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Revision 29 - (show annotations) (download) (as text)
Sat Oct 8 07:08:47 2016 UTC (8 years, 1 month ago) by dashley
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Directories relocated.
1 %!PS-Adobe-3.0
2 %%Title: Microsoft Word - SAEPAP00.doc
3 %%Creator: AdobePS5.dll Version 5.1.2
4 %%CreationDate: 6/29/2000 15:20:33
5 %%BoundingBox: (atend)
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8 %%PageOrder: Special
9 %%DocumentNeededResources: (atend)
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14 %%EndComments
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19
20
21 %%BeginProlog
22 %%BeginResource: file Pscript_WinNT_ErrorHandler 5.0 0
23 /currentpacking where{pop/oldpack currentpacking def/setpacking where{pop false
24 setpacking}if}if/$brkpage 64 dict def $brkpage begin/prnt{dup type/stringtype
25 ne{=string cvs}if dup length 6 mul/tx exch def/ty 10 def currentpoint/toy exch
26 def/tox exch def 1 setgray newpath tox toy 2 sub moveto 0 ty rlineto tx 0
27 rlineto 0 ty neg rlineto closepath fill tox toy moveto 0 setgray show}bind def
28 /nl{currentpoint exch pop lmargin exch moveto 0 -10 rmoveto}def/=={/cp 0 def
29 typeprint nl}def/typeprint{dup type exec}readonly def/lmargin 72 def/rmargin 72
30 def/tprint{dup length cp add rmargin gt{nl/cp 0 def}if dup length cp add/cp
31 exch def prnt}readonly def/cvsprint{=string cvs tprint( )tprint}readonly def
32 /integertype{cvsprint}readonly def/realtype{cvsprint}readonly def/booleantype
33 {cvsprint}readonly def/operatortype{(--)tprint =string cvs tprint(-- )tprint}
34 readonly def/marktype{pop(-mark- )tprint}readonly def/dicttype{pop
35 (-dictionary- )tprint}readonly def/nulltype{pop(-null- )tprint}readonly def
36 /filetype{pop(-filestream- )tprint}readonly def/savetype{pop(-savelevel- )
37 tprint}readonly def/fonttype{pop(-fontid- )tprint}readonly def/nametype{dup
38 xcheck not{(/)tprint}if cvsprint}readonly def/stringtype{dup rcheck{(\()tprint
39 tprint(\))tprint}{pop(-string- )tprint}ifelse}readonly def/arraytype{dup rcheck
40 {dup xcheck{({)tprint{typeprint}forall(})tprint}{([)tprint{typeprint}forall(])
41 tprint}ifelse}{pop(-array- )tprint}ifelse}readonly def/packedarraytype{dup
42 rcheck{dup xcheck{({)tprint{typeprint}forall(})tprint}{([)tprint{typeprint}
43 forall(])tprint}ifelse}{pop(-packedarray- )tprint}ifelse}readonly def/courier
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45 $error begin $brkpage begin newerror{/newerror false store vmstatus pop pop 0
46 ne{grestoreall}if showpage initgraphics courier setfont lmargin 720 moveto
47 errorname(VMError)eq{PrtVMMsg}{(ERROR: )prnt errorname prnt nl
48 (OFFENDING COMMAND: )prnt/command load prnt $error/ostack known{nl nl(STACK:)
49 prnt nl nl $error/ostack get aload length{==}repeat}if}ifelse systemdict
50 /showpage get exec(%%[ Error: )print errorname =print(; OffendingCommand: )
51 print/command load =print( ]%%)= flush}if end end end}dup 0 systemdict put dup
52 4 $brkpage put bind readonly put/currentpacking where{pop/setpacking where{pop
53 oldpack setpacking}if}if
54 %%EndResource
55 userdict /Pscript_WinNT_Incr 230 dict dup begin put
56 %%BeginResource: file Pscript_FatalError 5.0 0
57 /FatalErrorIf{{initgraphics findfont 1 index 0 eq{exch pop}{dup length dict
58 begin{1 index/FID ne{def}{pop pop}ifelse}forall/Encoding{ISOLatin1Encoding}
59 stopped{StandardEncoding}if def currentdict end/ErrFont-Latin1 exch definefont}
60 ifelse exch scalefont setfont counttomark 3 div cvi{moveto show}repeat showpage
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63 userdict begin/PrtVMMsg{vmstatus exch sub exch pop gt{[
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71 version cvi 2016 ge{/VM?{pop}bind def}{/VM? userdict/PrtVMMsg get def}ifelse
72 105000 VM?
73 %%BeginResource: file Pscript_Win_Basic 5.0 0
74 /d/def load def/,/load load d/~/exch , d/?/ifelse , d/!/pop , d/`/begin , d/^
75 /index , d/@/dup , d/+/translate , d/$/roll , d/U/userdict , d/M/moveto , d/-
76 /rlineto , d/&/currentdict , d/:/gsave , d/;/grestore , d/F/false , d/T/true ,
77 d/N/newpath , d/E/end , d/Ac/arc , d/An/arcn , d/A/ashow , d/D/awidthshow , d/C
78 /closepath , d/V/div , d/O/eofill , d/L/fill , d/I/lineto , d/-c/curveto , d/-M
79 /rmoveto , d/+S/scale , d/Ji/setfont , d/Lc/setlinecap , d/Lj/setlinejoin , d
80 /Lw/setlinewidth , d/Lm/setmiterlimit , d/sd/setdash , d/S/show , d/LH/showpage
81 , d/K/stroke , d/W/widthshow , d/R/rotate , d/L2? false/languagelevel where{pop
82 languagelevel 2 ge{pop true}if}if d L2?{/xS/xshow , d/yS/yshow , d/zS/xyshow ,
83 d}if/b{bind d}bind d/bd{bind d}bind d/xd{~ d}bd/ld{, d}bd/bn/bind ld/lw/Lw ld
84 /lc/Lc ld/lj/Lj ld/sg/setgray ld/ADO_mxRot null d/self & d/OrgMx matrix
85 currentmatrix d/reinitialize{: OrgMx setmatrix[/TextInit/GraphInit/UtilsInit
86 counttomark{@ where{self eq}{F}?{cvx exec}{!}?}repeat cleartomark ;}b
87 /initialize{`{/Pscript_Win_Data where{!}{U/Pscript_Win_Data & put}?/ADO_mxRot ~
88 d/TextInitialised? F d reinitialize E}{U/Pscript_Win_Data 230 dict @ ` put
89 /ADO_mxRot ~ d/TextInitialised? F d reinitialize}?}b/terminate{!{& self eq
90 {exit}{E}?}loop E}b/suspend/terminate , d/resume{` Pscript_Win_Data `}b U `
91 /lucas 21690 d/featurebegin{countdictstack lucas[}b/featurecleanup{stopped
92 {cleartomark @ lucas eq{! exit}if}loop countdictstack ~ sub @ 0 gt{{E}repeat}
93 {!}?}b E/snap{transform 0.25 sub round 0.25 add ~ 0.25 sub round 0.25 add ~
94 itransform}b/dsnap{dtransform round ~ round ~ idtransform}b/nonzero_round{@ 0.5
95 ge{round}{@ -0.5 lt{round}{0 ge{1}{-1}?}?}?}b/nonzero_dsnap{dtransform
96 nonzero_round ~ nonzero_round ~ idtransform}b U<04>cvn{}put/rr{1 ^ 0 - 0 ~ -
97 neg 0 - C}b/irp{4 -2 $ + +S fx 4 2 $ M 1 ^ 0 - 0 ~ - neg 0 -}b/rp{4 2 $ M 1 ^ 0
98 - 0 ~ - neg 0 -}b/solid{[]0 sd}b/g{@ not{U/DefIf_save save put}if U/DefIf_bool
99 2 ^ put}b/DefIf_El{if U/DefIf_bool get not @{U/DefIf_save get restore}if}b/e
100 {DefIf_El !}b/UDF{L2?{undefinefont}{!}?}b/UDR{L2?{undefineresource}{! !}?}b
101 /freeVM{/Courier findfont[40 0 0 -40 0 0]makefont Ji 2 vmreclaim}b
102 %%EndResource
103 %%BeginResource: file Pscript_Win_Utils_L2 5.0 0
104 /rf/rectfill , d/fx{1 1 dtransform @ 0 ge{1 sub 0.5}{1 add -0.5}? 3 -1 $ @ 0 ge
105 {1 sub 0.5}{1 add -0.5}? 3 1 $ 4 1 $ idtransform 4 -2 $ idtransform}b/BZ{4 -2 $
106 snap + +S fx rf}b/rs/rectstroke , d/rc/rectclip , d/UtilsInit{currentglobal{F
107 setglobal}if}b/scol{! setcolor}b/colspA/DeviceGray d/colspABC/DeviceRGB d
108 /colspRefresh{colspABC setcolorspace}b/SetColSpace{colspABC setcolorspace}b
109 %%EndResource
110 end
111 %%EndProlog
112
113 %%BeginSetup
114 statusdict begin (%%[ ProductName: ) print product print ( ]%%)= flush end
115 [ 1 0 0 1 0 0 ] false Pscript_WinNT_Incr dup /initialize get exec
116 featurebegin{
117 %%BeginNonPPDFeature: JobTimeout 0
118 0 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/JobTimeout 4 -1 roll put setuserparams}{statusdict/setjobtimeout get exec}ifelse
119 %%EndNonPPDFeature
120 }featurecleanup
121
122 featurebegin{
123 %%BeginNonPPDFeature: WaitTimeout 300
124 300 /languagelevel where{pop languagelevel}{1}ifelse 2 ge{1 dict dup/WaitTimeout 4 -1 roll put setuserparams}{statusdict/waittimeout 3 -1 roll put}ifelse
125 %%EndNonPPDFeature
126 }featurecleanup
127
128 featurebegin{
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130
131 <</DeferredMediaSelection true /PageSize [612 792] /ImagingBBox null>> setpagedevice
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146 %%BeginPageSetup
147 /DeviceRGB dup setcolorspace /colspABC exch def
148 mysetup concat colspRefresh
149 %%EndPageSetup
150
151 0 0 0 1 scol Pscript_WinNT_Incr begin
152 %%BeginResource: file Pscript_Text 5.0 0
153 /TextInit{TextInitialised? not{/Pscript_Windows_Font & d/TextInitialised? T d
154 /fM[1 0 0 1 0 0]d/mFM matrix d/iMat[1 0 0.212557 1 0 0]d}if}b/copyfont{1 ^
155 length add dict `{1 ^/FID ne{d}{! !}?}forall & E}b/EncodeDict 11 dict d/bullets
156 {{/bullet}repeat}b/rF{3 copyfont @ ` ~ EncodeDict ~ get/Encoding ~ 3 ^/0 eq{&
157 /CharStrings known{CharStrings/Eth known not{! EncodeDict/ANSIEncodingOld get}
158 if}if}if d E}b/mF{@ 7 1 $ findfont ~{@/Encoding get @ StandardEncoding eq{! T}{
159 {ISOLatin1Encoding}stopped{! F}{eq}?{T}{@ ` T 32 1 127{Encoding 1 ^ get
160 StandardEncoding 3 -1 $ get eq and}for E}?}?}{F}?{1 ^ ~ rF}{0 copyfont}? 6 -2 $
161 ! ! ~ !/pd_charset @ where{~ get 128 eq{@ FDV 2 copy get @ length array copy
162 put pd_CoverFCRange}if}{!}? 2 ^ ~ definefont fM 5 4 -1 $ put fM 4 0 put fM
163 makefont Pscript_Windows_Font 3 1 $ put}b/sLT{: Lw -M currentpoint snap M 0 - 0
164 Lc K ;}b/xUP null d/yUP null d/uW null d/xSP null d/ySP null d/sW null d/sSU{N
165 /uW ~ d/yUP ~ d/xUP ~ d}b/sU{xUP yUP uW sLT}b/sST{N/sW ~ d/ySP ~ d/xSP ~ d}b/sT
166 {xSP ySP sW sLT}b/sR{: + R 0 0 M}b/sRxy{: matrix astore concat 0 0 M}b/eR/; , d
167 /AddOrigFP{{&/FontInfo known{&/FontInfo get length 6 add}{6}? dict `
168 /WinPitchAndFamily ~ d/WinCharSet ~ d/OrigFontType ~ d/OrigFontStyle ~ d
169 /OrigFontName ~ d & E/FontInfo ~ d}{! ! ! ! !}?}b/mFS{makefont
170 Pscript_Windows_Font 3 1 $ put}b/mF42D{0 copyfont `/FontName ~ d 2 copy ~ sub 1
171 add dict `/.notdef 0 d 2 copy 1 ~{@ 3 ^ sub Encoding ~ get ~ d}for & E
172 /CharStrings ~ d ! ! & @ E/FontName get ~ definefont}b/mF42{15 dict ` @ 4 1 $
173 FontName ~ d/FontType 0 d/FMapType 2 d/FontMatrix[1 0 0 1 0 0]d 1 ^ 254 add 255
174 idiv @ array/Encoding ~ d 0 1 3 -1 $ 1 sub{@ Encoding 3 1 $ put}for/FDepVector
175 Encoding length array d/CharStrings 2 dict `/.notdef 0 d & E d 0 1 Encoding
176 length 1 sub{@ @ 10 lt{! FontName length 1 add string}{100 lt{FontName length 2
177 add string}{FontName length 3 add string}?}? @ 0 FontName @ length string cvs
178 putinterval @ 3 -1 $ @ 4 1 $ 3 string cvs FontName length ~ putinterval cvn 1 ^
179 256 mul @ 255 add 3 -1 $ 4 ^ findfont mF42D FDepVector 3 1 $ put}for & @ E
180 /FontName get ~ definefont ! ! ! mF}b/mF_OTF_V{3{~ !}repeat 3 -1 $ ! findfont 1
181 ^ ~ definefont fM @ @ 4 .34 put 5 0 put 90 matrix R matrix concatmatrix
182 makefont Pscript_Windows_Font 3 1 $ put}b/UmF{L2?{Pscript_Windows_Font ~ undef}
183 {!}?}b/UmF42{@ findfont/FDepVector get{/FontName get undefinefont}forall
184 undefinefont}b
185 %%EndResource
186 end reinitialize
187 Pscript_WinNT_Incr begin
188 %%BeginResource: file Pscript_Encoding256 5.0 0
189 /CharCol256Encoding[/.notdef/breve/caron/dotaccent/dotlessi/fi/fl/fraction
190 /hungarumlaut/Lslash/lslash/minus/ogonek/ring/Zcaron/zcaron/.notdef/.notdef
191 /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
192 /.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/exclam/quotedbl/numbersign
193 /dollar/percent/ampersand/quotesingle/parenleft/parenright/asterisk/plus/comma
194 /hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon
195 /semicolon/less/equal/greater/question/at/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S
196 /T/U/V/W/X/Y/Z/bracketleft/backslash/bracketright/asciicircum/underscore/grave
197 /a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/braceleft/bar/braceright
198 /asciitilde/.notdef/Euro/.notdef/quotesinglbase/florin/quotedblbase/ellipsis
199 /dagger/daggerdbl/circumflex/perthousand/Scaron/guilsinglleft/OE/.notdef
200 /.notdef/.notdef/.notdef/quoteleft/quoteright/quotedblleft/quotedblright/bullet
201 /endash/emdash/tilde/trademark/scaron/guilsinglright/oe/.notdef/.notdef
202 /Ydieresis/.notdef/exclamdown/cent/sterling/currency/yen/brokenbar/section
203 /dieresis/copyright/ordfeminine/guillemotleft/logicalnot/.notdef/registered
204 /macron/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph
205 /periodcentered/cedilla/onesuperior/ordmasculine/guillemotright/onequarter
206 /onehalf/threequarters/questiondown/Agrave/Aacute/Acircumflex/Atilde/Adieresis
207 /Aring/AE/Ccedilla/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute
208 /Icircumflex/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis
209 /multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls
210 /agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla/egrave/eacute
211 /ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis/eth/ntilde/ograve
212 /oacute/ocircumflex/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex
213 /udieresis/yacute/thorn/ydieresis]def EncodeDict/256 CharCol256Encoding put
214 %%EndResource
215 end reinitialize
216
217 %%IncludeResource: font Helvetica
218 Pscript_WinNT_Incr begin
219 %%BeginResource: file Pscript_Win_Euro_L2 5.0 0
220 /UseT3EuroFont{/currentdistillerparams where{pop currentdistillerparams
221 /CoreDistVersion get 4000 le}{false}ifelse}bind def/NewEuroT3Font?{dup/FontType
222 get 3 eq{dup/EuroFont known exch/BaseFont known and}{pop false}ifelse}bind def
223 /T1FontHasEuro{dup/CharStrings known not{dup NewEuroT3Font?{dup/EuroGlyphName
224 get exch/EuroFont get/CharStrings get exch known{true}{false}ifelse}{pop false}
225 ifelse}{dup/FontType get 1 eq{/CharStrings get/Euro known}{dup/InfoDict known{
226 /InfoDict get/Euro known}{/CharStrings get/Euro known}ifelse}ifelse}ifelse}bind
227 def/FontHasEuro{findfont dup/Blend known{pop true}{T1FontHasEuro}ifelse}bind
228 def/EuroEncodingIdx 1 def/EuroFontHdr{12 dict begin/FontInfo 10 dict dup begin
229 /version(001.000)readonly def/Notice(Copyright (c)1999 Adobe Systems
230 Incorporated. All Rights Reserved.)readonly def/FullName(Euro)readonly def
231 /FamilyName(Euro)readonly def/Weight(Regular)readonly def/isFixedPitch false
232 def/ItalicAngle 0 def/UnderlinePosition -100 def/UnderlineThickness 50 def end
233 readonly def/FontName/Euro def/Encoding 256 array 0 1 255{1 index exch/.notdef
234 put}for def/PaintType 0 def/FontType 1 def/FontMatrix[0.001 0 0 0.001 0 0]def
235 /FontBBox{-25 -23 1500 804}readonly def currentdict end dup/Private 20 dict dup
236 begin/ND{def}def/NP{put}def/lenIV -1 def/RD{string currentfile exch
237 readhexstring pop}def/-|{string currentfile exch readstring pop}executeonly def
238 /|-{def}executeonly def/|{put}executeonly def/BlueValues[-20 0 706 736 547 572]
239 |-/OtherBlues[-211 -203]|-/BlueScale 0.0312917 def/MinFeature{16 16}|-/StdHW
240 [60]|-/StdVW[71]|-/ForceBold false def/password 5839 def/Erode{8.5 dup 3 -1
241 roll 0.1 mul exch 0.5 sub mul cvi sub dup mul 71 0 dtransform dup mul exch dup
242 mul add le{pop pop 1.0 1.0}{pop pop 0.0 1.5}ifelse}def/OtherSubrs[{}{}{}
243 {systemdict/internaldict known not{pop 3}{1183615869 systemdict/internaldict
244 get exec dup/startlock known{/startlock get exec}{dup/strtlck known{/strtlck
245 get exec}{pop 3}ifelse}ifelse}ifelse}executeonly]|-/Subrs 5 array dup 0
246 <8E8B0C100C110C110C210B>put dup 1<8B8C0C100B>put dup 2<8B8D0C100B>put dup 3<0B>
247 put dup 4<8E8C8E0C100C110A0B>put |- 2 index/CharStrings 256 dict dup begin
248 /.notdef<8b8b0d0e>def end end put put dup/FontName get exch definefont pop}bind
249 def/AddEuroGlyph{2 index exch EuroEncodingIdx 1 eq{EuroFontHdr}if systemdict
250 begin/Euro findfont dup dup/Encoding get 5 1 roll/Private get begin/CharStrings
251 get dup 3 index known{pop pop pop pop end end}{begin 1 index exch def end end
252 end EuroEncodingIdx dup 1 add/EuroEncodingIdx exch def exch put}ifelse}bind def
253 /GetNewXUID{currentdict/XUID known{[7 XUID aload pop]true}{currentdict/UniqueID
254 known{[7 UniqueID]true}{false}ifelse}ifelse}bind def/BuildT3EuroFont{exch 16
255 dict begin dup/FontName exch def findfont dup/Encoding get/Encoding exch def
256 dup length 1 add dict copy dup/FID undef begin dup dup/FontName exch def
257 /Encoding 256 array 0 1 255{1 index exch/.notdef put}for def GetNewXUID{/XUID
258 exch def}if currentdict end definefont pop/BaseFont exch findfont 1000
259 scalefont def/EuroFont exch findfont 1000 scalefont def pop/EuroGlyphName exch
260 def/FontType 3 def/FontMatrix[.001 0 0 .001 0 0]def/FontBBox BaseFont/FontBBox
261 get def/Char 1 string def/BuildChar{exch dup begin/Encoding get 1 index get
262 /Euro eq{BaseFont T1FontHasEuro{false}{true}ifelse}{false}ifelse{EuroFont
263 setfont pop userdict/Idx 0 put EuroFont/Encoding get{EuroGlyphName eq{exit}
264 {userdict/Idx Idx 1 add put}ifelse}forall userdict/Idx get}{dup dup Encoding
265 exch get BaseFont/Encoding get 3 1 roll put BaseFont setfont}ifelse Char 0 3 -1
266 roll put Char stringwidth newpath 0 0 moveto Char true charpath flattenpath
267 pathbbox setcachedevice 0 0 moveto Char show end}bind def currentdict end dup
268 /FontName get exch definefont pop}bind def/AddEuroToT1Font{dup findfont dup
269 length 10 add dict copy dup/FID undef begin/EuroFont 3 -1 roll findfont 1000
270 scalefont def CharStrings dup length 1 add dict copy begin/Euro{EuroFont
271 setfont pop EuroGBBox aload pop setcachedevice 0 0 moveto EuroGName glyphshow}
272 bind def currentdict end/CharStrings exch def GetNewXUID{/XUID exch def}if 3 1
273 roll/EuroGBBox exch def/EuroGName exch def currentdict end definefont pop}bind
274 def/BuildNewFont{UseT3EuroFont{BuildT3EuroFont}{pop AddEuroToT1Font}ifelse}bind
275 def/UseObliqueEuro{findfont/FontMatrix get dup 2 get 0 eq exch dup 0 get exch 3
276 get eq and UseT3EuroFont or}bind def
277 %%EndResource
278 end reinitialize
279 7500 VM?
280 /Helvetica FontHasEuro not
281 {
282 /Euro.Helvetica
283 [556 0 24 -19 541 703 ]
284 <A3F8C00DD4E90378DA01F779D301F808D301F904DA01F899F908156CB447AD338B08FB2D
285 8B372B7BFB37085806724305D30644075B06724305DA06A0FB36E035F7218B08E08BCDB7
286 939208EE077A71405E418B083F8B4CCE84F108F76506A3D305FB8306D207F79C06A3D305
287 FBB10692E2B7E8F28B08E08BBE62A45A08090E>
288 AddEuroGlyph
289 /Euro /Helvetica /Helvetica-Copy BuildNewFont
290 } if
291 F /F0 0 /256 T /Helvetica mF
292 /F0S2A F0 [42 0 0 -42 0 0 ] mFS
293 F0S2A Ji
294 1185 3158 M (1)S
295
296 %%IncludeResource: font Helvetica-Bold
297 7500 VM?
298 /Helvetica-Bold FontHasEuro not
299 {
300 /Euro.Helvetica-Bold
301 [556 0 12 -19 563 710 ]
302 <97F8C00DDBF7240378F70401F774EA01F803EA01F8EAF70401F8BBF9011571B141BE278B
303 08FB278B303173FB32085906642C05DB0676078B828C828B82086206632C05E506A8FB3A
304 EC3EF71B8B08C18BC192B9A908F71407676C54754C8B083B8B6ED483C508F72C06B3EA05
305 FB5E06BB07F77106B3EA05FB91069AE5B2B9CC8B08C98BB26FA17408A07691828F830809
306 0E>
307 AddEuroGlyph
308 /Euro /Helvetica-Bold /Helvetica-Bold-Copy BuildNewFont
309 } if
310 F /F1 0 /256 T /Helvetica-Bold mF
311 /F1S3A F1 [58 0 0 -58 0 0 ] mFS
312 F1S3A Ji
313 2065 164 M (99PC-314)[32 32 39 42 19 32 32 0]xS
314 /F1S4B F1 [75 0 0 -75 0 0 ] mFS
315 F1S4B Ji
316 522 305 M (A Hybrid System Solution Of The Interrupt Latency)[50 21 54 38 46 29 21 46 21 50 38 42 25 42 67 21 50 46 21 46 25 21 46 46 21 58 25 21 46 46 42 21
317 21 46 25 42 29 29 46 46 25 21 46 42 25 42 46 42 0]xS
318 1532 395 M (Compatibility Problem)[54 46 67 44 42 25 21 46 21 21 21 25 38 21 50 29 46 46 21 42 0]xS
319 /F1S32 F1 [50 0 0 -50 0 0 ] mFS
320 F1S32 Ji
321 2116 535 M (Feng Lin)[31 28 30 31 14 31 14 0]xS
322 F0S2A Ji
323 552 586 M (Department of Electrical and Computer Engineering, Wayne S)[30 23 23 23 14 12 36 23 23 12 12 23 13 12 28 10 23 21 12 14 10 21 23 10 12 23 23 23 12 30 23 36
324 23 23 12 23 14 12 28 23 23 10 23 23 23 14 10 23 23 12 12 42 23 21 23 23 12 0]xS
325 1711 586 M (tate University, Detroit, MI 48202)[12 23 12 23 12 30 23 10 23 23 14 20 10 12 21 12 12 30 23 12 14 23 10 12 12 12 35 12 12 23 23 23
326 23 0]xS
327 F1S32 Ji
328 1953 693 M (David T. Ashley)[36 28 27 14 31 14 32 14 14 35 28 30 14 28 0]xS
329 F0S2A Ji
330 310 744 M (Electronics Technical Center, Visteon Automotive Systems, 17000 Rotunda Drive, Dearborn, MI 48121-6010)
331 [28 10 23 21 12 14 23 23 10 21 20 12 26 23 21 23 23 10 21 23 10 12 30 23 23 12 23 14 12 12 28 10
332 20 12 23 23 23 12 28 23 12 23 36 23 12 10 23 23 12 28 21 20 12 23 36 20 12 12 23 23 23 23 23 12
333 30 23 12 23 23 23 23 12 30 14 10 23 23 12 12 30 23 23 14 23 23 14 23 12 12 35 12 12 23 23 23 23
334 23 14 23 23 23 0]xS
335 F1S32 Ji
336 1905 851 M (Michael Heymann)[41 14 28 30 28 28 14 14 36 28 27 44 28 30 0]xS
337 F0S2A Ji
338 568 902 M (Department of Computer Science, Technion, Isr)[30 23 23 23 14 12 36 23 23 12 12 23 13 12 30 23 36 23 23 12 23 14 12 28 21 10 23 23 21 23 12 12
339 26 23 21 23 23 10 23 23 12 12 12 20 0]xS
340 1458 902 M (ael Ins)[23 23 10 12 12 23 0]xS
341 1581 902 M (titute of Technology, Haifa 32000, Israel)[12 10 12 23 12 23 12 23 13 12 26 23 21 23 23 23 10 23 23 21 12 12 30 23 10 13 23 12 23 23 23 23
342 23 12 12 12 20 14 23 23 0]xS
343 F1S32 Ji
344 1931 1011 M (Michael J. Burke)[41 14 28 30 28 28 14 14 28 14 14 36 30 19 28 0]xS
345 F0S2A Ji
346 310 1063 M (Electronics Technical Center, Visteon Automotive Systems, 17000 )
347 [28 10 23 21 12 14 23 23 10 21 20 12 26 23 21 23 23 10 21 23 10 12 30 23 23 12 23 14 12 12 28 10
348 20 12 23 23 23 12 28 23 12 23 36 23 12 10 23 23 12 28 21 20 12 23 36 20 12 12 23 23 23 23 23 0]xS
349 1555 1063 M (Rotunda Drive,)[30 23 12 23 23 23 23 12 30 14 10 23 23 0]xS
350 1836 1063 M ( Dearborn, MI 48121-6010)[12 30 23 23 14 23 23 14 23 12 12 35 12 12 23 23 23 23 23 14 23 23 23 0]xS
351 /F0S21 F0 [33 0 0 -33 0 0 ] mFS
352 F0S21 Ji
353 75 1257 M (Copyright \251 1997 Society of Automotive Engineers, Inc.)[24 17 18 15 11 7 18 18 9 9 24 9 18 18 18 18 9 22 17 17 7 17 9 15 9 17 10 9 22 18 9 17
354 27 17 9 7 15 17 9 22 18 18 7 18 17 17 11 17 9 9 9 18 17 0]xS
355 /F1S2A F1 [42 0 0 -42 0 0 ] mFS
356 F1S2A Ji
357 75 1505 M (ABSTRACT)[29 30 28 27 30 29 30 0]xS
358 F0S2A Ji
359 75 1604 M (Microprocessors and microcontrollers are now widely)[35 10 21 14 23 23 14 23 21 23 20 20 23 14 20 25 23 23 23 26 36 10 21 14 23 21 23 23 12 14 23 10
360 10 23 14 20 26 23 14 23 26 23 23 29 26 29 10 23 23 10 0]xS
361 75 1652 M (used in automobil)[23 20 23 23 19 10 23 20 23 23 12 23 36 23 23 10 0]xS
362 419 1652 M (es. Microprocessor systems contain)[23 20 12 20 20 35 10 21 14 23 23 14 23 21 23 20 20 23 14 20 20 21 20 12 23 36 20 20 21 23 23 12
363 23 10 0]xS
364 75 1700 M (sources of interrupt and interrupt service routines, which)[20 23 23 14 21 23 20 13 23 13 13 10 23 12 23 14 14 23 23 12 13 23 23 23 13 10 23 12 23 14 14 23
365 23 12 13 20 23 14 23 10 21 23 14 14 23 23 12 10 23 23 20 12 14 29 23 10 21 0]xS
366 75 1748 M (are software components executed in response to t)[23 14 23 20 20 23 13 12 29 23 14 23 20 21 23 36 23 23 23 23 23 12 20 20 23 22 23 21 23 12 23 23
367 20 10 23 20 14 23 20 23 23 23 20 23 20 12 23 21 0]xS
368 1079 1748 M (he)[23 0]xS
369 75 1796 M (assertion of an interrupt in hardware. A major problem)[23 20 20 23 14 12 10 23 23 15 23 13 16 23 23 16 10 23 12 23 14 14 23 23 12 16 10 23 16 23 23 14
370 23 29 23 14 23 12 16 16 28 16 36 23 10 23 14 16 23 14 23 23 10 23 0]xS
371 75 1844 M (in designing the software of microprocessor systems is)[10 23 17 23 23 20 10 23 23 10 23 23 17 12 23 23 17 20 23 13 12 29 23 14 23 17 23 13 17 36 10 21
372 14 23 23 14 23 21 23 20 20 23 14 18 20 21 20 12 23 36 20 18 10 0]xS
373 75 1892 M (the analytical treatment of interrupt latency. Because)[12 23 23 20 23 23 23 10 21 12 10 21 23 10 20 12 14 23 23 12 36 23 23 12 20 23 13 20 10 23 12 23
374 14 14 23 23 12 20 10 23 12 23 23 21 21 12 21 21 28 23 21 23 23 20 0]xS
375 75 1940 M (multiple interrupt service routines are executed on the)[36 23 10 12 10 23 10 23 19 10 23 12 23 14 14 23 23 12 19 20 23 14 23 10 21 23 19 14 23 23 12 10
376 23 23 20 19 23 14 23 19 23 22 23 21 23 12 23 23 19 23 23 19 12 23 0]xS
377 75 1988 M (same CPU, they compete for the CPU and interfere with)[20 23 36 23 12 30 28 30 12 12 12 23 23 21 12 21 23 36 23 23 12 23 13 13 23 14 13 12 23 23 13 30
378 28 30 13 23 23 23 13 10 23 12 23 14 13 23 14 23 13 29 10 12 0]xS
379 75 2036 M (each other's latency requirements. Here, i)[23 23 21 23 32 23 12 23 23 14 8 20 32 10 23 12 23 23 21 21 32 14 23 23 23 10 14 23 36 23 23 12
380 20 12 32 32 30 23 14 23 12 32 0]xS
381 981 2036 M (nterrupt)[23 12 23 14 14 23 23 0]xS
382 75 2084 M (latency is defined as the delay between the assertion of)[10 23 12 23 23 21 21 14 10 20 14 23 23 13 10 23 23 23 14 23 20 14 12 23 23 14 23 23 10 23 21 15
383 23 23 12 29 23 23 23 15 12 23 23 15 23 20 20 23 14 12 10 23 23 15 23 0]xS
384 75 2132 M (the interrupt in hardware and the start of execution of)[12 23 23 19 10 23 12 23 14 14 23 23 12 19 10 23 19 23 23 14 23 29 23 14 23 19 23 23 23 19 12 23
385 23 19 20 12 23 14 12 19 23 13 20 23 22 23 21 23 12 10 23 23 20 23 0]xS
386 75 2180 M (the associated interrupt service routine. It is estimated)[12 23 23 16 23 20 20 23 21 10 23 12 23 23 16 10 23 12 23 14 14 23 23 12 16 20 23 14 23 10 21 23
387 16 14 23 23 12 10 23 23 12 16 16 12 12 17 10 20 17 23 20 12 10 36 23 12 23 0]xS
388 75 2228 M (that 80% of intermittent bugs in small microprocessor)[12 23 23 12 20 23 23 37 20 23 13 21 10 23 12 23 14 36 10 12 12 23 23 12 21 23 23 23 20 21 10 23
389 21 20 36 23 10 10 21 36 10 21 14 23 23 14 23 21 23 20 20 23 0]xS
390 75 2276 M (software loads are due to improper treatment of)[20 23 13 12 29 23 14 23 35 10 23 23 23 20 35 23 14 23 36 23 23 23 36 12 23 36 10 36 23 14 23 23
391 23 14 36 12 14 23 23 12 36 23 23 12 36 23 0]xS
392 75 2324 M (interrupts. Until)[10 23 12 23 14 14 23 23 12 20 12 17 18 30 23 12 10 0]xS
393 381 2324 M ( this work, there is no analytic method)[18 12 23 10 20 18 29 23 14 21 12 18 12 23 23 14 23 18 10 20 18 23 23 18 23 23 23 10 21 12 10 21
394 18 36 23 12 23 23 0]xS
395 75 2372 M (for analyzing a particular system to determine if it may)[13 23 14 16 23 23 23 10 21 21 10 23 23 16 23 16 23 23 14 12 10 21 23 10 23 14 16 20 21 20 12 23
396 36 16 12 23 17 23 23 12 23 14 36 10 23 23 17 10 13 17 10 12 17 36 23 0]xS
397 75 2420 M (violate interrupt latency requirements. There is also no)[23 10 23 10 23 12 23 15 10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 15 14 23 23 23 10 14
398 23 36 23 23 12 20 12 15 15 26 23 23 14 23 15 10 20 16 23 10 20 23 16 23 0]xS
399 75 2468 M (reliable empirical method for ruling out the possibility of)[14 23 10 10 23 23 10 23 14 23 36 23 10 14 10 21 23 10 14 36 23 12 23 23 23 14 13 23 14 15 14 23
400 10 10 23 23 15 23 23 12 15 12 23 23 15 23 23 20 20 10 23 10 10 10 12 21 15 23 0]xS
401 75 2516 M (interrupt latency violations in a particular system, as)[10 23 12 23 14 14 23 23 12 24 10 23 12 23 23 21 21 24 23 10 23 10 23 12 10 23 23 20 24 10 23 24
402 23 24 23 23 14 12 10 21 23 10 23 14 25 20 21 20 12 23 36 12 25 23 0]xS
403 75 2564 M (they may occur u)[12 23 23 21 13 36 23 21 13 23 21 21 23 14 13 0]xS
404 398 2564 M (nder only very specific conditions. We)[23 23 23 14 13 23 23 10 21 13 23 23 14 21 13 20 23 23 21 10 13 10 21 13 21 23 23 23 10 12 10 23
405 23 20 12 14 14 42 0]xS
406 75 2612 M (use a newly developed hybrid system approach to solve)[23 20 23 13 23 13 23 23 29 10 21 13 23 23 23 23 10 23 23 23 23 13 23 21 23 14 10 23 14 20 21 20
407 12 23 36 14 23 23 23 14 23 23 21 23 14 12 23 14 20 23 10 23 0]xS
408 75 2660 M (this interrupt latency compatibility analysis problem. We)[12 23 10 20 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23 23 12 10 23 10
409 10 10 12 21 12 23 23 23 10 21 20 10 20 12 23 14 23 23 10 23 36 12 12 13 42 0]xS
410 75 2708 M (have developed an efficient algorithm to determine if)[23 23 23 23 21 23 23 23 23 10 23 23 23 23 21 23 23 21 23 13 13 10 21 10 23 23 12 22 23 10 23 23
411 14 10 12 23 36 22 12 23 22 23 23 12 23 14 36 10 23 23 22 10 0]xS
412 75 2756 M (interrupt latency violations may occur in a particular)[10 23 12 23 14 14 23 23 12 25 10 23 12 23 23 21 21 25 23 10 23 10 23 12 10 23 23 20 25 36 23 21
413 25 23 21 21 23 14 25 10 23 25 23 25 23 23 14 12 10 21 23 10 23 0]xS
414 75 2804 M (system. A software tool that implements the algorithm)[20 21 20 12 23 36 12 16 17 28 17 20 23 13 12 29 23 14 23 17 12 23 23 10 17 12 23 23 12 17 10 36
415 23 10 23 36 23 23 12 20 17 12 23 23 17 23 10 23 23 14 10 12 23 0]xS
416 75 2852 M (is also being developed. With such software, we can)[10 20 19 23 10 20 23 19 23 23 10 23 23 19 23 23 23 23 10 23 23 23 23 12 19 19 42 10 12 23 19 20
417 23 21 23 20 20 23 13 12 29 23 14 23 12 20 29 23 20 21 23 0]xS
418 75 2900 M (easily check if interrupt latency constraints may be)[23 23 20 10 10 21 28 21 23 23 21 21 28 10 13 28 10 23 12 23 14 14 23 23 12 28 10 23 12 23 23 21
419 21 28 21 23 23 20 12 14 23 10 23 12 20 28 36 23 21 29 23 0]xS
420 75 2948 M (violated under any circumstances. If so, such software)[23 10 23 10 23 12 23 23 18 23 23 23 23 14 18 23 23 21 18 21 10 14 21 23 36 20 12 23 23 21 23 20
421 12 18 12 13 18 20 23 12 18 20 23 21 23 19 20 23 13 12 29 23 14 0]xS
422 75 2996 M (may also indicate how to modify the interrupts and)[36 23 21 26 23 10 20 23 26 10 23 23 10 21 23 12 23 26 23 23 29 26 12 23 27 36 23 23 10 13 21 27
423 12 23 23 27 10 23 12 23 14 14 23 23 12 20 27 23 23 0]xS
424 75 3044 M (interrupt service routines to avoid such violations.)[10 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 20 12 12 23 12 23 23
425 23 10 23 12 20 23 21 23 12 23 10 23 10 23 12 10 23 23 20 0]xS
426 F1S2A Ji
427 1275 1553 M (INTRODUCTION)[12 30 27 30 33 30 30 30 27 12 33 0]xS
428 F0S2A Ji
429 1275 1652 M (Microprocessor systems contain interrupt sources \()[35 10 21 14 23 23 14 23 21 23 20 20 23 14 16 20 21 20 12 23 36 20 16 21 23 23 12 23 10 23 16 10
430 23 12 23 14 14 23 23 12 17 20 23 23 14 21 23 20 17 0]xS
431
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453 F /F2 0 /256 T /Helvetica-Oblique mF
454 /F2S2A F2 [42 0 0 -42 0 0 ] mFS
455 F2S2A Ji
456 2240 1652 M (IS)[11 0]xS
457 F0S2A Ji
458 2279 1652 M (s\),)[20 14 0]xS
459 1275 1701 M (which can request service from the processor \(assert an)[29 23 10 21 23 13 21 23 23 13 14 23 23 23 23 20 12 13 20 23 14 23 10 21 23 13 13 14 23 36 14 12
460 23 23 14 23 14 23 21 23 20 20 23 14 14 14 23 20 20 23 14 12 14 23 0]xS
461 1275 1749 M (interrupt\), and must always have a software response)[10 23 12 23 14 14 23 23 12 14 12 20 23 23 23 20 36 23 20 12 20 23 10 29 23 21 20 20 23 23 23 23
462 21 23 21 20 23 13 12 29 23 14 23 21 14 23 20 23 23 23 20 0]xS
463 1275 1797 M (\(the execution of the corresponding software interrupt)[14 12 23 23 21 23 22 23 21 23 12 10 23 23 21 23 13 22 12 23 23 22 21 23 14 14 23 20 23 23 23 23
464 10 23 23 22 20 23 13 12 29 23 14 23 22 10 23 12 23 14 14 23 23 0]xS
465 1275 1845 M (service routine, or )[20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 12 12 23 14 0]xS
466 F2S2A Ji
467 1622 1845 M (ISR)[11 28 0]xS
468 F0S2A Ji
469 1691 1845 M (\) starting within an interval of time)[14 12 20 12 23 14 12 10 23 23 12 29 10 12 23 10 23 12 23 23 13 10 23 12 23 14 23 23 10 13 23 13
470 13 12 10 36 0]xS
471 1275 1894 M (\(the maximum allowable interrupt latency, or )[14 12 23 23 17 36 23 22 10 36 23 36 17 23 10 10 23 29 23 23 10 23 17 10 23 12 23 14 14 23 23 12
472 17 10 23 12 23 23 21 21 12 17 23 14 0]xS
473 F2S2A Ji
474 2146 1894 M (AIL)[28 11 0]xS
475 F0S2A Ji
476 2208 1894 M (\) after)[14 18 23 13 12 23 0]xS
477 1275 1943 M (the assertion of the hardware interrupt. Because a)[12 23 23 26 23 20 20 23 14 12 10 23 23 26 23 13 26 12 23 23 26 23 23 14 23 29 23 14 23 26 10 23
478 12 23 14 14 23 23 12 12 26 26 28 23 21 23 23 20 23 26 0]xS
479 1275 1991 M (processor may execute only one stream of instructions)[23 14 23 21 23 20 20 23 14 17 36 23 21 17 23 22 23 21 23 12 23 17 23 23 10 21 17 23 23 23 17 20
480 12 14 23 23 36 18 23 13 18 10 23 20 12 14 23 21 12 10 23 23 0]xS
481 1275 2039 M (at a time, the execution of one ISR may delay the)[23 12 24 23 24 12 10 36 23 12 25 12 23 23 25 23 22 23 21 23 12 10 23 23 25 23 13 25 23 23 23 25
482 12 28 30 25 36 23 21 25 23 23 10 23 21 25 12 23 0]xS
483 1275 2087 M (execution of another ISR until the first has completed.)[23 22 23 21 23 12 10 23 23 18 23 13 18 23 23 23 12 23 23 14 18 12 28 30 18 23 23 12 10 10 18 12
484 23 23 18 13 10 14 20 12 19 23 23 20 19 21 23 36 23 10 23 12 23 23 0]xS
485 1275 2135 M (Hence, ISs and their associated ISRs interfere with each)[30 23 23 21 23 12 12 12 28 20 12 23 23 23 12 12 23 23 10 14 12 23 20 20 23 21 10 23 12 23 23 13
486 12 28 30 20 13 10 23 12 23 14 13 23 14 23 13 29 10 12 23 13 23 23 21 0]xS
487 1275 2183 M (other\222s interrupt latency requirements and may not be)[23 12 23 23 14 9 20 20 10 23 12 23 14 14 23 23 12 20 10 23 12 23 23 21 21 20 14 23 23 23 10 14
488 23 36 23 23 12 20 20 23 23 23 20 36 23 21 21 23 23 12 21 23 0]xS
489 1275 2231 M (combined arbitrarily in the same microprocessor system)[21 23 36 23 10 23 23 23 14 23 14 23 10 12 14 23 14 10 10 21 14 10 23 14 12 23 23 14 20 23 36 23
490 14 36 10 21 14 23 23 14 23 21 23 20 20 23 14 14 20 21 20 12 23 0]xS
491 1275 2279 M (without the possibility of the AIL being violated for some)[29 10 12 23 23 23 12 13 12 23 23 13 23 23 20 20 10 23 10 10 10 12 21 13 23 13 13 12 23 23 13 28
492 12 23 13 23 23 10 23 23 14 23 10 23 10 23 12 23 23 14 13 23 14 14 20 23 36 0]xS
493 1275 2327 M (or all ISs.)[23 14 12 23 10 10 12 12 28 20 0]xS
494 1275 2425 M (As a necessary condition to guarantee that a)[28 20 44 23 44 23 23 21 23 20 20 23 14 21 44 21 23 23 23 10 12 10 23 23 44 12 23 44 23 23 23 14
495 23 23 12 23 23 44 12 23 23 12 44 0]xS
496 1275 2473 M (microprocessor system will always behave as intended,)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 15 20 21 20 12 23 36 16 29 10 10 10 16 23 10 29 23 21
497 20 16 23 23 23 23 23 23 16 23 20 16 10 23 12 23 23 23 23 23 0]xS
498 1275 2521 M (each IS must always be serviced by its corresponding)[23 23 21 23 18 12 28 19 36 23 20 12 19 23 10 29 23 21 20 19 23 23 19 20 23 14 23 10 21 23 23 19
499 23 21 19 10 12 20 19 21 23 14 14 23 20 23 23 23 23 10 23 0]xS
500 1275 2569 M (ISR within the AIL. Verifying that the interrupt latency)[12 28 30 17 29 10 12 23 10 23 17 12 23 23 18 28 12 23 12 18 18 28 23 14 10 13 21 10 23 23 18 12
501 23 23 12 18 12 23 23 18 10 23 12 23 14 14 23 23 12 18 10 23 12 23 23 21 0]xS
502 1275 2617 M (requirement is always satisfied for every IS is the)[14 23 23 23 10 14 23 36 23 23 12 29 10 20 29 23 10 29 23 21 20 29 20 23 12 10 20 13 10 23 23 29
503 13 23 14 29 23 23 23 14 21 29 12 28 30 10 20 30 12 23 0]xS
504 1275 2665 M (interrupt latency compatibility problem that we address)[10 23 12 23 14 14 23 23 12 18 10 23 12 23 23 21 21 18 21 23 36 23 23 12 10 23 10 10 10 12 21 18
505 23 14 23 23 10 23 36 18 12 23 23 12 18 29 23 19 23 23 23 14 23 20 0]xS
506 1275 2713 M (in this paper.)[10 23 12 12 23 10 20 12 23 23 23 23 14 0]xS
507 1275 2811 M (The importance of the interrupt latency compatibility)[26 23 23 25 10 36 23 23 14 12 23 23 21 23 26 23 13 26 12 23 23 26 10 23 12 23 14 14 23 23 12 26
508 10 23 12 23 23 21 21 26 21 23 36 23 23 12 10 23 10 10 10 12 0]xS
509 1275 2859 M (problem in microprocessor system design cannot be)[23 14 23 23 10 23 36 25 10 23 26 36 10 21 14 23 23 14 23 21 23 20 20 23 14 26 20 21 20 12 23 36
510 26 23 23 20 10 23 23 26 21 23 23 23 23 12 26 23 0]xS
511 1275 2907 M (overstated. A system accidentally constructed so that)[23 23 23 14 20 12 23 12 23 23 12 19 19 28 19 20 21 20 12 23 36 19 23 21 21 10 23 23 23 12 23 10
512 10 21 19 21 23 23 20 12 14 23 21 12 23 23 19 20 23 20 12 23 23 0]xS
513 1275 2955 M (interrupt latency incompatibilities exist has a high)[10 23 12 23 14 14 23 23 12 34 10 23 12 23 23 21 21 35 10 23 21 23 36 23 23 12 10 23 10 10 10 12
514 10 23 20 35 23 22 10 20 12 35 23 23 20 35 23 35 23 10 23 0]xS
515 1275 3003 M (probability of exhibiting serious behavioral defects which)[23 14 23 23 23 23 10 10 10 12 21 12 23 13 12 23 22 23 10 23 10 12 10 23 23 12 20 23 14 10 23 23
516 20 12 23 23 23 23 23 10 23 14 23 10 13 23 23 13 23 21 12 20 13 29 23 10 21 0]xS
517 1275 3051 M (are )[23 14 23 0]xS
518 F2S2A Ji
519 1365 3051 M (intermittent)[9 23 12 23 14 35 9 12 12 23 23 0]xS
520 F0S2A Ji
521 1572 3051 M (, because the conditions required to)[12 30 23 23 21 23 23 20 23 30 12 23 23 30 21 23 23 23 10 12 10 23 23 20 30 14 23 23 23 10 14 23
522 23 31 12 0]xS
523 LH
524 (%%[Page: 1]%%) =
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535 0 0 0 1 scol 1185 3158 M (2)S
536 75 156 M (cause an interrupt latency violation may involve specific)[21 23 23 20 23 13 23 23 13 10 23 12 23 14 14 23 23 12 13 10 23 12 23 23 21 21 13 23 10 23 10 23
537 12 10 23 23 14 36 23 21 14 10 23 23 23 10 23 23 14 20 23 23 21 10 13 10 0]xS
538 75 204 M (timing relationships between the assertion of different)[12 10 36 10 23 23 21 14 23 10 23 12 10 23 23 20 23 10 23 20 21 23 23 12 29 23 23 23 22 12 23 23
539 22 23 20 20 23 14 12 10 23 23 22 23 13 22 23 10 13 13 23 14 23 23 0]xS
540 75 252 M (hardware interrupts. Furthermore, it is uncertain that)[23 23 14 23 29 23 14 23 22 10 23 12 23 14 14 23 23 12 20 12 22 22 26 23 14 12 23 23 14 36 23 14
541 23 12 22 10 12 22 10 20 22 23 23 21 23 14 12 23 10 23 23 12 23 23 0]xS
542 75 300 M (product testing will excite the system with these)[23 14 23 23 23 21 12 36 12 23 20 12 10 23 23 36 29 10 10 10 36 23 22 21 10 12 23 36 12 23 23 36
543 20 21 20 12 23 36 36 29 10 12 23 37 12 23 23 20 0]xS
544 75 348 M (necessary timing relationships. For an automobile)[23 23 21 23 20 20 23 14 21 31 12 10 36 10 23 23 31 14 23 10 23 12 10 23 23 20 23 10 23 20 12 31
545 31 26 23 14 31 23 23 32 23 23 12 23 36 23 23 10 10 0]xS
546 75 396 M (manufacturer which produces microprocessor systems)[36 23 23 23 13 23 21 12 23 14 23 14 22 29 23 10 21 23 22 23 14 23 23 23 21 23 20 22 36 10 21 14
547 23 23 14 23 21 23 20 20 23 14 23 20 21 20 12 23 36 0]xS
548 75 444 M (with firmware that cannot be altered after production,)[29 10 12 23 21 13 10 14 36 29 23 14 23 22 12 23 23 12 22 21 23 23 23 23 12 22 23 23 22 23 10 12
549 23 14 23 23 22 23 13 12 23 14 22 23 14 23 23 23 21 12 10 23 23 0]xS
550 75 492 M (intermittent defects may cause disappointed customers,)[10 23 12 23 14 36 10 12 12 23 23 12 15 23 23 13 23 21 12 20 15 36 23 21 15 21 23 23 20 23 15 23
551 10 20 23 23 23 23 10 23 12 23 23 15 21 23 20 12 23 36 23 14 20 0]xS
552 75 540 M (warranty returns, or government-mandated vehicle)[29 23 14 14 23 23 12 21 39 14 23 12 23 14 23 20 12 39 23 14 39 23 23 23 23 14 23 36 23 23 12 14
553 36 23 23 23 23 12 23 23 40 23 23 23 10 21 10 0]xS
554 75 588 M (recalls. For systems which may cause injury or loss of)[14 23 21 23 10 10 20 12 15 16 26 23 14 16 20 21 20 12 23 36 20 16 29 23 10 21 23 16 36 23 21 16
555 21 23 23 20 23 16 10 23 10 23 14 21 16 23 14 16 10 23 20 20 16 23 0]xS
556 75 636 M (life through defective behavior\227such as airbag)[10 10 13 23 46 12 23 14 23 23 23 23 46 23 23 13 23 21 12 10 23 23 46 23 23 23 23 23 10 23 14 42
557 20 23 21 23 47 23 20 47 23 10 14 23 23 0]xS
558 75 684 M (deployment systems, ABS systems, throttle controls, or)[23 23 23 10 23 21 36 23 23 12 13 20 21 20 12 23 36 20 12 14 28 28 28 14 20 21 20 12 23 36 20 12
559 14 14 12 23 14 23 12 12 10 23 14 21 23 23 12 14 23 10 20 12 14 23 0]xS
560 75 732 M (fly-by-wire controls\227the importance of minimizing the)[13 10 21 14 23 21 14 29 10 14 23 21 21 23 23 12 14 23 10 20 42 12 23 23 21 10 36 23 23 14 12 23
561 23 21 23 22 23 13 22 36 10 23 10 36 10 21 10 23 23 22 12 23 0]xS
562 75 780 M (probability of intermittent defective behavior is clear.)[23 14 23 23 23 23 10 10 10 12 21 12 23 13 12 10 23 12 23 14 36 10 12 12 23 23 12 12 23 23 13 23
563 21 12 10 23 23 12 23 23 23 23 23 10 23 14 12 10 20 12 21 10 23 23 14 0]xS
564 75 878 M (The interrupt latency compatibility problem is difficult to)[26 23 23 15 10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 15 21 23 36 23 23 12 10 23 10 10
565 10 12 21 15 23 14 23 23 10 23 36 15 10 20 15 23 10 13 13 10 21 23 10 12 15 12 0]xS
566 75 926 M (solve, and has defied an analytical solution by the)[20 23 10 23 23 12 27 23 23 23 27 23 23 20 27 23 23 13 10 23 23 28 23 23 28 23 23 23 10 21 12 10
567 21 23 10 28 20 23 10 23 12 10 23 23 28 23 21 28 12 23 0]xS
568 75 974 M (mathematical and computer science community for)[36 23 12 23 23 36 23 12 10 21 23 10 31 23 23 23 31 21 23 36 23 23 12 23 14 32 20 21 10 23 23 21
569 23 32 21 23 36 36 23 23 10 12 21 32 13 23 0]xS
570 75 1022 M (more than 25 years)[36 23 14 23 18 12 23 23 23 18 23 23 18 21 23 23 14 0]xS
571 /F0S1B F0 [27 0 0 -27 0 0 ] mFS
572 F0S1B Ji
573 453 1001 M (1)S
574 F0S2A Ji
575 468 1022 M (. We believe that the reason this)[12 18 18 42 23 18 23 23 10 10 23 23 23 18 12 23 23 12 18 12 23 23 18 14 23 23 20 23 23 18 12 23
576 10 0]xS
577 75 1070 M (problem has defied solution is that it combines both)[23 14 23 23 10 23 36 23 23 23 20 24 23 23 13 10 23 23 24 20 23 10 23 12 10 23 23 24 10 20 24 12
578 23 23 12 24 10 12 24 21 23 36 23 10 23 23 20 24 23 23 12 0]xS
579 75 1118 M (discrete and continuous elements, and a mathematical)[23 10 20 21 14 23 12 23 18 23 23 23 18 21 23 23 12 10 23 23 23 23 20 18 23 10 23 36 23 23 12 20
580 12 18 23 23 23 18 23 18 36 23 12 23 23 36 23 12 10 21 23 0]xS
581 75 1166 M (framework in which this problem can be embedded)[13 14 23 36 23 29 23 14 21 26 10 23 27 29 23 10 21 23 27 12 23 10 20 27 23 14 23 23 10 23 36 27
582 21 23 23 27 23 23 27 23 36 23 23 23 23 23 0]xS
583 75 1214 M (\(hybrid systems\) is a relatively recent development.)[14 23 21 23 14 10 23 12 20 21 20 12 23 36 20 14 12 10 20 12 23 12 14 23 10 23 12 10 23 23 10 21
584 12 14 23 21 23 23 12 12 23 23 23 23 10 23 23 36 23 23 12 0]xS
585 75 1312 M (To analytically verify that interrupt latency requirements)[26 23 14 23 23 23 10 21 12 10 21 23 10 10 21 15 23 23 14 10 13 21 15 12 23 23 12 15 10 23 12 23
586 14 14 23 23 12 15 10 23 12 23 23 21 21 15 14 23 23 23 10 14 23 36 23 23 12 0]xS
587 75 1360 M (can )[21 23 23 0]xS
588 F2S2A Ji
589 158 1360 M (never)[23 23 21 23 0]xS
590 F0S2A Ji
591 262 1360 M ( be violated, it must be verified that they will)[16 23 23 17 23 10 23 10 23 12 23 23 12 17 10 12 17 36 23 20 12 17 23 23 17 23 23 14 10 13 10 23
592 23 17 12 23 23 12 17 12 23 23 21 17 29 10 10 0]xS
593 75 1409 M (never be violated in )[23 23 23 23 14 22 23 23 22 23 10 23 10 23 12 23 23 22 10 23 0]xS
594 F2S2A Ji
595 495 1409 M (any)[23 23 0]xS
596 F0S2A Ji
597 562 1409 M ( possible run of the system.)[22 23 23 20 20 10 23 10 23 22 14 23 23 23 23 13 23 12 23 23 23 20 21 20 12 23 36 0]xS
598 75 1458 M (The complexity of practical systems makes it impossible)[26 23 23 12 21 23 36 23 10 23 22 10 12 21 12 23 13 13 23 14 23 21 12 10 21 23 10 13 20 21 20 12
599 23 36 20 13 36 23 21 23 20 13 10 12 13 10 36 23 23 20 20 10 23 10 0]xS
600 75 1506 M (to exhaustively search all possible runs of the system.)[12 23 18 23 22 23 23 23 20 12 10 23 23 10 21 18 20 23 23 14 21 23 18 23 10 10 18 23 23 20 20 10
601 23 10 23 18 14 23 23 20 18 23 13 18 12 23 23 19 20 21 20 12 23 36 0]xS
602 75 1554 M (For the same reason, testing or simulation results can)[26 23 14 18 12 23 23 18 20 23 36 23 19 14 23 23 20 23 23 12 19 12 23 20 12 10 23 23 19 23 14 19
603 20 10 36 23 10 23 12 10 23 23 19 14 23 20 23 10 12 20 19 21 23 0]xS
604 75 1602 M (never be conclusive.)[23 23 23 23 14 12 23 23 12 21 23 23 21 10 23 20 10 23 23 0]xS
605 75 1700 M (In the view of the authors, the only practical way to)[12 23 22 12 23 23 22 23 10 23 29 23 23 13 23 12 23 23 23 23 23 12 23 23 14 20 12 23 12 23 23 23
606 23 23 10 21 23 23 14 23 21 12 10 21 23 10 23 29 23 21 23 12 0]xS
607 75 1748 M (solve the interrupt latency compatibility problem is by an)[20 23 10 23 23 12 12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23
608 23 12 10 23 10 10 10 12 21 13 23 14 23 23 10 23 36 13 10 20 13 23 21 13 23 0]xS
609 75 1796 M (intelligent )[10 23 12 23 10 10 10 23 23 23 12 0]xS
610 F2S2A Ji
611 286 1796 M (analytical)[23 23 23 9 21 12 9 21 23 0]xS
612 F0S2A Ji
613 459 1796 M ( approach that will consider all)[32 23 23 23 14 23 23 21 23 33 12 23 23 12 33 29 10 10 10 33 21 23 23 20 10 23 23 14 33 23 10 0]xS
614 75 1845 M (possible runs of the system without an exhaustive)[23 23 20 20 10 23 10 23 30 14 23 23 20 30 23 13 30 12 23 23 30 20 21 20 12 23 36 30 29 10 12 23
615 23 23 12 31 23 23 31 23 22 23 23 23 20 12 10 23 0]xS
616 75 1893 M (search. We believe that such an approach exists using)[20 23 23 14 21 23 12 14 14 42 23 14 23 23 10 10 23 23 23 15 12 23 23 12 15 20 23 21 23 15 23 23
617 15 23 23 23 14 23 23 21 23 15 23 22 10 20 12 20 15 23 20 10 23 0]xS
618 75 1941 M (a theory that we have developed recently for a class of)[23 15 12 23 23 23 14 21 15 12 23 23 12 15 29 23 15 23 23 23 23 15 23 23 23 23 10 23 23 23 23 15
619 14 23 21 23 23 12 10 21 15 13 23 14 16 23 16 21 10 23 20 20 16 23 0]xS
620 75 1989 M (so-called )[20 23 14 21 23 10 10 23 23 0]xS
621 F2S2A Ji
622 254 1989 M (hybrid systems)[23 21 23 14 9 23 12 21 21 21 12 23 35 0]xS
623 F0S2A Ji
624 533 1989 M (.)S
625 F2S2A Ji
626 75 2088 M (Hybrid)[30 21 23 14 9 0]xS
627 F0S2A Ji
628 195 2088 M ( is used to classify a system consisting of both)[20 10 20 20 23 20 23 23 20 12 23 20 21 10 23 20 20 10 13 21 20 23 20 20 21 20 12 23 36 20 21 23
629 23 20 10 20 12 10 23 23 20 23 13 21 23 23 12 0]xS
630 75 2137 M (continuous dynamics and discrete events. In our)[21 23 23 12 10 23 23 23 23 20 32 23 21 23 23 36 10 21 20 32 23 23 23 32 23 10 20 21 14 23 12 23
631 32 23 23 23 23 12 20 12 32 33 12 23 33 23 23 0]xS
632 75 2185 M (context, continuous dynamics describe essential)[21 23 23 12 23 22 12 12 50 21 23 23 12 10 23 23 23 23 20 51 23 21 23 23 36 10 21 20 51 23 23 20
633 21 14 10 23 23 51 23 20 20 23 23 12 10 23 0]xS
634 75 2233 M (continuous elements of the system such as the passage)[21 23 23 12 10 23 23 23 23 20 13 23 10 23 36 23 23 12 20 13 23 13 14 12 23 23 14 20 21 20 12 23
635 36 14 20 23 21 23 14 23 20 14 12 23 23 14 23 23 20 20 23 23 0]xS
636 75 2281 M (of time, while discrete events describe events such as)[23 13 18 12 10 36 23 12 18 29 23 10 10 23 18 23 10 20 21 14 23 12 23 18 23 23 23 23 12 20 18 23
637 23 20 21 14 10 23 23 18 23 23 23 23 12 20 18 20 23 21 23 19 23 0]xS
638 75 2329 M (the assertion of an interrupt or a discrete state change in)[12 23 23 12 23 20 20 23 14 12 10 23 23 12 23 13 12 23 23 12 10 23 12 23 14 14 23 23 12 12 23 14
639 12 23 12 23 10 20 21 14 23 12 23 13 20 12 23 12 23 13 21 23 23 23 23 23 13 10 0]xS
640 75 2377 M (digital hardware. Both continuous dynamics and)[23 10 23 10 12 23 10 37 23 23 14 23 29 23 14 23 12 37 37 28 23 12 23 37 21 23 23 12 10 23 23 23
641 23 20 37 23 21 23 23 36 10 21 20 37 23 23 0]xS
642 75 2425 M (discrete events are needed in describing or modeling)[23 10 20 21 14 23 12 23 21 23 23 23 23 12 20 21 23 14 23 21 23 23 23 23 23 23 22 10 23 22 23 23
643 20 21 14 10 23 10 23 23 22 23 14 22 36 23 23 23 10 10 23 0]xS
644 75 2473 M (the interrupt latency compatibility problem.)[12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23 23 12 10 23 10 10
645 10 12 21 12 23 14 23 23 10 23 36 0]xS
646 75 2571 M (To implement our solution, we model each IS by an)[26 23 22 10 36 23 10 23 36 23 23 12 22 23 23 14 22 20 23 10 23 12 10 23 23 12 22 29 23 22 36 23
647 23 23 10 23 23 23 21 23 23 12 28 23 23 21 23 23 0]xS
648 75 2619 M (elementary hybrid machine \()[23 10 23 36 23 23 12 23 14 21 15 23 21 23 14 10 23 15 36 23 21 23 10 23 23 15 0]xS
649 F2S2A Ji
650 615 2619 M (EHM)[28 30 0]xS
651 F0S2A Ji
652 708 2619 M (\). An EHM consists of)[14 12 15 28 23 15 28 30 35 16 21 23 23 20 10 20 12 20 16 23 0]xS
653 75 2668 M (several configurations that describe the status of the IS,)[20 23 23 23 14 23 10 14 21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 12 23 23 12 14 23 23 20 21
654 14 10 23 23 14 12 23 23 14 20 12 23 12 23 20 14 23 13 14 12 23 23 14 12 28 0]xS
655 75 2716 M (such as )[20 23 21 23 21 23 20 0]xS
656 F2S2A Ji
657 247 2716 M (Interrupt Not Pending)[11 23 12 23 14 14 23 23 12 21 30 23 12 21 28 23 23 23 9 23 0]xS
658 F0S2A Ji
659 661 2716 M (, )[12 0]xS
660 F2S2A Ji
661 694 2716 M (Interrupt Pending)[11 23 12 23 14 14 23 23 12 22 28 23 23 23 9 23 0]xS
662 F0S2A Ji
663 1023 2716 M (, etc.)[12 22 23 12 21 0]xS
664 75 2765 M (\(Figure )[14 26 10 23 23 14 23 0]xS
665 241 2765 M (3)S
666 264 2765 M (\). Transitions from one configuration to)[14 12 33 33 26 14 23 23 20 10 12 10 23 23 20 33 13 14 23 36 33 23 23 23 34 21 23 23 13 10 23 23
667 14 23 12 10 23 23 34 12 0]xS
668 75 2813 M (another are also specified. We also model the software)[23 23 23 12 23 23 14 13 23 14 23 13 23 10 20 23 14 20 23 23 21 10 13 10 23 23 12 14 14 42 23 14
669 23 10 20 23 14 36 23 23 23 10 14 12 23 23 14 20 23 13 12 29 23 14 0]xS
670 75 2861 M (system \()[20 21 20 12 23 36 20 0]xS
671 F2S2A Ji
672 241 2861 M (SS)[28 0]xS
673 F0S2A Ji
674 297 2861 M (\) as an EHM to reflect that generally only)[14 20 23 20 20 23 23 20 28 30 35 20 12 23 21 14 23 13 10 23 21 12 21 12 23 23 12 21 23 23 23 23
675 14 23 10 10 21 21 23 23 10 0]xS
676 75 2910 M (one ISR may run at a time, and to capture the)[23 23 23 31 12 28 30 32 36 23 21 32 14 23 23 32 23 12 32 23 32 12 10 36 23 12 32 23 23 23 32 12
677 23 32 21 23 23 12 23 14 23 32 12 23 0]xS
678 75 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
679 435 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
680 Pscript_WinNT_Incr begin
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686 1 d/PaintProc{` 1 Lw[]0 sd PaintData , exec E}b/FGnd null d/BGnd null d
687 /HS_Horizontal{horiz}b/HS_Vertical{vert}b/HS_FDiagonal{fdiag}b/HS_BDiagonal
688 {biag}b/HS_Cross{horiz vert}b/HS_DiagCross{fdiag biag}b/MaxXYStep XStep YStep
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690 /vert{Reps{4 0 M 0 YStep - 8 0 +}repeat 0 -8 Reps mul + K}b/biag{Reps{0 0 M
691 MaxXYStep @ - 0 YStep neg M MaxXYStep @ - 0 8 +}repeat 0 -8 Reps mul + 0 YStep
692 M 8 8 - K}b/fdiag{Reps{0 0 M MaxXYStep @ neg - 0 YStep M MaxXYStep @ neg - 0 8
693 +}repeat 0 -8 Reps mul + MaxXYStep @ M 8 -8 - K}b E/makehatch{4 -2 $/yOrg ~ d
694 /xOrg ~ d GDIHPatternDict/PaintData 3 -1 $ put CTMsave GDIHMatrix setmatrix
695 GDIHPatternDict matrix xOrg yOrg + mp CTMrestore ~ U ~ 2 ^ put}b/h0{/h0
696 /HS_Horizontal makehatch}b/h1{/h1/HS_Vertical makehatch}b/h2{/h2/HS_FDiagonal
697 makehatch}b/h3{/h3/HS_BDiagonal makehatch}b/h4{/h4/HS_Cross makehatch}b/h5{/h5
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701 0]d E build_pattern ~ !}b/pfbf{/fEOFill ~ d pfprep hbf fEOFill{O}{L}? restore}b
702 /GraphInit{GDIHMatrix null eq{/SavedCTM matrix d : ADO_mxRot concat 0 0 snap +
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711 /Width 8 d/mx[Width 0 0 Height neg 0 Height]d/FGnd null d/BGnd null d
712 /SetBGndFGnd{BGnd null ne{BGnd aload ! scol BBox aload ! 2 ^ sub ~ 3 ^ sub ~
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726 ? ;}b/mask_pbf{:/fEOFill ~ d 20 dict `/yOrg ~ d/xOrg ~ d/PaintData ~ d/Height ~
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728 d/XStep Width d/YStep Height d/mx xOrg yOrg matrix + d/PaintProc{` Width Height
729 T[1 0 0 1 0 0]{PaintData}imagemask E}b & mx makepattern setpattern E fEOFill{O}
730 {L}? ;}b
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732 end reinitialize
733 : N 75 2953 600 2 rp C
734 L ; F0S1B Ji
735 75 2991 M (1)S
736 F0S2A Ji
737 90 3012 M ( We believe that computer processors relying on)[12 42 23 12 23 23 10 10 23 23 23 12 12 23 23 12 12 21 23 36 23 23 12 23 14 12 23 14 23 21 23 20
738 20 23 14 20 12 14 23 10 21 10 23 23 12 23 0]xS
739 75 3060 M (hardware interrupts were common no later than 1972.)[23 23 14 23 29 23 14 23 12 10 23 12 23 14 14 23 23 12 20 12 29 23 14 23 12 21 23 36 36 23 23 12
740 23 23 12 10 23 12 23 14 12 12 23 23 23 12 23 23 23 23 0]xS
741 1275 156 M (interaction between the ISRs and the ISs \(Figure )[10 23 12 23 14 23 21 12 10 23 23 22 23 23 12 29 23 23 23 23 12 23 23 23 12 28 30 20 23 23 23 23
742 23 12 23 23 23 12 28 20 23 14 26 10 23 23 14 23 0]xS
743 2276 156 M (2)S
744 2299 156 M (\).)[14 0]xS
745 1275 204 M (Then, a well-defined parallel composition of all EHMs)[26 23 23 23 12 20 23 20 29 23 10 10 14 23 23 13 10 23 23 23 20 23 23 14 23 10 10 23 10 21 21 23
746 36 23 23 20 10 12 10 23 23 21 23 13 21 23 10 10 21 28 30 35 0]xS
747 1275 252 M (can be used to describe the concurrent operation of)[21 23 23 23 23 23 24 23 20 23 23 24 12 23 24 23 23 20 21 14 10 23 23 24 12 23 23 24 21 23 23 21
748 23 14 14 23 23 12 24 23 23 23 14 23 12 10 23 23 24 23 0]xS
749 1275 300 M (several ISs and ISRs, resulting in a composite hybrid)[20 23 23 23 14 23 10 20 12 28 20 20 23 23 23 20 12 28 30 20 12 20 14 23 20 23 10 12 10 23 23 21
750 10 23 21 23 21 21 23 36 23 23 20 10 12 23 21 23 21 23 14 10 0]xS
751 1275 348 M (machine \()[36 23 21 23 10 23 23 12 0]xS
752 F2S2A Ji
753 1460 348 M (CHM)[30 30 0]xS
754 F0S2A Ji
755 1555 348 M (\).)[14 0]xS
756 1275 447 M (After obtaining a CHM model of the overall system,)[28 13 12 23 14 24 23 23 12 23 10 23 10 23 23 24 23 24 30 30 35 24 36 23 23 23 10 24 23 13 24 12
757 23 23 24 23 23 23 14 23 10 10 25 20 21 20 12 23 36 0]xS
758 1275 495 M (violation of interrupt latency requirements can now be)[23 10 23 10 23 12 10 23 23 19 23 13 19 10 23 12 23 14 14 23 23 12 20 10 23 12 23 23 21 21 20 14
759 23 23 23 10 14 23 36 23 23 12 20 20 21 23 23 20 23 23 29 20 23 0]xS
760 1275 543 M (specified by identifying all illegal configurations.)[20 23 23 21 10 13 10 23 23 44 23 21 45 10 23 23 23 12 10 13 21 10 23 23 45 23 10 10 45 10 10 10
761 23 23 23 10 45 21 23 23 13 10 23 23 14 23 12 10 23 23 20 0]xS
762 1275 591 M (Therefore, the question of whether interrupt latency)[26 23 23 14 23 13 23 14 23 12 28 12 23 23 28 23 23 23 20 12 10 23 23 28 23 13 29 29 23 23 12 23
763 23 14 29 10 23 12 23 14 14 23 23 12 29 10 23 12 23 23 21 0]xS
764 1275 639 M (requirements can be violated is equivalent to the)[14 23 23 23 10 14 23 36 23 23 12 20 32 21 23 23 33 23 23 33 23 10 23 10 23 12 23 23 33 10 20 33
765 23 23 23 10 23 23 10 23 23 12 33 12 23 33 12 23 0]xS
766 1275 687 M (question of whether any of the illegal CHM)[23 23 23 20 12 10 23 23 49 23 13 49 29 23 23 12 23 23 14 49 23 23 21 49 23 13 49 12 23 23 50 10
767 10 10 23 23 23 10 50 30 30 0]xS
768 1275 735 M (configurations can be reached from the initial)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 47 21 23 23 47 23 23 47 14 23 23 21 23 23 23 47 13 14
769 23 36 48 12 23 23 48 10 23 10 12 10 23 0]xS
770 1275 783 M (configuration. Verification is now reduced to reachability)[21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 12 28 23 14 10 13 10 21 23 12 10 23 23 12 10 20 12
771 23 23 29 12 14 23 23 23 21 23 23 12 12 23 12 14 23 23 21 23 23 23 10 10 10 12 0]xS
772 1275 831 M (analysis.)[23 23 23 10 21 20 10 20 0]xS
773 1275 929 M (Reachability analysis of hybrid systems is a difficult)[30 23 23 21 23 23 23 10 10 10 12 21 25 23 23 23 10 21 20 10 20 26 23 13 26 23 21 23 14 10 23 26
774 20 21 20 12 23 36 20 26 10 20 26 23 26 23 10 13 13 10 21 23 10 0]xS
775 1275 977 M (problem. In this paper, we develop an efficient)[23 14 23 23 10 23 36 12 34 34 12 23 34 12 23 10 20 34 23 23 23 23 14 12 34 29 23 34 23 23 23 23
776 10 23 23 35 23 23 35 23 13 13 10 21 10 23 23 0]xS
777 1275 1025 M (algorithm to determine reachability for a class of hybrid)[23 10 23 23 14 10 12 23 36 15 12 23 15 23 23 12 23 14 36 10 23 23 15 14 23 23 21 23 23 23 10 10
778 10 12 21 15 13 23 14 16 23 16 21 10 23 20 20 16 23 13 16 23 21 23 14 10 0]xS
779 1275 1073 M (systems encountered in the interrupt latency)[20 21 20 12 23 36 20 57 23 23 21 23 23 23 12 23 14 23 23 58 10 23 58 12 23 23 58 10 23 12 23 14
780 14 23 23 12 58 10 23 12 23 23 21 0]xS
781 1275 1121 M (compatibility problem. Our algorithm uses a )[21 23 36 23 23 12 10 23 10 10 10 12 21 30 23 14 23 23 10 23 36 12 30 33 23 14 30 23 10 23 23 14
782 10 12 23 36 30 23 20 23 20 31 23 0]xS
783 F2S2A Ji
784 2208 1121 M (logical)[9 23 23 9 21 23 0]xS
785 F0S2A Ji
786 1275 1170 M (approach by manipulating logical conditions involving)[23 23 23 14 23 23 21 23 23 23 21 23 36 23 23 10 23 23 10 23 12 10 23 23 24 10 23 23 10 21 23 10
787 24 21 23 23 23 10 12 10 23 23 20 24 10 23 23 23 10 23 10 23 0]xS
788 1275 1218 M (the timing of events. We find this logical approach to be)[12 23 23 12 12 10 36 10 23 23 12 23 13 12 23 23 23 23 12 20 12 12 12 42 23 12 13 10 23 23 12 12
789 23 10 20 12 10 23 23 10 21 23 10 12 23 23 23 14 23 23 21 23 12 12 23 13 23 0]xS
790 1275 1266 M (excellent in the specification and implementation of)[23 22 21 23 10 10 23 23 12 28 10 23 28 12 23 23 28 20 23 23 21 10 13 10 21 23 12 10 23 23 28 23
791 23 23 28 10 36 23 10 23 36 23 23 12 23 12 10 23 23 28 23 0]xS
792 1275 1314 M (reachability analysis.)[14 23 23 21 23 23 23 10 10 10 12 21 12 23 23 23 10 21 20 10 20 0]xS
793 1275 1412 M (Using our approach, a necessary and sufficient)[30 20 10 23 23 41 23 23 14 42 23 23 23 14 23 23 21 23 12 42 23 42 23 23 21 23 20 20 23 14 21 42
794 23 23 23 42 20 23 13 13 10 21 10 23 23 0]xS
795 1275 1460 M (condition for meeting the interrupt latency requirements)[21 23 23 23 10 12 10 23 23 15 13 23 14 15 36 23 23 12 10 23 23 15 12 23 23 16 10 23 12 23 14 14
796 23 23 12 16 10 23 12 23 23 21 21 16 14 23 23 23 10 14 23 36 23 23 12 0]xS
797 1275 1508 M (is obtained. The interrupt latency requirements can be)[10 20 16 23 23 12 23 10 23 23 23 12 16 16 26 23 23 16 10 23 12 23 14 14 23 23 12 17 10 23 12 23
798 23 21 21 17 14 23 23 23 10 14 23 36 23 23 12 20 17 21 23 23 17 23 0]xS
799 1275 1556 M (violated )[23 10 23 10 23 12 23 23 0]xS
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827 1441 1556 M (if and only if)[12 14 19 23 26 26 19 26 26 12 23 20 12 0]xS
828 F0S2A Ji
829 1713 1556 M ( some illegal configurations are)[20 20 23 36 23 20 10 10 10 23 23 23 10 20 21 23 23 13 10 23 23 14 23 12 10 23 23 20 20 23 14 0]xS
830 1275 1605 M (reachable from the initial configuration. Therefore,)[14 23 23 21 23 23 23 10 23 29 13 14 23 36 29 12 23 23 30 10 23 10 12 10 23 10 30 21 23 23 13 10
831 23 23 14 23 12 10 23 23 12 30 30 26 23 23 14 23 13 23 14 23 0]xS
832 1275 1653 M (there is no conservatism in our approach. This is)[12 23 23 14 23 27 10 20 27 23 23 27 21 23 23 20 23 14 23 23 12 10 20 36 27 10 23 27 23 23 14 27
833 23 23 23 14 23 23 21 23 12 27 27 26 23 10 20 28 10 0]xS
834 1275 1701 M (important because conservatism may add unnecessary)[10 36 23 23 14 12 23 23 12 17 23 23 21 23 23 20 23 17 21 23 23 20 23 14 23 23 12 10 20 36 17 36
835 23 21 18 23 23 23 18 23 23 23 23 21 23 20 20 23 14 0]xS
836 1275 1749 M (cost to a satisfactory system by misclassifying it as)[21 23 20 12 25 12 23 25 23 25 20 23 12 10 20 13 23 21 12 23 14 21 25 20 21 20 12 23 36 25 23 21
837 26 36 10 20 21 10 23 20 20 10 13 21 10 23 23 26 10 12 26 23 0]xS
838 1275 1797 M (capable of violating its interrupt latency requirements,)[21 23 23 23 23 10 23 21 23 13 21 23 10 23 10 23 12 10 23 23 21 10 12 20 21 10 23 12 23 14 14 23
839 23 12 21 10 23 12 23 23 21 21 21 14 23 23 23 10 14 23 36 23 23 12 20 0]xS
840 1275 1845 M (thus forcing unnecessary increases in product cost.)[12 23 23 20 12 13 23 14 21 10 23 23 12 23 23 23 23 21 23 20 20 23 14 21 12 10 23 21 14 23 23 20
841 23 20 12 10 23 12 23 14 23 23 23 21 12 12 21 23 20 12 0]xS
842 1275 1943 M (We are aware of several proposed approaches to the)[42 23 20 23 14 23 20 23 29 23 14 23 20 23 13 20 20 23 23 23 14 23 10 20 23 14 23 23 23 20 23 23
843 20 23 23 23 14 23 23 21 23 23 20 20 12 23 20 12 23 0]xS
844 1275 1991 M (interrupt latency compatibility problem which have)[10 23 12 23 14 14 23 23 12 35 10 23 12 23 23 21 21 36 21 23 36 23 23 12 10 23 10 10 10 12 21 36
845 23 14 23 23 10 23 36 36 29 23 10 21 23 36 23 23 23 0]xS
846 1275 2039 M (appeared in the literature dating back to at least the)[23 23 23 23 23 14 23 23 22 10 23 22 12 23 23 22 10 10 12 23 14 23 12 23 14 23 22 23 23 12 10 23
847 23 22 23 23 21 21 23 12 23 23 23 12 23 10 23 23 20 12 23 12 23 0]xS
848 1275 2087 M (early 1970s. Among the existing approaches, rate-)[23 23 14 10 21 26 23 23 23 23 20 12 26 27 28 36 23 23 23 27 12 23 23 27 23 22 10 20 12 10 23 23
849 27 23 23 23 14 23 23 21 23 23 20 12 27 14 23 12 23 0]xS
850 1275 2135 M (monotonic analysis \(RMA\) [)[36 23 23 23 12 23 23 10 21 19 23 23 23 10 21 20 10 20 19 14 30 35 28 14 19 0]xS
851 1809 2135 M (5)S
852 1832 2135 M (] is best-known and most)[12 20 10 20 20 23 23 20 12 14 21 23 23 29 23 20 23 23 23 20 36 23 20 0]xS
853 1275 2183 M (widely used. Although RMA is well-developed and has)[29 10 23 23 10 21 16 23 20 23 23 12 16 16 28 10 12 23 23 23 23 23 16 30 35 28 16 10 20 16 29 23
854 10 10 14 23 23 23 23 10 23 23 23 23 17 23 23 23 17 23 23 0]xS
855 1275 2231 M (been used extensively in practice, there are difficulties)[23 23 23 23 17 23 20 23 23 17 23 22 12 23 23 20 10 23 23 10 21 18 10 23 18 23 14 23 21 12 10 21
856 23 12 18 12 23 23 14 23 18 23 14 23 18 23 10 13 13 10 21 23 10 12 10 23 0]xS
857 1275 2279 M (in applying the mathematical results of RMA to the)[10 23 25 23 23 23 10 21 10 23 23 26 12 23 23 26 36 23 12 23 23 36 23 12 10 21 23 10 26 14 23 20
858 23 10 12 20 26 23 13 26 30 35 28 26 12 23 26 12 23 0]xS
859 1275 2327 M (interrupt latency compatibility problem. First, RMA can)[10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 16 21 23 36 23 23 12 10 23 10 10 10 12 21 16
860 23 14 23 23 10 23 36 12 16 16 26 10 14 20 12 12 16 30 35 28 16 21 23 0]xS
861 1275 2375 M (only be used for perfectly periodic \(i.e. rate-monotonic\))[23 23 10 21 16 23 23 16 23 20 23 23 16 13 23 14 17 23 23 14 13 23 21 12 10 21 17 23 23 14 10 23
862 23 10 21 17 14 10 12 23 12 17 14 23 12 23 14 36 23 23 23 12 23 23 10 21 0]xS
863 1275 2423 M (ISs. This is a serious limitation, as most interrupts in)[12 28 20 12 19 19 26 23 10 20 19 10 20 19 23 19 20 23 14 10 23 23 20 19 10 10 36 10 12 23 12 10
864 23 23 12 19 23 20 19 36 23 20 12 19 10 23 12 23 14 14 23 23 12 20 20 10 0]xS
865 1275 2471 M (automotive systems are not periodic. Second, RMA)[23 23 12 23 36 23 12 10 23 23 23 20 21 20 12 23 36 20 24 23 14 23 24 23 23 12 24 23 23 14 10 23
866 23 10 21 12 24 24 28 23 21 23 23 23 12 24 30 35 0]xS
867 1275 2519 M (gives only sufficient conditions for satisfying interrupt)[23 10 23 23 20 23 23 23 10 21 23 20 23 13 13 10 21 10 23 23 12 23 21 23 23 23 10 12 10 23 23 20
868 23 13 23 14 23 20 23 12 10 20 13 21 10 23 23 24 10 23 12 23 14 14 23 23 0]xS
869 1275 2567 M (latency requirements. Therefore, a satisfactory system)[10 23 12 23 23 21 21 16 14 23 23 23 10 14 23 36 23 23 12 20 12 16 17 26 23 23 14 23 13 23 14 23
870 12 17 23 17 20 23 12 10 20 13 23 21 12 23 14 21 17 20 21 20 12 23 0]xS
871 1275 2615 M (may be erroneously classified by RMA as able to violate)[36 23 21 12 23 23 13 23 14 14 23 23 23 23 23 20 10 21 13 21 10 23 20 20 10 13 10 23 23 13 23 21
872 13 30 35 28 13 23 20 13 23 23 10 23 13 12 23 13 23 10 23 10 23 12 0]xS
873 1275 2663 M (its interrupt latency requirements, provoking)[10 12 20 70 10 23 12 23 14 14 23 23 12 70 10 23 12 23 23 21 21 71 14 23 23 23 10 14 23 36 23 23
874 12 20 12 71 23 14 23 23 23 21 10 23 0]xS
875 1275 2711 M (unnecessary cost increases. Finally, RMA can be)[23 23 23 23 21 23 20 20 23 14 21 30 21 23 20 12 30 10 23 21 14 23 23 20 23 20 12 30 30 26 10 23
876 23 10 10 21 12 30 30 35 28 30 21 23 23 30 23 0]xS
877 1275 2759 M (applied only to fixed priority preemptive scheduling.)[23 23 23 10 10 23 23 12 23 23 10 21 12 12 23 12 13 10 22 23 23 12 23 14 10 23 14 10 12 21 12 23
878 14 23 23 36 23 12 10 23 23 12 20 21 23 23 23 23 10 10 23 23 0]xS
879 1275 2857 M (The approach we propose has additional advantages.)[26 23 23 21 23 23 23 14 23 23 21 23 21 29 23 22 23 14 23 23 23 20 23 22 23 23 20 22 23 23 23 10
880 12 10 23 23 23 10 22 23 23 23 23 23 12 23 23 23 20 0]xS
881 1275 2905 M (One advantage is the ability to model the discrete)[33 23 23 28 23 23 23 23 23 12 23 23 23 28 10 20 28 12 23 23 28 23 23 10 10 10 12 21 28 12 23 28
882 36 23 23 23 10 28 12 23 23 28 23 10 20 21 14 23 12 0]xS
883 1275 2953 M (behaviors of a system, which cannot be modeled or)[23 23 23 23 23 10 23 14 20 23 23 13 23 23 24 20 21 20 12 23 36 12 24 29 23 10 21 23 24 21 23 23
884 23 23 12 24 23 23 24 36 23 23 23 10 23 23 24 23 0]xS
885 1275 3001 M (analyzed using RMA or other approaches which rely on)[23 23 23 10 21 21 23 23 15 23 20 10 23 23 15 30 35 28 15 23 14 15 23 12 23 23 14 15 23 23 23 14
886 23 23 21 23 23 20 16 29 23 10 21 23 16 14 23 10 21 16 23 0]xS
887 1275 3049 M (continuous mathematics alone. We have found that we)[21 23 23 12 10 23 23 23 23 20 14 36 23 12 23 23 36 23 12 10 21 20 14 23 10 23 23 23 12 14 14 42
888 23 14 23 23 23 23 14 13 23 23 23 23 14 12 23 23 12 14 29 0]xS
889 LH
890 (%%[Page: 2]%%) =
891 %%PageTrailer
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893 %%Page: 3 3
894 %%PageBoundingBox: 18 8 593 784
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896 %%BeginPageSetup
897 /DeviceRGB dup setcolorspace /colspABC exch def
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900
901 0 0 0 1 scol 1185 3158 M (3)S
902 75 156 M (can use our approach to model ISRs which vary their)[21 23 23 19 23 20 23 19 23 23 14 19 23 23 23 14 23 23 21 23 19 12 23 19 36 23 23 23 10 20 12 28
903 30 20 20 29 23 10 21 23 20 23 23 14 21 20 12 23 23 10 0]xS
904 75 204 M (execution time in cyclical patterns \(typical of ISRs)[23 22 23 21 23 12 10 23 23 29 12 10 36 23 30 10 23 30 21 21 21 10 10 21 23 10 30 23 23 12 12 23
905 14 23 20 30 14 12 21 23 10 21 23 10 30 23 13 30 12 28 30 0]xS
906 75 252 M (associated with periodic ISs\). We are also able to)[23 20 20 23 21 10 23 12 23 23 25 29 10 12 23 25 23 23 14 10 23 23 10 21 25 12 28 20 14 12 25 26
907 42 23 26 23 14 23 26 23 10 20 23 26 23 23 10 23 26 12 0]xS
908 75 300 M (model queued communication peripherals and the)[36 23 23 23 10 36 23 23 23 23 23 23 36 21 23 36 36 23 23 10 21 23 12 10 23 23 36 23 23 14 10 23
909 23 23 14 23 10 20 36 23 23 23 36 12 23 0]xS
910 75 348 M (associated ISRs, where the amount of ISR execution)[23 20 20 23 21 10 23 12 23 23 22 12 28 30 20 12 22 29 23 23 14 23 22 12 23 23 22 23 36 23 23 23
911 12 22 23 13 22 12 28 30 22 23 22 23 21 23 12 10 23 0]xS
912 75 396 M (time required to retrieve data from the peripheral may)[12 10 36 23 18 14 23 23 23 10 14 23 23 18 12 23 18 14 23 12 14 10 23 23 23 18 23 23 12 23 19 13
913 14 23 36 19 12 23 23 19 23 23 14 10 23 23 23 14 23 10 19 36 23 0]xS
914 75 444 M (increase with increasing interrupt latency. Finally, we)[10 23 21 14 23 23 20 23 20 29 10 12 23 20 10 23 21 14 23 23 20 10 23 23 20 10 23 12 23 14 14 23
915 23 12 20 10 23 12 23 23 21 21 12 21 21 26 10 23 23 10 10 21 12 21 29 0]xS
916 75 492 M (are able to model non-atomic ISRs \(ISRs that may be)[23 14 23 18 23 23 10 23 18 12 23 18 36 23 23 23 10 18 23 23 23 14 23 12 23 36 10 21 18 12 28 30
917 20 18 14 12 28 30 20 18 12 23 23 12 18 36 23 21 19 23 0]xS
918 75 540 M (interrupted\).)[10 23 12 23 14 14 23 23 12 23 23 14 0]xS
919 75 638 M (Since the parallel composition of EHMs and the)[28 10 23 21 23 35 12 23 23 36 23 23 14 23 10 10 23 10 36 21 23 36 23 23 20 10 12 10 23 23 36 23
920 13 36 28 30 35 20 36 23 23 23 36 12 23 0]xS
921 75 686 M (reachability analysis must in practice both be performed)[14 23 23 21 23 23 23 10 10 10 12 21 13 23 23 23 10 21 20 10 20 14 36 23 20 12 14 10 23 14 23 14
922 23 21 12 10 21 23 14 23 23 12 23 14 23 23 14 23 23 14 13 23 14 36 23 0]xS
923 75 734 M (automatically by a computer, we offer some insight into)[23 23 12 23 36 23 12 10 21 23 10 10 21 15 23 21 15 23 15 21 23 36 23 23 12 23 14 12 15 29 23 15
924 23 13 13 23 14 15 20 23 36 23 15 10 23 20 10 23 23 12 15 10 23 12 0]xS
925 75 782 M (the construction and availability of software tools to)[12 23 23 26 21 23 23 20 12 14 23 21 12 10 23 23 26 23 23 23 26 23 23 23 10 10 23 23 10 10 10 12
926 21 26 23 13 26 20 23 13 12 29 23 14 23 27 12 23 23 10 20 27 12 0]xS
927 75 830 M (perform these tasks.)[23 23 14 13 23 14 36 12 12 23 23 20 23 12 12 23 20 21 20 0]xS
928 F1S2A Ji
929 75 1027 M (MATHEMATICS OF HYBRID MACHINES)[35 29 27 30 28 35 29 27 12 30 28 12 33 26 12 30 28 30 30 12 30 12 35 29 30 30 12 30 28 0]xS
930 F0S2A Ji
931 75 1126 M (In this section, we present the hybrid machine model)[12 23 21 12 23 10 20 21 20 23 21 12 10 23 23 12 21 29 23 21 23 14 23 20 23 23 12 21 12 23 23 21
932 23 21 23 14 10 23 22 36 23 21 23 10 23 23 22 36 23 23 23 0]xS
933 75 1174 M (developed in [)[23 23 23 23 10 23 23 23 23 37 10 23 38 0]xS
934 389 1174 M (6)S
935 412 1174 M (] to specify the interrupt latency)[12 38 12 23 38 20 23 23 21 10 13 21 38 12 23 23 38 10 23 12 23 14 14 23 23 12 38 10 23 12 23 23
936 21 0]xS
937 75 1222 M (compatibility problem. Using this model, each process)[21 23 36 23 23 12 10 23 10 10 10 12 21 17 23 14 23 23 10 23 36 12 17 17 30 20 10 23 23 17 12 23
938 10 20 17 36 23 23 23 10 12 17 23 23 21 23 18 23 14 23 21 23 20 0]xS
939 75 1270 M (\(e.g., each SS or IS\) is modeled by an elementary)[14 23 12 23 12 12 25 23 23 21 23 25 28 28 25 23 14 25 12 28 14 25 10 20 25 36 23 23 23 10 23 23
940 26 23 21 26 23 23 26 23 10 23 36 23 23 12 23 14 0]xS
941 75 1318 M (hybrid machine denoted by)[23 21 23 14 10 23 12 36 23 21 23 10 23 23 12 23 23 23 23 12 23 23 12 23 0]xS
942 225 1419 M (EHM = \(Q,)[28 30 35 12 25 12 14 33 0]xS
943
944 %%IncludeResource: font Symbol
945 F /F4 0 /2 F /Symbol mF
946 /F4S2A F4 [42 0 0 -42 0 0 ] mFS
947 F4S2A Ji
948 426 1419 M (S)S
949 F0S2A Ji
950 452 1419 M (, D, I, E, \(q)[12 12 30 12 12 12 12 12 28 12 12 14 0]xS
951 F0S1B Ji
952 655 1425 M (0)S
953 F0S2A Ji
954 670 1419 M (, x)[12 12 0]xS
955 F0S1B Ji
956 716 1425 M (0)S
957 F0S2A Ji
958 731 1419 M (\)\).)[14 14 0]xS
959 75 1517 M (The elements of an EHM are)[26 23 23 12 23 10 23 36 23 23 12 20 12 23 13 12 23 23 12 28 30 35 12 23 14 0]xS
960 75 1615 M (1.)[23 0]xS
961 150 1615 M (Q, a finite set of vertices.)[33 12 12 23 12 13 10 23 10 12 23 12 20 23 12 12 23 13 12 23 23 14 12 10 21 23 20 0]xS
962 75 1716 M (2.)[23 0]xS
963 F4S2A Ji
964 150 1716 M (S)S
965 F0S2A Ji
966 176 1716 M (, a finite set of event labels. An event is an input)[12 16 23 16 13 10 23 10 12 23 17 20 23 12 17 23 13 17 23 23 23 23 12 17 10 23 23 23 10 20 12 17
967 28 23 17 23 23 23 23 12 17 10 20 17 23 23 17 10 23 23 23 0]xS
968 150 1767 M (event, denoted by )[23 23 23 23 12 12 12 23 23 23 23 12 23 23 12 23 21 0]xS
969 F4S2A Ji
970 496 1767 M (s)S
971 F0S2A Ji
972 521 1767 M ( \(underscore\), if it is received by)[13 14 23 23 23 23 14 20 21 23 14 23 14 12 13 10 13 13 10 12 13 10 20 13 14 23 21 23 10 23 23 23
973 13 23 0]xS
974 : N 496 1772 24 2 rp C
975 L ; 150 1815 M (the EHM from its environment; and an output event,)[12 23 23 13 28 30 35 13 13 14 23 36 13 10 12 20 13 23 23 23 10 14 23 23 36 23 23 12 12 13 23 23
976 23 13 23 23 13 23 23 12 23 23 12 13 23 23 23 23 12 0]xS
977 150 1866 M (denoted by )[23 23 23 23 12 23 23 21 23 21 0]xS
978 F4S2A Ji
979 386 1866 M (s)S
980 F0S2A Ji
981 411 1866 M (, if it is generated by the EHM and)[12 22 10 13 22 10 12 22 10 20 22 23 23 23 23 14 23 12 23 23 22 23 21 22 12 23 23 22 28 30 35 22
982 23 23 0]xS
983 150 1914 M (transmitted to the environment.)[12 14 23 23 20 36 10 12 12 23 23 12 12 23 12 12 23 23 12 23 23 23 10 14 23 23 36 23 23 12 0]xS
984 F0S1B Ji
985 732 1893 M ( )S
986 740 1893 M (2)S
987 F0S2A Ji
988 75 2015 M (3.)[23 0]xS
989 150 2015 M (D = {d)[30 16 25 16 14 0]xS
990 F0S1B Ji
991 274 2021 M (q )[15 0]xS
992 F0S2A Ji
993 301 2015 M (= \(x)[25 16 14 0]xS
994 F0S1B Ji
995 378 2021 M (q)S
996 F0S2A Ji
997 393 2015 M (, y)[12 17 0]xS
998 F0S1B Ji
999 443 2021 M (q)S
1000 F0S2A Ji
1001 458 2015 M (, u)[12 17 0]xS
1002 F0S1B Ji
1003 510 2021 M (q)S
1004 F0S2A Ji
1005 525 2015 M (, f)[12 17 0]xS
1006 F0S1B Ji
1007 567 2021 M (q)S
1008 F0S2A Ji
1009 582 2015 M (, h)[12 17 0]xS
1010 F0S1B Ji
1011 634 2021 M (q)S
1012 F0S2A Ji
1013 649 2015 M (\): q)[14 12 17 0]xS
1014 F4S2A Ji
1015 715 2015 M <CE>S
1016 F0S2A Ji
1017 744 2015 M (Q}, the dynamics of)[33 14 12 17 12 23 23 17 23 21 23 23 36 10 21 20 17 23 0]xS
1018 150 2063 M (the EHM, where d)[12 23 23 14 28 30 35 12 14 29 23 23 14 23 14 0]xS
1019 F0S1B Ji
1020 490 2069 M (q)S
1021 F0S2A Ji
1022 505 2063 M (, the dynamics at the vertex q, is)[12 14 12 23 23 14 23 21 23 23 36 10 21 20 14 23 12 14 12 23 23 14 23 23 14 12 23 22 14 23 12 14
1023 10 0]xS
1024 150 2111 M (given by:)[23 10 23 23 23 12 23 21 0]xS
1025 225 2209 M (x')[22 0]xS
1026 F0S1B Ji
1027 255 2215 M (q )[15 0]xS
1028 F0S2A Ji
1029 278 2209 M (= f)[25 12 0]xS
1030 F0S1B Ji
1031 328 2215 M (q)S
1032 F0S2A Ji
1033 343 2209 M (\(x)[14 0]xS
1034 F0S1B Ji
1035 379 2215 M (q)S
1036 F0S2A Ji
1037 394 2209 M (, u)[12 12 0]xS
1038 F0S1B Ji
1039 441 2215 M (q)S
1040 F0S2A Ji
1041 456 2209 M (\),)[14 0]xS
1042 225 2307 M (y)S
1043 F0S1B Ji
1044 246 2313 M (q )[15 0]xS
1045 F0S2A Ji
1046 269 2307 M (= h)[25 12 0]xS
1047 F0S1B Ji
1048 329 2313 M (q)S
1049 F0S2A Ji
1050 344 2307 M (\(x)[14 0]xS
1051 F0S1B Ji
1052 380 2313 M (q)S
1053 F0S2A Ji
1054 395 2307 M (, u)[12 12 0]xS
1055 F0S1B Ji
1056 442 2313 M (q)S
1057 F0S2A Ji
1058 457 2307 M (\),)[14 0]xS
1059 150 2405 M (with x)[29 10 12 23 13 0]xS
1060 F0S1B Ji
1061 259 2411 M (q)S
1062 F0S2A Ji
1063 274 2405 M (, u)[12 13 0]xS
1064 F0S1B Ji
1065 322 2411 M (q)S
1066 F0S2A Ji
1067 337 2405 M (, and y)[12 13 23 23 23 13 0]xS
1068 F0S1B Ji
1069 465 2411 M (q)S
1070 F0S2A Ji
1071 480 2405 M (, respectively, the state, input, and)[12 13 14 23 20 23 23 21 12 10 23 23 10 21 12 13 12 23 23 13 20 12 23 12 23 12 13 10 23 23 23 12
1072 12 14 23 23 0]xS
1073 150 2453 M (output variables of appropriate dimensions. For the)[23 23 12 23 23 12 16 23 23 14 10 23 23 10 23 20 16 23 13 16 23 23 23 14 23 23 14 10 23 12 23 17
1074 23 10 36 23 23 20 10 23 23 20 12 17 26 23 14 17 12 23 0]xS
1075 150 2501 M (interrupt latency compatibility problem, we consider)[10 23 12 23 14 14 23 23 12 16 10 23 12 23 23 21 21 16 21 23 36 23 23 12 10 23 10 10 10 12 21 16
1076 23 14 23 23 10 23 36 12 16 29 23 17 21 23 23 20 10 23 23 0]xS
1077 150 2549 M (only x')[23 23 10 21 17 22 0]xS
1078 F0S1B Ji
1079 274 2555 M (q)S
1080 F0S2A Ji
1081 289 2549 M (=)S
1082 F2S2A Ji
1083 314 2549 M (constant)[21 23 23 21 12 23 23 0]xS
1084 /F2S1B F2 [27 0 0 -27 0 0 ] mFS
1085 F2S1B Ji
1086 472 2528 M (3)S
1087 F0S2A Ji
1088 487 2549 M ( and y)[17 23 23 23 17 0]xS
1089 F0S1B Ji
1090 611 2555 M (q)S
1091 F0S2A Ji
1092 626 2549 M (= x)[25 17 0]xS
1093 F0S1B Ji
1094 690 2555 M (q)S
1095 F0S2A Ji
1096 705 2549 M (. Therefore, we need)[12 17 17 26 23 23 14 23 13 23 14 23 12 18 29 23 18 23 23 23 0]xS
1097 150 2598 M (not distinguish the output and state variables. \(A)[23 23 12 20 23 10 20 12 10 23 23 23 10 20 23 20 12 23 23 20 23 23 12 23 23 12 20 23 23 23 21 20
1098 12 23 12 23 21 23 23 14 10 23 23 10 23 20 12 21 21 14 0]xS
1099 150 2646 M (vertex need not have dynamics associated with it,)[23 23 14 12 23 22 16 23 23 23 23 16 16 23 23 12 17 23 23 23 23 17 23 21 23 23 36 10 21 20 17 23
1100 20 20 23 21 10 23 12 23 23 17 29 10 12 23 17 10 12 0]xS
1101 150 2697 M (that is d)[12 23 23 12 18 10 20 18 0]xS
1102 F0S1B Ji
1103 309 2703 M (q )[15 0]xS
1104 F0S2A Ji
1105 338 2697 M (= )[25 0]xS
1106 F4S2A Ji
1107 381 2697 M <C6>S
1108 F0S2A Ji
1109 415 2697 M (, in which case we say the vertex is)[12 18 10 23 19 29 23 10 21 23 19 21 23 20 23 19 29 23 19 20 23 21 19 12 23 23 19 23 23 14 12 23
1110 22 19 10 0]xS
1111 150 2745 M (static.\))[20 12 23 12 10 21 12 0]xS
1112 75 2814 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1113 435 2814 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1114 : N 75 2803 600 2 rp C
1115 L ; F0S1B Ji
1116 75 2841 M (2)S
1117 F0S2A Ji
1118 90 2862 M ( The environment of an EHM includes all other EHMs,)[12 26 23 23 12 23 23 23 10 14 23 23 36 23 23 12 12 23 13 12 23 23 12 28 30 35 12 10 23 21 10 23
1119 23 23 20 12 23 10 10 12 23 12 23 23 14 12 28 30 35 20 0]xS
1120 75 2913 M (hence an event will be denoted )[23 23 23 21 23 12 23 23 12 23 23 23 23 12 12 29 10 10 10 12 23 23 12 23 23 23 23 12 23 23 0]xS
1121 F4S2A Ji
1122 665 2913 M (s)S
1123 F0S2A Ji
1124 690 2913 M ( in the generating EHM)[12 10 23 12 12 23 23 12 23 23 23 23 14 23 12 10 23 23 12 28 30 0]xS
1125 75 2964 M (and )[23 23 23 0]xS
1126 F4S2A Ji
1127 156 2964 M (s)S
1128 F0S2A Ji
1129 181 2964 M ( in the EHM which accepts this event as input.)[12 10 23 12 12 23 23 12 28 30 35 12 29 23 10 21 23 12 23 21 21 23 23 12 20 12 12 23 10 20 12 23
1130 23 23 23 12 12 23 20 12 10 23 23 23 12 0]xS
1131 : N 156 2969 24 2 rp C
1132 L ; F0S1B Ji
1133 75 2991 M (3)S
1134 F0S2A Ji
1135 90 3012 M ( For our models, this constant is usually 1 \(to allow a)[12 26 23 14 12 23 23 14 12 36 23 23 23 10 20 12 12 12 23 10 20 12 21 23 23 20 12 23 23 12 12 10
1136 20 12 23 20 23 23 10 10 21 12 23 12 14 12 23 12 23 10 10 23 29 12 0]xS
1137 75 3060 M (continuous variable to mimic elapsed time\).)[21 23 23 12 10 23 23 23 23 20 12 23 23 14 10 23 23 10 23 12 12 23 12 36 10 36 10 21 12 23 10 23
1138 23 20 23 23 12 12 10 36 23 14 0]xS
1139 1275 159 M (4.)[23 0]xS
1140 1350 159 M (I = {I)[12 22 25 22 14 0]xS
1141 F0S1B Ji
1142 1457 165 M (q )[15 0]xS
1143 F0S2A Ji
1144 1490 159 M (: q)[12 22 0]xS
1145 F4S2A Ji
1146 1547 159 M <CE>S
1147 F0S2A Ji
1148 1576 159 M (Q}, a set of invariants. I)[33 14 12 23 23 23 20 23 12 23 23 13 23 10 23 23 23 14 10 23 23 12 20 12 23 23 0]xS
1149 F0S1B Ji
1150 2092 165 M (q)S
1151 F0S2A Ji
1152 2107 159 M ( represents)[23 14 23 23 14 23 20 23 23 12 0]xS
1153 1350 207 M (conditions under which the EHM is permitted to)[21 23 23 23 10 12 10 23 23 20 26 23 23 23 23 14 26 29 23 10 21 23 26 12 23 23 26 28 30 35 26 10
1154 20 26 23 23 14 36 10 12 12 23 23 27 12 0]xS
1155 1350 255 M (reside at q. Formally, an invariant is a predicate)[14 23 20 10 23 23 20 23 12 20 23 12 20 20 26 23 14 36 23 10 10 21 12 21 23 23 21 10 23 23 23 14
1156 10 23 23 12 21 10 20 21 23 21 23 14 23 23 10 21 23 12 0]xS
1157 1350 303 M (which is defined as a Boolean combination of)[29 23 10 21 23 31 10 20 31 23 23 13 10 23 23 23 31 23 20 31 23 31 28 23 23 10 23 23 23 32 21 23
1158 36 23 10 23 23 12 10 23 23 32 23 0]xS
1159 1350 351 M (inequalities \(called atomic formulas\) of the form)[10 23 23 23 23 23 10 10 12 10 23 20 12 14 21 23 10 10 23 23 12 23 12 23 36 10 21 12 13 23 14 36
1160 23 10 23 20 14 12 23 13 12 12 23 23 12 13 23 14 0]xS
1161 1425 452 M (s)S
1162 F0S1B Ji
1163 1445 458 M (i)S
1164 F4S2A Ji
1165 1451 452 M <B3>S
1166 F0S2A Ji
1167 1474 452 M (C)S
1168 F0S1B Ji
1169 1504 458 M (i)S
1170 F0S2A Ji
1171 1510 452 M ( )S
1172 F2S2A Ji
1173 1522 452 M (or)[23 0]xS
1174 F0S2A Ji
1175 1559 452 M ( s)[12 0]xS
1176 F0S1B Ji
1177 1591 458 M (i)S
1178 F4S2A Ji
1179 1597 452 M <A3>S
1180 F0S2A Ji
1181 1620 452 M (C)S
1182 F0S1B Ji
1183 1650 458 M (i)S
1184 F0S2A Ji
1185 1656 452 M (,)S
1186 1350 551 M (where s)[29 23 23 14 23 13 0]xS
1187 F0S1B Ji
1188 1495 557 M (i)S
1189 F0S2A Ji
1190 1501 551 M ( is a shared continuous real variable \(or )[13 10 20 13 23 13 20 23 23 14 23 23 13 21 23 23 12 10 23 23 23 23 20 13 14 23 23 10 13 23 23 14
1191 10 23 23 10 23 14 14 23 14 0]xS
1192 F2S2A Ji
1193 2257 551 M (SV)[28 0]xS
1194 F0S2A Ji
1195 2313 551 M (,)S
1196 1350 600 M (to be defined soon\), and C)[12 23 12 23 23 12 23 23 13 10 23 23 23 12 20 23 23 23 14 12 12 23 23 23 12 0]xS
1197 F0S1B Ji
1198 1843 606 M (i)S
1199 F0S2A Ji
1200 1849 600 M ( is a real constant.)[12 10 20 12 23 12 14 23 23 10 12 21 23 23 20 12 23 23 12 0]xS
1201 1275 701 M (5.)[23 0]xS
1202 1350 701 M (E)S
1203 1378 701 M ( = {\(q,G)[14 25 14 14 14 23 12 0]xS
1204 F4S2A Ji
1205 1527 701 M <D9>S
1206 1553 701 M (s)S
1207 1578 701 M <AE>S
1208 1619 701 M (s)S
1209 F0S2A Ji
1210 1644 701 M (',q', x)[8 12 23 8 12 14 0]xS
1211 F0S1B Ji
1212 1743 707 M (q')[15 0]xS
1213 1763 680 M (0)S
1214 F0S2A Ji
1215 1778 701 M (\): q, q')[14 12 14 23 12 15 23 0]xS
1216 F4S2A Ji
1217 1899 701 M <CE>S
1218 F0S2A Ji
1219 1928 701 M (Q}, a set of edges or)[33 14 12 15 23 15 20 23 12 15 23 13 15 23 23 23 23 20 15 23 0]xS
1220 : N 1553 706 24 2 rp C
1221 L ; 1350 749 M (transitions, where q is the exited vertex, q' the)[12 14 23 23 20 10 12 10 23 23 20 12 27 29 23 23 14 23 27 23 27 10 20 27 12 23 23 27 23 22 10 12
1222 23 23 28 23 23 14 12 23 22 12 28 23 8 28 12 23 0]xS
1223 1350 800 M (entered vertex, )[23 23 12 23 14 23 23 26 23 23 14 12 23 22 12 0]xS
1224 F4S2A Ji
1225 1672 800 M (s)S
1226 F0S2A Ji
1227 1697 800 M ( the input event, )[26 12 23 23 26 10 23 23 23 12 26 23 23 23 23 12 12 0]xS
1228 F4S2A Ji
1229 2066 800 M (s)S
1230 F0S2A Ji
1231 2091 800 M (' the output)[8 26 12 23 23 26 23 23 12 23 23 0]xS
1232 : N 1672 805 24 2 rp C
1233 L ; 1350 848 M (event, G a predicate having the same form as)[23 23 23 23 12 12 27 33 27 23 27 23 14 23 23 10 21 23 12 23 27 23 23 23 10 23 23 27 12 23 23 27
1234 20 23 36 23 27 13 23 14 36 28 23 0]xS
1235 1350 896 M (invariants I)[10 23 23 23 14 10 23 23 12 20 20 0]xS
1236 F0S1B Ji
1237 1563 902 M (q)S
1238 F0S2A Ji
1239 1578 896 M (, and x)[12 20 23 23 23 20 0]xS
1240 F0S1B Ji
1241 1721 902 M (q')[15 0]xS
1242 1741 875 M (0)S
1243 1756 902 M ( )S
1244 F0S2A Ji
1245 1772 896 M (the initialization value for x)[12 23 23 20 10 23 10 12 10 23 10 10 21 23 12 10 23 23 20 23 23 10 23 23 20 13 23 14 21 0]xS
1246 F0S1B Ji
1247 2305 902 M (q')[15 0]xS
1248 F0S2A Ji
1249 1350 944 M (upon entry to q'. We allow the initialization to take)[23 23 23 23 17 23 23 12 14 21 17 12 23 18 23 8 12 18 42 23 18 23 10 10 23 29 18 12 23 23 18 10
1250 23 10 12 10 23 10 10 21 23 12 10 23 23 18 12 23 18 12 23 21 0]xS
1251 1350 992 M (on one of three forms.)[23 23 12 23 23 23 12 23 13 12 12 23 14 23 23 12 13 23 14 36 20 0]xS
1252 1350 1090 M (\(a\))[14 23 0]xS
1253 1425 1090 M (x)S
1254 F0S1B Ji
1255 1447 1096 M (q')[15 0]xS
1256 1467 1069 M (0)S
1257 F0S2A Ji
1258 1482 1090 M (=)S
1259 F2S2A Ji
1260 1507 1090 M (constant)[21 23 23 21 12 23 23 0]xS
1261 F0S2A Ji
1262 1665 1090 M (;)S
1263 1350 1189 M (\(b\))[14 23 0]xS
1264 1425 1189 M (x)S
1265 F0S1B Ji
1266 1447 1195 M (q')[15 0]xS
1267 1467 1168 M (0)S
1268 F0S2A Ji
1269 1482 1189 M (=g\(x)[25 23 14 0]xS
1270 F0S1B Ji
1271 1566 1195 M (q)S
1272 F0S2A Ji
1273 1581 1189 M (\), that is, x)[14 12 12 12 23 23 12 12 10 20 12 12 0]xS
1274 F0S1B Ji
1275 1777 1195 M (q')[15 0]xS
1276 1797 1168 M (0 )[15 0]xS
1277 F0S2A Ji
1278 1820 1189 M ( is a function of x)[12 10 20 12 23 12 13 23 23 21 12 10 23 23 12 23 13 12 0]xS
1279 F0S1B Ji
1280 2139 1195 M (q)S
1281 F0S2A Ji
1282 2154 1189 M (; or)[12 12 23 0]xS
1283 1350 1287 M (\(c\))[14 21 0]xS
1284 1425 1287 M (x)S
1285 F0S1B Ji
1286 1447 1293 M (q')[15 0]xS
1287 1467 1266 M (0)S
1288 F0S2A Ji
1289 1482 1287 M (=nondet\(v)[25 23 23 23 23 23 12 14 0]xS
1290 F0S1B Ji
1291 1671 1293 M (l)S
1292 F0S2A Ji
1293 1677 1287 M (,v)[12 0]xS
1294 F0S1B Ji
1295 1712 1293 M (u)S
1296 F0S2A Ji
1297 1727 1287 M (\), that is, x)[14 12 29 12 23 23 12 30 10 20 12 30 0]xS
1298 F0S1B Ji
1299 1976 1293 M (q')[15 0]xS
1300 1996 1266 M (0)S
1301 F0S2A Ji
1302 2011 1287 M ( takes a value)[30 12 23 21 23 20 30 23 30 23 23 10 23 0]xS
1303 1425 1335 M (between v)[23 23 12 29 23 23 23 12 0]xS
1304 F0S1B Ji
1305 1616 1341 M (l)S
1306 F0S2A Ji
1307 1622 1335 M ( and v)[12 23 23 23 12 0]xS
1308 F0S1B Ji
1309 1738 1341 M (u)S
1310 F0S2A Ji
1311 1753 1335 M (.)S
1312 F0S1B Ji
1313 1765 1314 M (4)S
1314 F0S2A Ji
1315 1350 1436 M (An edge \(q,G)[28 23 12 23 23 23 23 12 14 23 12 0]xS
1316 F4S2A Ji
1317 1599 1436 M <D9>S
1318 1625 1436 M (s)S
1319 1650 1436 M <AE>S
1320 1691 1436 M (s)S
1321 F0S2A Ji
1322 1716 1436 M (',q', x)[8 12 23 8 12 12 0]xS
1323 F0S1B Ji
1324 1813 1442 M (q')[15 0]xS
1325 1833 1415 M (0)S
1326 F0S2A Ji
1327 1848 1436 M (\) is interpreted as follows:)[14 12 10 20 12 10 23 12 23 14 23 14 23 12 23 23 13 23 20 13 13 23 10 10 23 29 20 0]xS
1328 : N 1625 1441 24 2 rp C
1329 L ; 1350 1487 M (if G is true and the event )[10 13 14 33 15 10 20 15 12 14 23 23 15 23 23 23 15 12 23 23 15 23 23 23 23 12 0]xS
1330 F4S2A Ji
1331 1843 1487 M (s)S
1332 F0S2A Ji
1333 1868 1487 M ( is received as an input,)[15 10 20 15 14 23 21 23 10 23 23 23 15 23 20 15 23 23 15 10 23 23 23 12 0]xS
1334 : N 1843 1492 24 2 rp C
1335 L ; 1350 1535 M (then the transition to q' occurs with the assignment)[12 23 23 23 16 12 23 23 16 12 14 23 23 20 10 12 10 23 23 16 12 23 17 23 8 17 23 21 21 23 14 20
1336 17 29 10 12 23 17 12 23 23 17 23 20 20 10 23 23 36 23 23 0]xS
1337 1350 1583 M (of the initial condition x)[23 13 15 12 23 23 15 10 23 10 12 10 23 10 15 21 23 23 23 10 12 10 23 23 15 0]xS
1338 F0S1B Ji
1339 1792 1589 M (q')[15 0]xS
1340 1812 1562 M (0)S
1341 F0S2A Ji
1342 1827 1583 M (\(t)[14 0]xS
1343 F0S1B Ji
1344 1853 1589 M (0)S
1345 F0S2A Ji
1346 1868 1583 M (\)= x)[14 25 15 0]xS
1347 F0S1B Ji
1348 1944 1589 M (q')[15 0]xS
1349 1964 1562 M (0 )[15 0]xS
1350 F0S2A Ji
1351 1990 1583 M (. Here t)[12 15 16 30 23 14 23 16 0]xS
1352 F0S1B Ji
1353 2151 1589 M (0 )[15 0]xS
1354 F0S2A Ji
1355 2178 1583 M (denotes)[23 23 23 23 12 23 0]xS
1356 1350 1631 M (the time at which the vertex q' is entered. The)[12 23 23 26 12 10 36 23 26 23 12 26 29 23 10 21 23 26 12 23 23 26 23 23 14 12 23 22 26 23 8 26
1357 10 20 26 23 23 12 23 14 23 23 12 26 26 23 0]xS
1358 1350 1682 M (output event )[23 23 12 23 23 12 12 23 23 23 23 12 0]xS
1359 F4S2A Ji
1360 1594 1682 M (s)S
1361 F0S2A Ji
1362 1619 1682 M (' is transmitted at the same time.)[8 12 10 20 12 12 14 23 23 20 36 10 12 12 23 23 12 23 12 12 12 23 23 12 20 23 36 23 12 12 10 36
1363 23 0]xS
1364 1350 1780 M (Although a more general model was presented in)[28 10 12 23 23 23 23 23 21 23 21 36 23 14 23 21 23 23 23 23 14 23 10 21 36 23 23 23 10 21 29 23
1365 20 21 23 14 23 20 23 23 12 23 23 22 10 0]xS
1366 1350 1828 M ([)S
1367 1362 1828 M (6)S
1368 1385 1828 M (], in this paper we assume that when the EHM)[12 12 21 10 23 21 12 23 10 20 22 23 23 23 23 14 22 29 23 22 23 20 20 23 36 23 22 12 23 23 12 22
1369 29 23 23 23 22 12 23 23 22 28 30 0]xS
1370 1350 1885 M (enters vertex q, its invariant I)[23 23 12 23 14 20 21 23 23 14 12 23 22 21 23 12 21 10 12 20 22 10 23 23 23 14 10 23 23 12 22 0]xS
1371 /F0S1F F0 [31 0 0 -31 0 0 ] mFS
1372 F0S1F Ji
1373 1939 1891 M (q)S
1374 F0S2A Ji
1375 1956 1885 M ( must be satisfied.)[22 36 23 20 12 22 23 23 22 20 23 12 10 20 13 10 23 23 0]xS
1376 1350 1938 M (Thus, let us define wp\(q,G)[26 23 23 20 12 26 10 23 12 26 23 20 26 23 23 13 10 23 23 26 29 23 14 23 12 0]xS
1377 F4S2A Ji
1378 1895 1938 M <D9>S
1379 1921 1938 M (s)S
1380 F0S2A Ji
1381 1946 1938 M (,q'\) to the weakest)[12 23 8 14 26 12 23 26 12 23 23 26 29 23 23 21 23 20 0]xS
1382 : N 1921 1943 24 2 rp C
1383 L ; 1350 1989 M (precondition under which the transition \(q,G)[23 14 23 21 23 23 23 10 12 10 23 23 23 23 23 23 23 14 23 29 23 10 21 23 23 12 23 23 24 12 14 23
1384 23 20 10 12 10 23 23 24 14 23 12 0]xS
1385 F4S2A Ji
1386 2217 1989 M <D9>S
1387 2243 1989 M (s)S
1388 F0S2A Ji
1389 2268 1989 M (,q'\))[12 23 8 0]xS
1390 : N 2243 1994 24 2 rp C
1391 L ; 1350 2046 M (will not violate the invariant I)[29 10 10 10 12 23 23 12 12 23 10 23 10 23 12 23 12 12 23 23 12 10 23 23 23 14 10 23 23 12 13 0]xS
1392 F0S1F Ji
1393 1883 2052 M (q)S
1394 F0S2A Ji
1395 1900 2046 M ( upon entry to q. Since)[13 23 23 23 23 13 23 23 12 14 21 13 12 23 13 23 12 13 28 10 23 21 0]xS
1396 1350 2105 M (some of variables that appear in I)[20 23 36 23 14 23 13 14 23 23 14 10 23 23 10 23 20 14 12 23 23 12 15 23 23 23 23 23 14 15 10 23
1397 15 0]xS
1398 F0S1F Ji
1399 1988 2111 M (q)S
1400 F0S2A Ji
1401 2005 2105 M ( are possibly \(re-)[15 23 14 23 15 23 23 20 20 10 23 10 21 15 14 14 23 0]xS
1402 1350 2155 M (\)initialized upon entering q, the condition)[14 10 23 10 12 10 23 10 10 21 23 23 56 23 23 23 23 56 23 23 12 23 14 10 23 23 56 23 12 57 12 23
1403 23 57 21 23 23 23 10 12 10 23 0]xS
1404 1350 2212 M (wp\(q,G)[29 23 14 23 12 0]xS
1405 F4S2A Ji
1406 1484 2212 M <D9>S
1407 1510 2212 M (s)S
1408 F0S2A Ji
1409 1535 2212 M (,q'\) can be calculated from I)[12 23 8 14 45 21 23 23 45 23 23 45 21 23 10 21 23 10 23 12 23 23 45 13 14 23 36 46 0]xS
1410 F0S1F Ji
1411 2218 2218 M (q)S
1412 F0S2A Ji
1413 2235 2212 M ( by)[46 23 0]xS
1414 : N 1510 2217 24 2 rp C
1415 L ; 1350 2271 M (substituting into I)[20 23 23 20 12 10 12 23 12 10 23 23 27 10 23 12 23 27 0]xS
1416 F0S1F Ji
1417 1695 2277 M (q)S
1418 F0S2A Ji
1419 1712 2271 M ( the appropriate initial values.)[28 12 23 23 28 23 23 23 14 23 23 14 10 23 12 23 28 10 23 10 12 10 23 10 28 23 23 10 23 23 20 0]xS
1420 1350 2321 M (That is, if x)[26 23 23 12 12 10 20 12 12 10 13 12 0]xS
1421 F0S1B Ji
1422 1557 2327 M (q')[15 0]xS
1423 F0S2A Ji
1424 1577 2321 M ( is \(re)[12 10 20 12 14 14 0]xS
1425 1682 2321 M (-\)initialized to x)[14 14 10 23 10 12 10 23 10 10 21 23 23 12 12 23 12 0]xS
1426 F0S1B Ji
1427 1966 2327 M (q')[15 0]xS
1428 1986 2300 M (0)S
1429 F0S2A Ji
1430 2001 2321 M (, then)[12 12 12 23 23 0]xS
1431 1425 2428 M (wp\(q,G)[29 23 14 23 12 0]xS
1432 F4S2A Ji
1433 1559 2428 M <D9>S
1434 1585 2428 M (s)S
1435 F0S2A Ji
1436 1610 2428 M (,q'\)= I)[12 23 8 14 25 12 0]xS
1437 F0S1F Ji
1438 1716 2434 M (q)S
1439 F0S2A Ji
1440 1733 2428 M (| )[11 0]xS
1441
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1444 /Times-Roman FontHasEuro not
1445 {
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1447 [500 0 24 -14 493 676 ]
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1457 } if
1458 F /F5 0 /256 T /Times-Roman mF
1459 /F5S1F F5 [31 0 0 -31 0 0 ] mFS
1460 F5S1F Ji
1461 1756 2434 M (xq'= xq'0)[15 15 5 17 8 15 15 5 0]xS
1462 F0S2A Ji
1463 1867 2428 M (.)S
1464 : N 1585 2433 24 2 rp C
1465 L ; 1350 2529 M (Since we allow nondeterministic \(re-\)initialization,)[28 10 23 21 23 26 29 23 26 23 10 10 23 29 27 23 23 23 23 23 12 23 14 36 10 23 10 20 12 10 21 27
1466 14 14 23 14 14 10 23 10 12 10 23 10 10 21 23 12 10 23 23 0]xS
1467 1350 2580 M (care must be taken when we calculate wp\(q,G)[21 23 14 23 12 36 23 20 12 12 23 23 12 12 23 21 23 23 12 29 23 23 23 12 29 23 12 21 23 10 21 23
1468 10 23 12 23 13 29 23 14 23 12 0]xS
1469 F4S2A Ji
1470 2205 2580 M <D9>S
1471 2231 2580 M (s)S
1472 F0S2A Ji
1473 2256 2580 M (,q'\).)[12 23 8 14 0]xS
1474 : N 2231 2585 24 2 rp C
1475 L ; 1350 2637 M (For instance, if I)[26 23 14 12 10 23 20 12 23 23 21 23 12 12 10 13 12 0]xS
1476 F0S1B Ji
1477 1651 2643 M (q)S
1478 F0S2A Ji
1479 1666 2637 M (=[s)[25 12 0]xS
1480 F0S1B Ji
1481 1723 2643 M (i)S
1482 F0S2A Ji
1483 1729 2637 M ( )S
1484 F4S2A Ji
1485 1741 2637 M <B3>S
1486 F0S2A Ji
1487 1764 2637 M ( C)[12 0]xS
1488 F0S1B Ji
1489 1806 2643 M (i)S
1490 F0S2A Ji
1491 1812 2637 M (] and s)[12 12 23 23 23 12 0]xS
1492 F0S1F Ji
1493 1937 2643 M (i)S
1494 1944 2612 M (o)S
1495 F0S2A Ji
1496 1960 2637 M (=nondet\(k)[25 23 23 23 23 23 12 14 0]xS
1497 F0S1B Ji
1498 2147 2643 M (l)S
1499 F0S2A Ji
1500 2153 2637 M (,k)[12 0]xS
1501 F0S1B Ji
1502 2186 2643 M (u)S
1503 F0S2A Ji
1504 2201 2637 M (\), then)[14 12 12 12 23 23 0]xS
1505 1275 2867 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1506 1635 2867 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
1507 : N 1275 2856 600 2 rp C
1508 L ; F0S1B Ji
1509 1275 2894 M (4)S
1510 F0S2A Ji
1511 1290 2915 M ( )S
1512 F2S2A Ji
1513 1302 2915 M (nondet)[23 23 23 23 23 0]xS
1514 F0S2A Ji
1515 1429 2915 M (\(v)[14 0]xS
1516 F0S1B Ji
1517 1466 2921 M (l)S
1518 F0S2A Ji
1519 1472 2915 M (, v)[12 12 0]xS
1520 F0S1B Ji
1521 1519 2921 M (u)S
1522 F0S2A Ji
1523 1534 2915 M (\) does not imply a probability distribution,)[14 12 23 23 23 20 12 23 23 12 12 10 36 23 10 21 12 23 12 23 14 23 23 23 23 10 10 10 12 21 12 23
1524 10 20 12 14 10 23 23 12 10 23 23 0]xS
1525 1275 2964 M (it denotes that the value assigned has some uncertainty)[10 12 12 23 23 23 23 12 23 20 12 12 23 23 12 12 12 23 23 12 23 23 10 23 23 12 23 20 20 10 23 23
1526 23 23 12 23 23 20 12 20 23 36 23 12 23 23 21 23 14 12 23 10 23 12 0]xS
1527 1275 3012 M (but will be in [v)[23 23 12 12 29 10 10 10 12 23 23 12 10 23 12 12 0]xS
1528 F0S1B Ji
1529 1554 3018 M (l)S
1530 F0S2A Ji
1531 1560 3012 M (, v)[12 12 0]xS
1532 F0S1B Ji
1533 1607 3018 M (u)S
1534 F0S2A Ji
1535 1622 3012 M (]. The reachability algorithm we have)[12 12 12 12 26 23 23 12 14 23 23 21 23 23 23 10 10 10 12 21 12 23 10 23 23 14 10 12 23 36 12 29
1536 23 12 23 23 23 0]xS
1537 1275 3060 M (developed correctly treats such assignments.)[23 23 23 23 10 23 23 23 23 12 21 23 14 14 23 21 12 10 21 12 12 14 23 23 12 20 12 20 23 21 23 12
1538 23 20 20 10 23 23 36 23 23 12 20 0]xS
1539 LH
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1552 0 Lj 2 Lc 16 Lw solid N 370 217 M 401 217 I : 0.129 0.129 +S K
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1571 F /F6 0 /256 T /Times-Italic mF
1572 /F6S31 F6 [49.945 0 0 -49.945 0 0 ] mFS
1573 F6S31 Ji
1574 158 209 M (wp)[34 0]xS
1575 236 209 M (q)S
1576 280 209 M (G)S
1577 421 209 M (q)S
1578 593 167 M (true)[14 19 25 0]xS
1579 744 167 M (if)[14 0]xS
1580 797 167 M (k)S
1581 890 167 M (C)S
1582 603 242 M (false)[14 25 14 19 0]xS
1583 744 242 M (otherwise)[25 14 25 22 19 34 14 19 0]xS
1584 /F6S1D F6 [29.133 0 0 -29.133 0 0 ] mFS
1585 F6S1D Ji
1586 821 180 M (l)S
1587 922 180 M (i)S
1588 /F5S31 F5 [49.945 0 0 -49.945 0 0 ] mFS
1589 F5S31 Ji
1590 217 209 M (\()S
1591 261 209 M (,)S
1592 402 209 M (,)S
1593 447 209 M (')S
1594 463 209 M (\))S
1595 /F4S31 F4 [49.945 0 0 -49.945 0 0 ] mFS
1596 F4S31 Ji
1597 328 209 M <D9>S
1598 492 209 M (=)S
1599 849 167 M <B3>S
1600 27605 VM?
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1656 568 172 M <01>S
1657 605 VM?
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1662 /Ged [12 50 true [1 0 0 1 0 46 ] 0 0]
1663 [<~!&+C,!&+C,!&+C,!&+C,!&+C,!&+C,!&+C,!&+Cl!+5e7!8mjm!Peef%KJTk
1664 huM[849,ll"+UEf!5JTm!+5e7!,qol!&+C,!&+C,!&+C,!&+C,!&+C,!&+C,
1665 !&+C,~>
1666 ]
1667 /TT1AAb00 AddT3T32Char
1668 T32RsrcEnd
1669 568 214 M <02>S
1670 605 VM?
1671 T32RsrcBegin
1672
1673 3
1674 /Gee [25 0 10 -46 22 4 ]
1675 /Gee [12 50 true [1 0 0 1 -10 46 ] 0 0]
1676 [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
1677 ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.MhuI-b?iY-G0E;pi)up3D
1678 "2FnU~>
1679 ]
1680 /TT1AAb00 AddT3T32Char
1681 T32RsrcEnd
1682 568 256 M <03>S
1683 /F4S31I0FY00 F4 [49.945 0 15.438 -49.945 0 0 ] mFS
1684 F4S31I0FY00 Ji
1685 366 209 M (s)S
1686 F0S2A Ji
1687 150 363 M (This is because if k)[26 23 10 20 12 10 20 12 23 23 21 23 23 20 23 12 10 13 12 0]xS
1688 F0S1B Ji
1689 507 369 M (l)S
1690 F4S2A Ji
1691 513 363 M <B3>S
1692 F0S2A Ji
1693 536 363 M (C)S
1694 F0S1B Ji
1695 566 369 M (i)S
1696 F0S2A Ji
1697 572 363 M (, then in the worst case [s)[12 12 12 23 23 23 12 10 23 12 12 23 23 13 29 23 14 20 12 13 21 23 20 23 13 12 0]xS
1698 F0S1B Ji
1699 1048 369 M (i)S
1700 F4S2A Ji
1701 1054 363 M <B3>S
1702 F0S2A Ji
1703 1077 363 M (C)S
1704 F0S1B Ji
1705 1107 369 M (i)S
1706 F0S2A Ji
1707 1113 363 M (])S
1708 150 414 M (is true, so that the transition \(q, G)[10 20 21 12 14 23 23 12 21 20 23 21 12 23 23 12 21 12 23 23 21 12 14 23 23 20 10 12 10 23 23 21
1709 14 23 12 21 0]xS
1710 F4S2A Ji
1711 834 414 M <D9>S
1712 860 414 M (s)S
1713 F0S2A Ji
1714 885 414 M (, q\222\) will not)[12 21 23 9 14 22 29 10 10 10 22 23 23 0]xS
1715 150 462 M (violate the invariant I)[23 10 23 10 23 12 23 15 12 23 23 15 10 23 23 23 14 10 23 23 12 15 0]xS
1716 F0S1B Ji
1717 550 468 M (q)S
1718 F0S2A Ji
1719 565 462 M (\222. If the weakest precondition)[9 12 15 15 12 13 15 12 23 23 16 29 23 23 21 23 20 12 16 23 14 23 21 23 23 23 10 12 10 23 0]xS
1720 150 510 M (is not satisfied, that is, G does not imply)[10 20 41 23 23 12 41 20 23 12 10 20 13 10 23 23 12 41 12 23 23 12 41 10 20 12 41 33 41 23 23 23
1721 20 41 23 23 12 42 10 36 23 10 0]xS
1722 150 561 M (wp\(q,G)[29 23 14 23 12 0]xS
1723 F4S2A Ji
1724 284 561 M <D9>S
1725 310 561 M (s)S
1726 F0S2A Ji
1727 335 561 M (,q'\), then we will replace \(q,G)[12 23 8 14 12 26 12 23 23 23 26 29 23 26 29 10 10 10 26 14 23 23 10 23 21 23 26 14 23 12 0]xS
1728 F4S2A Ji
1729 945 561 M <D9>S
1730 971 561 M (s)S
1731 : N 310 566 24 2 rp C
1732 L ; 996 561 M <AE>S
1733 1037 561 M (s)S
1734 F0S2A Ji
1735 1062 561 M (',q',)[8 12 23 8 0]xS
1736 : N 971 566 24 2 rp C
1737 L ; 150 612 M (x)S
1738 F0S1B Ji
1739 172 618 M (q')[15 0]xS
1740 192 591 M (0)S
1741 F0S2A Ji
1742 207 612 M (\) by \(q, wp\(q,G)[14 12 23 21 12 14 23 12 12 29 23 14 23 12 0]xS
1743 F4S2A Ji
1744 484 612 M <D9>S
1745 510 612 M (s)S
1746 F0S2A Ji
1747 535 612 M (,q'\) )[12 23 8 14 0]xS
1748 F4S2A Ji
1749 604 612 M <D9>S
1750 F0S2A Ji
1751 630 612 M (G)S
1752 F4S2A Ji
1753 663 612 M <D9>S
1754 689 612 M (s)S
1755 : N 510 617 24 2 rp C
1756 L ; 714 612 M <AE>S
1757 755 612 M (s)S
1758 F0S2A Ji
1759 780 612 M (',q', x)[8 12 23 8 12 12 0]xS
1760 F0S1B Ji
1761 877 618 M (q')[15 0]xS
1762 897 591 M (0)S
1763 F0S2A Ji
1764 912 612 M (\).)[14 0]xS
1765 : N 689 617 24 2 rp C
1766 L ; 150 713 M (If )[12 13 0]xS
1767 F4S2A Ji
1768 187 713 M (s)S
1769 F0S2A Ji
1770 212 713 M (' is absent, then no output event is transmitted. If)[8 13 10 20 13 23 23 20 23 23 12 12 13 12 23 23 23 13 23 23 13 23 23 12 23 23 12 13 23 23 23 23
1771 12 13 10 20 13 12 14 23 23 20 36 10 12 12 23 23 12 13 12 0]xS
1772 150 761 M (x)S
1773 F0S1B Ji
1774 172 767 M (q')[15 0]xS
1775 192 740 M (0 )[15 0]xS
1776 F0S2A Ji
1777 216 761 M (is absent, then the initial condition is inherited or)[10 20 13 23 23 20 23 23 12 12 13 12 23 23 23 14 12 23 23 14 10 23 10 12 10 23 10 14 21 23 23 23
1778 10 12 10 23 23 14 10 20 14 10 23 23 23 14 10 12 23 23 14 23 0]xS
1779 150 809 M (partially inherited from x)[23 23 14 12 10 23 10 10 21 23 10 23 23 23 14 10 12 23 23 23 13 14 23 36 23 0]xS
1780 F0S1B Ji
1781 634 815 M (q )[15 0]xS
1782 F0S2A Ji
1783 668 809 M (\(assuming the inherited)[14 23 20 20 23 36 10 23 23 23 12 23 23 23 10 23 23 23 14 10 12 23 0]xS
1784 150 857 M (states)[20 12 23 12 23 0]xS
1785 F0S1B Ji
1786 260 836 M ( )S
1787 F0S2A Ji
1788 268 857 M (represent the same physical object and hence)[14 23 23 14 23 20 23 23 12 12 12 23 23 13 20 23 36 23 13 23 23 21 20 10 21 23 10 13 23 23 10 23
1789 21 12 13 23 23 23 13 23 23 23 21 0]xS
1790 150 908 M (are of the same dimension\). If )[23 14 23 14 23 13 14 12 23 23 14 20 23 36 23 15 23 10 36 23 23 20 10 23 23 14 12 15 12 13 0]xS
1791 F4S2A Ji
1792 735 908 M (s)S
1793 F0S2A Ji
1794 760 908 M ( is absent, then the)[15 10 20 15 23 23 20 23 23 12 12 15 12 23 23 23 15 12 23 0]xS
1795 : N 735 913 24 2 rp C
1796 L ; 150 956 M (transition takes place immediately upon G becoming)[12 14 23 23 20 10 12 10 23 23 12 12 23 21 23 20 12 23 10 23 21 23 12 10 36 36 23 23 10 23 12 23
1797 10 21 12 23 23 23 23 12 33 12 23 23 21 23 36 10 23 0]xS
1798 150 1004 M (true. Such transitions will be called )[12 14 23 23 12 33 33 28 23 21 23 34 12 14 23 23 20 10 12 10 23 23 20 34 29 10 10 10 34 23 23 34
1799 21 23 10 10 23 23 0]xS
1800 F2S2A Ji
1801 970 1004 M (dynamic)[23 21 23 23 35 9 0]xS
1802 F0S2A Ji
1803 150 1053 M (transitions. If G is absent, the guard is always true)[12 14 23 23 20 10 12 10 23 23 20 12 15 15 12 13 15 33 16 10 20 16 23 23 20 23 23 12 12 16 12 23
1804 23 16 23 23 23 14 23 16 10 20 16 23 10 29 23 21 20 16 12 14 23 0]xS
1805 150 1101 M (and the transition will be triggered by the input event)[23 23 23 12 12 23 23 12 12 14 23 23 20 10 12 10 23 23 12 29 10 10 10 12 23 23 12 12 14 10 23 23
1806 23 14 23 23 12 23 21 13 12 23 23 13 10 23 23 23 12 13 23 23 23 23 0]xS
1807 F4S2A Ji
1808 150 1152 M (s)S
1809 F0S2A Ji
1810 175 1152 M (. Such transitions will be called )[12 12 12 28 23 21 23 12 12 14 23 23 20 10 12 10 23 23 20 12 29 10 10 10 12 23 23 12 21 23 10 10
1811 23 23 0]xS
1812 F2S2A Ji
1813 771 1152 M (event)[23 21 23 23 0]xS
1814 F0S2A Ji
1815 873 1152 M ( transitions.)[12 12 14 23 23 20 10 12 10 23 23 20 0]xS
1816 : N 150 1157 24 2 rp C
1817 L ; 150 1251 M (Although our EHM model allows guarded event)[28 10 12 23 23 23 23 23 28 23 23 14 28 28 30 35 28 36 23 23 23 10 29 23 10 10 23 29 20 29 23 23
1818 23 14 23 23 23 29 23 23 23 23 0]xS
1819 150 1302 M (transitions with both G and )[12 14 23 23 20 10 12 10 23 23 20 18 29 10 12 23 18 23 23 12 23 18 33 18 23 23 23 0]xS
1820 F4S2A Ji
1821 687 1302 M (s)S
1822 F0S2A Ji
1823 712 1302 M (, such transitions can)[12 19 20 23 21 23 19 12 14 23 23 20 10 12 10 23 23 20 19 21 23 0]xS
1824 : N 687 1307 24 2 rp C
1825 L ; 150 1350 M (be decomposed into event transitions and dynamic)[23 23 17 23 23 21 23 36 23 23 20 23 23 17 10 23 12 23 17 23 23 23 23 12 17 12 14 23 23 20 10 12
1826 10 23 23 20 17 23 23 23 18 23 21 23 23 36 10 0]xS
1827 150 1398 M (transitions as shown in Figure )[12 14 23 23 20 10 12 10 23 23 20 12 23 20 12 20 23 23 29 23 12 10 23 12 26 10 23 23 14 23 0]xS
1828 713 1398 M (1)S
1829 736 1398 M (.)S
1830 /F5S31 F5 [49.961 0 0 -49.961 0 0 ] mFS
1831 F5S31 Ji
1832 213 1582 M ( )S
1833 225 1582 M (q)S
1834 250 1582 M ( )S
1835 263 1582 M ( )S
1836 275 1582 M ( )S
1837 288 1582 M ( )S
1838 300 1582 M ( )S
1839 313 1582 M ( )S
1840 325 1582 M ( )S
1841 338 1582 M ( )S
1842 350 1582 M ( )S
1843 363 1582 M ( )S
1844 375 1582 M (q)S
1845 400 1582 M <92>S
1846 417 1582 M ( )S
1847 429 1582 M ( )S
1848 442 1582 M (<)S
1849 471 1582 M (=)S
1850 500 1582 M (>)S
1851 529 1582 M ( )S
1852 542 1582 M (q)S
1853 567 1582 M (1)S
1854 592 1582 M ( )S
1855 604 1582 M ( )S
1856 617 1582 M ( )S
1857 629 1582 M ( )S
1858 642 1582 M ( )S
1859 654 1582 M ( )S
1860 667 1582 M ( )S
1861 679 1582 M ( )S
1862 692 1582 M ( )S
1863 704 1582 M ( )S
1864 717 1582 M (q)S
1865 742 1582 M (2)S
1866 767 1582 M ( )S
1867 779 1582 M ( )S
1868 792 1582 M ( )S
1869 804 1582 M ( )S
1870 817 1582 M ( )S
1871 829 1582 M ( )S
1872 842 1582 M ( )S
1873 854 1582 M ( )S
1874 867 1582 M ( )S
1875 879 1582 M ( )S
1876 892 1582 M (q)S
1877 917 1582 M <92>S
1878 1 Lw N 263 1569 M 342 1569 I : 4.164 4.16 +S K
1879 ; N 342 1561 M 342 1578 I 354 1569 I 342 1561 I C
1880 O N 342 1561 M 342 1578 I : 4.164 4.16 +S K
1881 ; N 342 1578 M 354 1569 I : 4.164 4.16 +S K
1882 ; N 354 1569 M 342 1561 I : 4.164 4.16 +S K
1883 ; N 604 1549 M 683 1549 I : 4.164 4.16 +S K
1884 ; N 683 1540 M 683 1557 I 696 1549 I 683 1540 I C
1885 O N 683 1540 M 683 1557 I : 4.164 4.16 +S K
1886 ; N 683 1557 M 696 1549 I : 4.164 4.16 +S K
1887 ; N 696 1549 M 683 1540 I : 4.164 4.16 +S K
1888 ; N 783 1569 M 863 1569 I : 4.164 4.16 +S K
1889 ; N 863 1561 M 863 1578 I 875 1569 I 863 1561 I C
1890 O N 863 1561 M 863 1578 I : 4.164 4.16 +S K
1891 ; N 863 1578 M 875 1569 I : 4.164 4.16 +S K
1892 ; N 875 1569 M 863 1561 I : 4.164 4.16 +S K
1893 ; N 617 1590 M 696 1590 I : 4.164 4.16 +S K
1894 ; N 621 1599 M 621 1582 I 604 1590 I 621 1599 I C
1895 O N 621 1599 M 621 1582 I : 4.164 4.16 +S K
1896 ; N 621 1582 M 604 1590 I : 4.164 4.16 +S K
1897 ; N 604 1590 M 621 1599 I : 4.164 4.16 +S K
1898 ; /F0S29 F0 [41.633 0 0 -41.633 0 0 ] mFS
1899 F0S29 Ji
1900 258 1532 M ( )S
1901 267 1532 M (G)S
1902 /F4S29 F4 [41.633 0 0 -41.633 0 0 ] mFS
1903 F4S29 Ji
1904 296 1532 M <D9>S
1905 321 1532 M (s)S
1906 N 321 1536 M 346 1536 I 346 1540 I 321 1540 I 321 1536 I C
1907 O : 804 1495 12 46 rc F0S29 Ji
1908 804 1532 M ( )S
1909 ; : 813 1495 25 46 rc 813 1532 M (s)S
1910 ; N 804 1536 M 838 1536 I 838 1540 I 804 1540 I 804 1536 I C
1911 O F0S29 Ji
1912 617 1653 M ( )S
1913 F4S29 Ji
1914 625 1653 M <D8>S
1915 F0S29 Ji
1916 654 1653 M (G)S
1917 625 1524 M ( )S
1918 633 1524 M (G)S
1919 F1S2A Ji
1920 241 1776 M (Figure )[26 12 26 26 16 23 0]xS
1921 382 1776 M (1)S
1922 405 1776 M (: Guarded Event Transition)[14 12 12 33 26 23 16 26 23 26 12 28 23 23 26 14 12 27 16 23 26 23 12 14 12 26 0]xS
1923 F0S2A Ji
1924 150 1875 M (In the figure, q has been partitioned into q1 and q2,)[12 23 14 12 23 23 14 13 10 23 23 14 23 12 14 23 14 23 23 20 15 23 23 23 23 15 23 23 14 12 10 12
1925 10 23 23 23 23 15 10 23 12 23 15 23 23 15 23 23 23 15 23 23 0]xS
1926 150 1926 M (with I)[29 10 12 23 32 0]xS
1927 F0S1B Ji
1928 268 1932 M (q 1)[15 28 0]xS
1929 F0S2A Ji
1930 326 1926 M (= I)[25 32 0]xS
1931 F0S1B Ji
1932 395 1932 M (q )[15 0]xS
1933 F4S2A Ji
1934 438 1926 M <D9>S
1935 F0S2A Ji
1936 464 1926 M ( )S
1937 F4S2A Ji
1938 496 1926 M <D8>S
1939 F0S2A Ji
1940 526 1926 M (G and I)[33 32 32 23 23 23 32 0]xS
1941 F0S1B Ji
1942 736 1932 M (q 2)[15 29 0]xS
1943 F0S2A Ji
1944 795 1926 M (= I)[25 33 0]xS
1945 F0S1B Ji
1946 865 1932 M (q )[15 0]xS
1947 F4S2A Ji
1948 909 1926 M <D9>S
1949 F0S2A Ji
1950 935 1926 M ( G. This)[33 33 12 33 26 23 10 0]xS
1951 150 1974 M (decomposition is valid because for a guarded event)[23 23 21 23 36 23 23 20 10 12 10 23 23 14 10 20 14 23 23 10 10 23 14 23 23 21 23 23 20 23 14 13
1952 23 14 15 23 15 23 23 23 14 23 23 23 15 23 23 23 23 0]xS
1953 150 2022 M (transition to take place, the guard must be true when)[12 14 23 23 20 10 12 10 23 23 12 12 23 12 12 23 21 23 12 23 10 23 21 23 12 12 12 23 23 12 23 23
1954 23 14 23 12 36 23 20 12 12 23 23 12 12 14 23 23 12 29 23 23 0]xS
1955 150 2070 M (the event is triggered.)[12 23 23 12 23 23 23 23 12 12 10 20 12 12 14 10 23 23 23 14 23 23 0]xS
1956 75 2168 M (6.)[23 0]xS
1957 150 2168 M (\(q)[14 0]xS
1958 F0S1B Ji
1959 187 2174 M (0)S
1960 F0S2A Ji
1961 202 2168 M (, x)[12 16 0]xS
1962 F0S1B Ji
1963 252 2174 M (0)S
1964 F0S2A Ji
1965 267 2168 M (\) denotes the initialization condition: q)[14 16 23 23 23 23 12 23 20 16 12 23 23 17 10 23 10 12 10 23 10 10 21 23 12 10 23 23 17 21 23 23
1966 23 10 12 10 23 23 12 17 0]xS
1967 F0S1B Ji
1968 992 2174 M (0 )[15 0]xS
1969 F0S2A Ji
1970 1020 2168 M (is the)[10 20 17 12 23 0]xS
1971 150 2216 M (initial vertex and x)[10 23 10 12 10 23 10 12 23 23 14 12 23 22 12 23 23 23 12 0]xS
1972 F0S1B Ji
1973 492 2222 M (q0)[15 0]xS
1974 F0S2A Ji
1975 522 2216 M (\(0\)= x)[14 23 14 25 12 0]xS
1976 F0S1B Ji
1977 632 2222 M (0)S
1978 F0S2A Ji
1979 647 2216 M (.)S
1980 75 2314 M (Without loss of generality, we assume that the invariant)[42 10 12 23 23 23 12 14 10 23 20 20 14 23 13 14 23 23 23 23 14 23 10 10 12 21 12 14 29 23 15 23
1981 20 20 23 36 23 15 12 23 23 12 15 12 23 23 15 10 23 23 23 14 10 23 23 0]xS
1982 75 2362 M (I)S
1983 F0S1B Ji
1984 87 2368 M (q)S
1985 F0S2A Ji
1986 102 2362 M ( is violated if and only if one of the guards at q is)[21 10 20 21 23 10 23 10 23 12 23 23 21 10 13 21 23 23 23 21 23 23 10 21 21 10 13 21 23 23 23 21
1987 23 13 21 12 23 23 22 23 23 23 14 23 20 22 23 12 22 23 22 10 0]xS
1988 75 2410 M (satisfied, that is,)[20 23 12 10 20 13 10 23 23 12 12 12 23 23 12 12 10 20 0]xS
1989 225 2511 M (I)S
1990 F0S1B Ji
1991 237 2517 M (q )[15 0]xS
1992 F0S2A Ji
1993 260 2511 M (= )[25 0]xS
1994 F4S2A Ji
1995 297 2511 M <D8>S
1996 F0S2A Ji
1997 327 2511 M (G)S
1998 F0S1B Ji
1999 360 2517 M (1)S
2000 F4S2A Ji
2001 375 2511 M <D9>S
2002 F0S2A Ji
2003 401 2511 M ( )S
2004 F4S2A Ji
2005 413 2511 M <D8>S
2006 F0S2A Ji
2007 443 2511 M (G)S
2008 F0S1B Ji
2009 476 2517 M (2)S
2010 F4S2A Ji
2011 491 2511 M <D9>S
2012 F0S2A Ji
2013 517 2511 M ( ...)[12 12 12 0]xS
2014 F4S2A Ji
2015 565 2511 M <D9>S
2016 591 2511 M <D8>S
2017 F0S2A Ji
2018 621 2511 M (G)S
2019 F0S1B Ji
2020 654 2517 M (k)S
2021 F0S2A Ji
2022 668 2511 M (,)S
2023 75 2609 M (where G)[29 23 23 14 23 12 0]xS
2024 F0S1B Ji
2025 232 2615 M (1)S
2026 F0S2A Ji
2027 247 2609 M (,G)[12 0]xS
2028 F0S1B Ji
2029 292 2615 M (2)S
2030 F0S2A Ji
2031 307 2609 M (, ...,G)[12 12 12 12 12 12 0]xS
2032 F0S1B Ji
2033 412 2615 M (k)S
2034 F0S2A Ji
2035 426 2609 M ( are guards of the dynamic transitions)[12 23 14 23 12 23 23 23 14 23 20 12 23 13 12 12 23 23 12 23 21 23 23 36 10 21 12 12 14 23 23 20
2036 10 12 10 23 23 0]xS
2037 75 2657 M (leaving q. If this assumption is not satisfied, we can)[10 23 23 23 10 23 23 22 23 12 22 12 13 22 12 23 10 20 23 23 20 20 23 36 23 12 10 23 23 23 10 20
2038 23 23 23 12 23 20 23 12 10 20 13 10 23 23 12 23 29 23 23 21 23 0]xS
2039 75 2705 M (simply redefine I)[20 10 36 23 10 21 12 14 23 23 23 13 10 23 23 12 0]xS
2040 F0S1B Ji
2041 383 2711 M (q)S
2042 F0S2A Ji
2043 398 2705 M ( as above without changing the EHM.)[12 23 20 12 23 23 23 23 23 12 29 10 12 23 23 23 12 12 21 23 23 23 23 10 23 23 12 12 23 23 12 28
2044 30 35 0]xS
2045 75 2803 M (When several processes modeled by EHMs run in)[42 23 23 23 29 20 23 23 23 14 23 10 29 23 14 23 21 23 20 20 23 20 29 36 23 23 23 10 23 23 29 23
2046 21 29 28 30 35 20 30 14 23 23 30 10 0]xS
2047 75 2851 M (parallel, the concurrent system will be modeled by a)[23 23 14 23 10 10 23 10 12 22 12 23 23 22 21 23 23 21 23 14 14 23 23 12 23 20 21 20 12 23 36 23
2048 29 10 10 10 23 23 23 23 36 23 23 23 10 23 23 23 23 21 23 0]xS
2049 75 2899 M (composite hybrid machine \(CHM\) using a parallel)[21 23 36 23 23 20 10 12 23 34 23 21 23 14 10 23 34 36 23 21 23 10 23 23 34 14 30 30 35 14 34 23
2050 20 10 23 23 34 23 35 23 23 14 23 10 10 23 0]xS
2051 75 2947 M (composition operator ||.)[21 23 36 23 23 20 10 12 10 23 23 12 23 23 23 14 23 12 23 14 12 11 11 0]xS
2052 225 3045 M (CHM = EHM)[30 30 35 12 25 12 28 30 0]xS
2053 F0S1B Ji
2054 462 3024 M (1)S
2055 F0S2A Ji
2056 477 3045 M (||EHM)[11 11 28 30 0]xS
2057 F0S1B Ji
2058 592 3024 M (2)S
2059 F0S2A Ji
2060 607 3045 M (||...||EHM)[11 11 12 12 12 11 11 28 30 0]xS
2061 F0S1B Ji
2062 780 3024 M (n)S
2063 F0S2A Ji
2064 795 3045 M (.)S
2065 1275 156 M (Interaction between EHMs is achieved by means of)[12 23 12 23 14 23 21 12 10 23 23 25 23 23 12 29 23 23 23 26 28 30 35 20 26 10 20 26 23 21 23 10
2066 23 23 23 23 26 23 21 26 36 23 23 23 20 26 23 0]xS
2067 1275 204 M (signal transmission \(shared variables, or )[20 10 23 23 23 10 12 12 14 23 23 20 36 10 20 20 10 23 23 12 14 20 23 23 14 23 23 12 23 23 14 10
2068 23 23 10 23 20 12 12 23 14 0]xS
2069 F2S2A Ji
2070 2036 204 M (SV)[28 0]xS
2071 F0S2A Ji
2072 2092 204 M (s\) and input-)[20 14 12 23 23 23 13 10 23 23 23 12 0]xS
2073 1275 253 M (output event synchronization \(message passing or event)[23 23 12 23 23 12 12 23 23 23 23 12 12 20 21 23 21 23 14 23 23 10 21 23 12 10 23 23 12 14 36 23
2074 20 20 23 23 23 13 23 23 20 20 10 23 23 13 23 14 13 23 23 23 23 0]xS
2075 1275 301 M (passing\) as described below.)[23 23 20 20 10 23 23 14 12 23 20 12 23 23 20 21 14 10 23 23 23 12 23 23 10 23 29 0]xS
2076 1275 399 M (Shared variables consist of output signals from all)[28 23 23 14 23 23 29 23 23 14 10 23 23 10 23 20 29 21 23 23 20 10 20 12 30 23 13 30 23 23 12 23
2077 23 12 30 20 10 23 23 23 10 20 30 13 14 23 36 30 23 10 0]xS
2078 1275 447 M (EHMs as well as signals received from the environment.)[28 30 35 20 12 23 20 12 29 23 10 10 12 23 20 13 20 10 23 23 23 10 20 13 14 23 21 23 10 23 23 23
2079 13 13 14 23 36 13 12 23 23 13 23 23 23 10 14 23 23 36 23 23 12 0]xS
2080 1275 495 M (They are shared by all EHMs in the sense that they are)[26 23 23 21 14 23 14 23 14 20 23 23 14 23 23 14 23 21 15 23 10 10 15 28 30 35 20 15 10 23 15 12
2081 23 23 15 20 23 23 20 23 15 12 23 23 12 15 12 23 23 21 15 23 14 0]xS
2082 1275 543 M (accessible to all EHMs. A specific shared variable s)[23 21 21 23 20 20 10 23 10 23 20 12 23 20 23 10 10 20 28 30 35 20 12 20 20 28 20 20 23 23 21 10
2083 13 10 21 21 20 23 23 14 23 23 21 23 23 14 10 23 23 10 23 21 0]xS
2084 F0S1B Ji
2085 2319 549 M (i)S
2086 F0S2A Ji
2087 1275 591 M (can be the output of at most one EHM. The set of)[21 23 23 22 23 23 22 12 23 23 22 23 23 12 23 23 12 22 23 13 22 23 12 22 36 23 20 12 22 23 23 23
2088 22 28 30 35 12 22 22 26 23 23 22 20 23 12 22 23 0]xS
2089 1275 639 M (shared variables defines a signal space S= [s)[20 23 23 14 23 23 20 23 23 14 10 23 23 10 23 20 20 23 23 13 10 23 23 20 20 23 20 20 10 23 23 23
2090 10 20 20 23 23 21 23 20 28 25 20 12 0]xS
2091 F0S1B Ji
2092 2172 645 M (1, )[15 8 0]xS
2093 F0S2A Ji
2094 2211 639 M ( s)[20 0]xS
2095 F0S1B Ji
2096 2251 645 M (2, \205,)[15 8 16 27 0]xS
2097 F0S2A Ji
2098 1275 690 M (s)S
2099 F0S1B Ji
2100 1295 696 M (m)S
2101 F0S2A Ji
2102 1317 690 M (])S
2103 F4S2A Ji
2104 1329 690 M <CE>S
2105 F2S2A Ji
2106 1358 690 M (R)S
2107 F0S1B Ji
2108 1388 669 M (m)S
2109 F0S2A Ji
2110 1410 690 M (.)S
2111 1275 789 M (Transitions are synchronized by an input-output)[26 14 23 23 20 10 12 10 23 23 20 46 23 14 23 46 20 21 23 21 23 14 23 23 10 21 23 23 46 23 21 46
2112 23 23 46 10 23 23 23 12 14 23 23 12 23 23 0]xS
2113 1275 840 M (synchronization formalism. That is, if an output event )[20 21 23 21 23 14 23 23 10 21 23 12 10 23 23 13 13 23 14 36 23 10 10 20 36 12 13 13 26 23 23 12
2114 14 10 20 12 14 10 13 14 23 23 14 23 23 12 23 23 12 14 23 23 23 23 12 0]xS
2115 F4S2A Ji
2116 2300 840 M (s)S
2117 F0S2A Ji
2118 1275 888 M (is either generated by one of the EHMs or received from)[10 20 12 23 10 12 23 23 14 12 23 23 23 23 14 23 12 23 23 12 23 21 12 23 23 23 12 23 13 13 12 23
2119 23 13 28 30 35 20 13 23 14 13 14 23 21 23 10 23 23 23 13 13 14 23 0]xS
2120 1275 939 M (the environment, then all EHMs for which )[12 23 23 14 23 23 23 10 14 23 23 36 23 23 12 12 14 12 23 23 23 14 23 10 10 14 28 30 35 20 14 13
2121 23 14 14 29 23 10 21 23 0]xS
2122 F4S2A Ji
2123 2069 939 M (s)S
2124 F0S2A Ji
2125 2094 939 M ( is an active)[14 10 20 14 23 23 15 23 21 12 10 23 0]xS
2126 : N 2069 944 24 2 rp C
2127 L ; 1275 990 M (transition label \(i.e., )[12 14 23 23 20 10 12 10 23 23 19 10 23 23 23 10 19 14 10 12 23 12 12 0]xS
2128 F4S2A Ji
2129 1674 990 M (s)S
2130 F0S2A Ji
2131 1699 990 M ( is defined at the current vertex)[19 10 20 19 23 23 13 10 23 23 23 20 23 12 20 12 23 23 20 21 23 14 14 23 23 12 20 23 23 14 12 23
2132 0]xS
2133 : N 1674 995 24 2 rp C
2134 L ; 1275 1041 M (with the guard satisfied\) will execute )[29 10 12 23 36 12 23 23 36 23 23 23 14 23 36 20 23 12 10 20 13 10 23 23 14 36 29 10 10 10 36 23
2135 22 23 21 23 12 23 0]xS
2136 F4S2A Ji
2137 2103 1041 M (s)S
2138 F0S2A Ji
2139 2128 1041 M ( \(and its)[36 14 23 23 23 36 10 12 0]xS
2140 : N 2103 1046 24 2 rp C
2141 L ; 1275 1089 M (associated transition\) concurrently with the occurrence)[23 20 20 23 21 10 23 12 23 23 20 12 14 23 23 20 10 12 10 23 23 14 20 21 23 23 21 23 14 14 23 23
2142 12 10 21 20 29 10 12 23 21 12 23 23 21 23 21 21 23 14 14 23 23 21 0]xS
2143 1275 1140 M (of )[23 13 0]xS
2144 F4S2A Ji
2145 1330 1140 M (s)S
2146 F0S2A Ji
2147 1355 1140 M (. A specific output event can be generated by at)[12 19 19 28 19 20 23 23 21 10 13 10 21 19 23 23 12 23 23 12 19 23 23 23 23 12 19 21 23 23 19 23
2148 23 19 23 23 23 23 14 23 12 23 23 19 23 21 19 23 0]xS
2149 1275 1188 M (most one EHM.)[36 23 20 12 12 23 23 23 12 28 30 35 0]xS
2150 1275 1286 M (Formally, a CHM is defined as follows.)[26 23 14 36 23 10 10 21 12 12 23 12 30 30 35 12 10 20 12 23 23 13 10 23 23 23 12 23 20 12 13 23
2151 10 10 23 29 20 0]xS
2152 1275 1387 M (CHM = EHM)[30 30 35 12 25 12 28 30 0]xS
2153 F0S1B Ji
2154 1512 1366 M (1)S
2155 F0S2A Ji
2156 1527 1387 M (||EHM)[11 11 28 30 0]xS
2157 F0S1B Ji
2158 1642 1366 M (2)S
2159 F0S2A Ji
2160 1657 1387 M (||...||EHM)[11 11 12 12 12 11 11 28 30 0]xS
2161 F0S1B Ji
2162 1830 1366 M (n)S
2163 F0S2A Ji
2164 1845 1387 M (= \(Q,)[25 12 14 33 0]xS
2165 F4S2A Ji
2166 1941 1387 M (S)S
2167 F0S2A Ji
2168 1967 1387 M (, D, I, E, \(q)[12 12 30 12 12 12 12 12 28 12 12 14 0]xS
2169 F0S1B Ji
2170 2170 1393 M (0)S
2171 F0S2A Ji
2172 2185 1387 M (, x)[12 12 0]xS
2173 F0S1B Ji
2174 2231 1393 M (0)S
2175 F0S2A Ji
2176 2246 1387 M (\)\),)[14 14 0]xS
2177 1275 1485 M (where)[29 23 23 14 0]xS
2178 1275 1586 M (1.)[23 0]xS
2179 1310 1586 M ( )S
2180 1350 1586 M (Q = Q)[33 12 25 12 0]xS
2181 F0S1B Ji
2182 1465 1565 M (1 )[15 0]xS
2183 F4S2A Ji
2184 1488 1586 M <B4>S
2185 F0S2A Ji
2186 1511 1586 M ( Q)[12 0]xS
2187 F0S1B Ji
2188 1556 1565 M (2 )[15 0]xS
2189 F4S2A Ji
2190 1579 1586 M <B4>S
2191 F0S2A Ji
2192 1602 1586 M <2085>[12 0]xS
2193 F4S2A Ji
2194 1656 1586 M <B4>S
2195 F0S2A Ji
2196 1679 1586 M ( Q)[12 0]xS
2197 F0S1B Ji
2198 1724 1565 M (n)S
2199 F0S2A Ji
2200 1739 1586 M ( is the set of configurations;)[12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 0]xS
2201 1275 1687 M (2.)[23 0]xS
2202 1310 1687 M ( )S
2203 F4S2A Ji
2204 1350 1687 M (S)S
2205 F0S2A Ji
2206 1376 1687 M ( = )[12 25 0]xS
2207 F4S2A Ji
2208 1425 1687 M (S)S
2209 F0S1B Ji
2210 1451 1666 M (1 )[15 0]xS
2211 F4S2A Ji
2212 1474 1687 M <C8>S
2213 F0S2A Ji
2214 1506 1687 M ( )S
2215 F4S2A Ji
2216 1518 1687 M (S)S
2217 F0S1B Ji
2218 1544 1666 M (2 )[15 0]xS
2219 F4S2A Ji
2220 1567 1687 M <C8>S
2221 F0S2A Ji
2222 1599 1687 M <2085>[12 0]xS
2223 F4S2A Ji
2224 1653 1687 M <C8>S
2225 F0S2A Ji
2226 1685 1687 M ( )S
2227 F4S2A Ji
2228 1697 1687 M (S)S
2229 F0S1B Ji
2230 1723 1666 M (n)S
2231 F0S2A Ji
2232 1738 1687 M ( is the set of events;)[12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 23 23 23 23 12 20 0]xS
2233 1275 1788 M (3.)[23 0]xS
2234 1310 1788 M ( )S
2235 1350 1788 M (D = {d)[30 18 25 18 14 0]xS
2236 F0S1B Ji
2237 1478 1794 M (q )[15 0]xS
2238 F0S2A Ji
2239 1507 1788 M (= \(x)[25 18 14 0]xS
2240 F0S1B Ji
2241 1586 1794 M (q)S
2242 F0S2A Ji
2243 1601 1788 M (, y)[12 18 0]xS
2244 F0S1B Ji
2245 1652 1794 M (q)S
2246 F0S2A Ji
2247 1667 1788 M (, u)[12 18 0]xS
2248 F0S1B Ji
2249 1720 1794 M (q)S
2250 F0S2A Ji
2251 1735 1788 M (, f)[12 18 0]xS
2252 F0S1B Ji
2253 1778 1794 M (q)S
2254 F0S2A Ji
2255 1793 1788 M (, h)[12 18 0]xS
2256 F0S1B Ji
2257 1846 1794 M (q)S
2258 F0S2A Ji
2259 1861 1788 M (\): q=<q)[14 12 18 23 25 25 0]xS
2260 F0S1B Ji
2261 2001 1767 M (1)S
2262 F0S2A Ji
2263 2016 1788 M (, q)[12 18 0]xS
2264 F0S1B Ji
2265 2069 1767 M (2)S
2266 F0S2A Ji
2267 2084 1788 M (, \205, q)[12 18 42 12 18 0]xS
2268 F0S1B Ji
2269 2209 1767 M (n)S
2270 F0S2A Ji
2271 2224 1788 M (>)S
2272 F4S2A Ji
2273 2249 1788 M <CE>S
2274 F0S2A Ji
2275 2278 1788 M (Q})[33 0]xS
2276 1350 1836 M (combines all the dynamics of q)[21 23 36 23 10 23 23 20 12 23 10 10 12 12 23 23 12 23 21 23 23 36 10 21 20 12 23 13 12 0]xS
2277 F0S1B Ji
2278 1926 1815 M (1)S
2279 F0S2A Ji
2280 1941 1836 M (, q)[12 12 0]xS
2281 F0S1B Ji
2282 1988 1815 M (2)S
2283 F0S2A Ji
2284 2003 1836 M (, \205, q)[12 12 42 12 12 0]xS
2285 F0S1B Ji
2286 2116 1815 M (n)S
2287 F0S2A Ji
2288 2131 1836 M (;)S
2289 1275 1937 M (4.)[23 0]xS
2290 1310 1937 M ( )S
2291 1350 1937 M (I = { I)[12 13 25 13 14 14 0]xS
2292 F0S1B Ji
2293 1453 1943 M (q )[15 0]xS
2294 F0S2A Ji
2295 1478 1937 M (= I)[25 14 0]xS
2296 F0S1B Ji
2297 1529 1943 M (q1)[15 0]xS
2298 F0S2A Ji
2299 1559 1937 M ( )S
2300 F4S2A Ji
2301 1573 1937 M <D9>S
2302 F0S2A Ji
2303 1599 1937 M ( I)[14 0]xS
2304 F0S1B Ji
2305 1625 1943 M (q2)[15 0]xS
2306 F0S2A Ji
2307 1655 1937 M ( )S
2308 F4S2A Ji
2309 1669 1937 M <D9>S
2310 F0S2A Ji
2311 1695 1937 M ( \205 )[14 42 0]xS
2312 F4S2A Ji
2313 1765 1937 M <D9>S
2314 F0S2A Ji
2315 1791 1937 M ( I)[14 0]xS
2316 F0S1B Ji
2317 1817 1943 M (qn)[15 0]xS
2318 F0S2A Ji
2319 1847 1937 M (: q=<q)[12 14 23 25 25 0]xS
2320 F0S1B Ji
2321 1969 1916 M (1)S
2322 F0S2A Ji
2323 1984 1937 M (, q)[12 14 0]xS
2324 F0S1B Ji
2325 2033 1916 M (2)S
2326 F0S2A Ji
2327 2048 1937 M (, \205, q)[12 14 42 12 14 0]xS
2328 F0S1B Ji
2329 2165 1916 M (n)S
2330 F0S2A Ji
2331 2180 1937 M (>)S
2332 F4S2A Ji
2333 2205 1937 M <CE>S
2334 F0S2A Ji
2335 2234 1937 M (Q} is)[33 14 14 10 0]xS
2336 1350 1985 M (the invariant;)[12 23 23 12 10 23 23 23 14 10 23 23 12 0]xS
2337 1275 2083 M (5.)[23 0]xS
2338 1310 2083 M ( )S
2339 1350 2083 M (E is the set of edges or transitions, described below.)[28 12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 23 23 23 23 20 12 23 14 12 12 14 23 23 20 10 12
2340 10 23 23 20 12 12 23 23 20 21 14 10 23 23 23 12 23 23 10 23 29 0]xS
2341 1275 2181 M (6.)[23 0]xS
2342 1310 2181 M ( )S
2343 1350 2181 M (\(q)[14 0]xS
2344 F0S1B Ji
2345 1387 2187 M (0)S
2346 F0S2A Ji
2347 1402 2181 M (,x)[12 0]xS
2348 F0S1B Ji
2349 1436 2187 M (0)S
2350 F0S2A Ji
2351 1451 2181 M (\) = \(<q)[14 14 25 14 14 25 0]xS
2352 F0S1B Ji
2353 1580 2187 M (0)S
2354 1595 2160 M (1)S
2355 F0S2A Ji
2356 1610 2181 M (, q)[12 14 0]xS
2357 F0S1B Ji
2358 1659 2187 M (0)S
2359 1674 2160 M (2)S
2360 F0S2A Ji
2361 1689 2181 M (, \205, q)[12 14 42 12 14 0]xS
2362 F0S1B Ji
2363 1806 2187 M (0)S
2364 1821 2160 M (n)S
2365 F0S2A Ji
2366 1836 2181 M (>, \(x)[25 12 14 14 0]xS
2367 F0S1B Ji
2368 1923 2187 M (0)S
2369 1938 2160 M (1)S
2370 F0S2A Ji
2371 1953 2181 M (, x)[12 14 0]xS
2372 F0S1B Ji
2373 2001 2187 M (0)S
2374 2016 2160 M (2)S
2375 F0S2A Ji
2376 2031 2181 M (, \205, x)[12 15 42 12 15 0]xS
2377 F0S1B Ji
2378 2149 2187 M (0)S
2379 2164 2160 M (n)S
2380 F0S2A Ji
2381 2179 2181 M (\)\) is the)[14 14 15 10 20 15 12 23 0]xS
2382 1350 2229 M (initial condition.)[10 23 10 12 10 23 10 12 21 23 23 23 10 12 10 23 23 0]xS
2383 1275 2327 M (The transitions in the CHM can also be derived from the)[26 23 23 13 12 14 23 23 20 10 12 10 23 23 20 13 10 23 13 12 23 23 13 30 30 35 13 21 23 23 13 23
2384 10 20 23 13 23 23 13 23 23 14 10 23 23 23 13 13 14 23 36 13 12 23 0]xS
2385 1275 2375 M (EHMs. In general, the transitions can either be)[28 30 35 20 12 30 30 12 23 30 23 23 23 23 14 23 10 12 30 30 12 23 23 30 12 14 23 23 20 10 12 10
2386 23 23 20 31 21 23 23 31 23 10 12 23 23 14 31 23 0]xS
2387 1275 2423 M (triggered by an input event from the environment or by)[12 14 10 23 23 23 14 23 23 15 23 21 15 23 23 16 10 23 23 23 12 16 23 23 23 23 12 16 13 14 23 36
2388 16 12 23 23 16 23 23 23 10 14 23 23 36 23 23 12 16 23 14 16 23 0]xS
2389 1275 2471 M (a dynamic transition in one of the EHMs. Note that one)[23 13 23 21 23 23 36 10 21 13 12 14 23 23 20 10 12 10 23 23 14 10 23 14 23 23 23 14 23 13 14 12
2390 23 23 14 28 30 35 20 12 14 14 30 23 12 23 14 12 23 23 12 14 23 23 0]xS
2391 1275 2519 M (transition in an EHM can trigger other transitions in other)[12 14 23 23 20 10 12 10 23 23 12 10 23 12 23 23 12 28 30 35 12 21 23 23 12 12 14 10 23 23 23 14
2392 12 23 12 23 23 14 12 12 14 23 23 20 10 12 10 23 23 20 12 10 23 13 23 12 23 23 0]xS
2393 1275 2567 M (EHMs.)[28 30 35 20 0]xS
2394 F0S1B Ji
2395 1400 2546 M (5)S
2396 F0S2A Ji
2397 1415 2567 M ( Therefore, a transition in the CHM may consist)[14 14 26 23 23 14 23 13 23 14 23 12 14 23 14 12 14 23 23 20 10 12 10 23 23 14 10 23 14 12 23 23
2398 14 30 30 35 15 36 23 21 15 21 23 23 20 10 20 0]xS
2399 1275 2615 M (of a logically triggered finite chain of transitions in the)[23 13 18 23 18 10 23 23 10 21 23 10 10 21 18 12 14 10 23 23 23 14 23 23 18 13 10 23 10 12 23 19
2400 21 23 23 10 23 19 23 13 19 12 14 23 23 20 10 12 10 23 23 20 19 10 23 19 12 23 0]xS
2401 1275 2663 M (EHMs. These transitions are considered to occur)[28 30 35 20 12 31 31 26 23 23 20 23 31 12 14 23 23 20 10 12 10 23 23 20 31 23 14 23 32 21 23 23
2402 20 10 23 23 14 23 23 32 12 23 32 23 21 21 23 0]xS
2403 1275 2711 M (instantaneously and concurrent vertex changes in the)[10 23 20 12 23 23 12 23 23 23 23 23 20 10 21 21 23 23 23 22 21 23 23 21 23 14 14 23 23 12 22 23
2404 23 14 12 23 22 22 21 23 23 23 23 23 20 22 10 23 22 12 23 0]xS
2405 1275 2759 M (EHMs occur at exactly the same instant.)[28 30 35 20 12 23 21 21 23 14 12 23 12 12 23 22 23 21 12 10 21 12 12 23 23 12 20 23 36 23 12 10
2406 23 20 12 23 23 12 0]xS
2407 1275 2857 M (For the interrupt latency compatibility problem, however,)[26 23 14 12 12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 21 23 36 23 23 12
2408 10 23 10 10 10 12 21 13 23 14 23 23 10 23 36 12 13 23 23 29 23 23 23 14 0]xS
2409 1275 2905 M (we can assume that the system is closed or self-)[29 23 28 21 23 23 28 23 20 20 23 36 23 29 12 23 23 12 29 12 23 23 29 20 21 20 12 23 36 29 10 20
2410 29 21 10 23 20 23 23 29 23 14 29 20 23 10 13 0]xS
2411 1275 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2412 1635 2964 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2413 : N 1275 2953 600 2 rp C
2414 L ; F0S1B Ji
2415 1275 2991 M (5)S
2416 F0S2A Ji
2417 1290 3012 M ( We assume that there is no infinite chain of transitions,)[12 42 23 12 23 20 20 23 36 23 12 12 23 23 12 12 12 23 23 14 23 12 10 20 12 23 23 12 10 23 13 10
2418 23 10 12 23 12 21 23 23 10 23 12 23 13 12 12 14 23 23 20 10 12 10 23 23 20 0]xS
2419 1275 3060 M (as this will lead to a Zeno system \(see [)[23 20 12 12 23 10 20 12 29 10 10 10 12 10 23 23 23 12 12 23 12 23 12 26 23 23 23 12 20 21 20 12
2420 23 36 12 14 20 23 23 12 0]xS
2421 2006 3060 M (6)S
2422 2029 3060 M (]\).)[12 14 0]xS
2423 LH
2424 (%%[Page: 4]%%) =
2425 %%PageTrailer
2426
2427 %%Page: 5 5
2428 %%PageBoundingBox: 18 8 593 784
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2430 %%BeginPageSetup
2431 /DeviceRGB dup setcolorspace /colspABC exch def
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2434
2435 0 0 0 1 scol 1185 3158 M (5)S
2436 75 156 M (contained)[21 23 23 12 23 10 23 23 0]xS
2437 F0S1B Ji
2438 256 135 M (6)S
2439 F0S2A Ji
2440 271 156 M (. Therefore transitions in the CHM are always)[12 14 26 23 23 14 23 13 23 14 23 14 12 14 23 23 20 10 12 10 23 23 20 14 10 23 14 12 23 23 14 30
2441 30 35 14 23 14 23 14 23 10 29 23 21 0]xS
2442 75 204 M (triggered by dynamics in one of the EHMs. We denote)[12 14 10 23 23 23 14 23 23 16 23 21 16 23 21 23 23 36 10 21 20 17 10 23 17 23 23 23 17 23 13 17
2443 12 23 23 17 28 30 35 20 12 17 42 23 17 23 23 23 23 12 0]xS
2444 75 252 M (these transitions by a triple)[12 23 23 20 23 12 12 14 23 23 20 10 12 10 23 23 20 12 23 21 12 23 12 12 14 10 23 10 0]xS
2445 75 350 M ( )S
2446 225 350 M (\(q,G, q'\))[14 23 12 33 12 12 23 8 0]xS
2447 376 350 M ( = \(<q)[12 25 12 14 25 0]xS
2448 F0S1B Ji
2449 487 329 M (1)S
2450 F0S2A Ji
2451 502 350 M (, q)[12 12 0]xS
2452 F0S1B Ji
2453 549 329 M (2)S
2454 F0S2A Ji
2455 564 350 M (, \205, q)[12 12 42 12 12 0]xS
2456 F0S1B Ji
2457 677 329 M (n)S
2458 F0S2A Ji
2459 692 350 M (>,G, <q')[25 12 33 12 12 25 23 0]xS
2460 F0S1B Ji
2461 842 329 M (1)S
2462 F0S2A Ji
2463 857 350 M (, q')[12 12 23 0]xS
2464 F0S1B Ji
2465 912 329 M (2)S
2466 F0S2A Ji
2467 927 350 M (, \205, q')[12 12 42 12 12 23 0]xS
2468 F0S1B Ji
2469 1048 329 M (n)S
2470 F0S2A Ji
2471 1063 350 M (>\))[25 0]xS
2472 75 448 M (where q=<q)[29 23 23 14 23 22 23 25 25 0]xS
2473 F0S1B Ji
2474 305 427 M (1)S
2475 F0S2A Ji
2476 320 448 M (, q)[12 23 0]xS
2477 F0S1B Ji
2478 378 427 M (2)S
2479 F0S2A Ji
2480 393 448 M (, \205, q)[12 23 42 12 23 0]xS
2481 F0S1B Ji
2482 528 427 M (n)S
2483 F0S2A Ji
2484 543 448 M (> is the source configuration,)[25 23 10 20 23 12 23 23 23 20 23 23 14 21 23 23 21 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
2485 75 496 M (q'=<q')[23 8 25 25 23 0]xS
2486 F0S1B Ji
2487 187 475 M (1)S
2488 F0S2A Ji
2489 202 496 M (, q')[12 15 23 0]xS
2490 F0S1B Ji
2491 260 475 M (2)S
2492 F0S2A Ji
2493 275 496 M (, \205, q')[12 15 42 12 15 23 0]xS
2494 F0S1B Ji
2495 402 475 M (n)S
2496 F0S2A Ji
2497 417 496 M (> the target configuration, and G is a)[25 15 12 23 23 15 12 23 14 23 23 12 16 21 23 23 13 10 23 23 14 23 12 10 23 23 12 16 23 23 23 16
2498 33 16 10 20 16 0]xS
2499 75 544 M (guard. To have such a transition, there must exist a)[23 23 23 14 23 12 22 26 23 22 23 23 23 23 22 20 23 21 23 22 23 23 12 14 23 23 20 10 12 10 23 23
2500 12 23 12 23 23 14 23 23 36 23 20 12 23 23 22 10 20 12 23 0]xS
2501 75 595 M (transition \(q)[12 14 23 23 20 10 12 10 23 23 25 14 0]xS
2502 F0S1B Ji
2503 307 574 M (m)S
2504 F0S2A Ji
2505 329 595 M (, G)[12 25 0]xS
2506 F4S2A Ji
2507 399 595 M <AE>S
2508 440 595 M (s)S
2509 F0S2A Ji
2510 465 595 M (', q')[8 12 25 23 0]xS
2511 F0S1B Ji
2512 541 574 M (m)S
2513 F0S2A Ji
2514 563 595 M (, x)[12 25 0]xS
2515 F0S1B Ji
2516 622 601 M (q'm)[15 5 0]xS
2517 664 574 M (0)S
2518 F0S2A Ji
2519 679 595 M (\) in some EHM)[14 25 10 23 25 20 23 36 23 25 28 30 0]xS
2520 F0S1B Ji
2521 996 574 M (m)S
2522 F0S2A Ji
2523 1018 595 M (, that)[12 25 12 23 23 0]xS
2524 75 643 M (triggers the transition. Note that for simplicity, we do not)[12 14 10 23 23 23 14 20 13 12 23 23 13 12 14 23 23 20 10 12 10 23 23 12 13 30 23 12 23 13 12 23
2525 23 12 14 13 23 14 14 20 10 36 23 10 10 21 10 12 21 12 14 29 23 14 23 23 14 23 23 0]xS
2526 75 691 M (write the output events and initial conditions, they are)[29 14 10 12 23 19 12 23 23 19 23 23 12 23 23 12 20 23 23 23 23 12 20 20 23 23 23 20 10 23 10 12
2527 10 23 10 20 21 23 23 23 10 12 10 23 23 20 12 20 12 23 23 21 20 23 14 0]xS
2528 75 739 M (inferred from the EHMs.)[10 23 13 23 14 14 23 23 12 13 14 23 36 12 12 23 23 12 28 30 35 20 0]xS
2529 75 837 M (We use EHMs to model ISs and ISRs. The overall)[42 23 25 23 20 23 25 28 30 35 20 25 12 23 25 36 23 23 23 10 25 12 28 20 25 23 23 23 25 12 28 30
2530 20 12 26 26 23 23 26 23 23 23 14 23 10 0]xS
2531 75 885 M (system is then described by the CHM. Since the above)[20 21 20 12 23 36 14 10 20 14 12 23 23 23 14 23 23 20 21 14 10 23 23 23 14 23 21 14 12 23 23 14
2532 30 30 35 12 14 14 28 10 23 21 23 14 12 23 23 14 23 23 23 23 0]xS
2533 75 933 M (construction of a CHM from EHMs can be implemented)[21 23 23 20 12 14 23 21 12 10 23 23 14 23 13 14 23 14 30 30 35 15 13 14 23 36 15 28 30 35 20 15
2534 21 23 23 15 23 23 15 10 36 23 10 23 36 23 23 12 23 0]xS
2535 75 981 M (automatically by a computer, a designer need only)[23 23 12 23 36 23 12 10 21 23 10 10 21 28 23 21 28 23 28 21 23 36 23 23 12 23 14 12 28 23 28 23
2536 23 20 10 23 23 23 14 29 23 23 23 23 29 23 23 10 0]xS
2537 75 1029 M (specify the EHMs. For the systems we have)[20 23 23 21 10 13 21 39 12 23 23 40 28 30 35 20 12 40 40 26 23 14 40 12 23 23 40 20 21 20 12 23
2538 36 20 40 29 23 40 23 23 23 0]xS
2539 75 1077 M (considered, the number of vertices in EHMs describing)[21 23 23 20 10 23 23 14 23 23 12 16 12 23 23 16 23 23 36 23 23 14 17 23 13 17 23 23 14 12 10 21
2540 23 20 17 10 23 17 28 30 35 20 17 23 23 20 21 14 10 23 10 23 0]xS
2541 75 1125 M (ISs is usually between 5 and 10. The EHM describing)[12 28 20 18 10 20 18 23 20 23 23 10 10 21 19 23 23 12 29 23 23 23 19 23 19 23 23 23 19 23 23 12
2542 19 26 23 23 19 28 30 35 19 23 23 20 21 14 10 23 10 23 0]xS
2543 75 1173 M (the SS may contain far more vertices, but there is only)[12 23 23 15 28 28 15 36 23 21 15 21 23 23 12 23 10 23 16 13 23 14 16 36 23 14 23 16 23 23 14 12
2544 10 21 23 20 12 16 23 23 12 16 12 23 23 14 23 16 10 20 16 23 23 10 0]xS
2545 75 1221 M (one such EHM in a system.)[23 23 23 12 20 23 21 23 12 28 30 35 12 10 23 12 23 12 20 21 20 12 23 36 0]xS
2546 75 1319 M (To specify interrupt latency requirements, we identify an)[26 23 13 20 23 23 21 10 13 21 13 10 23 12 23 14 14 23 23 12 13 10 23 12 23 23 21 21 13 14 23 23
2547 23 10 14 23 36 23 23 12 20 12 14 29 23 14 10 23 23 23 12 10 13 21 14 23 0]xS
2548 75 1367 M (illegal vertex in each EHM model of an IS. In other)[10 10 10 23 23 23 10 20 23 23 14 12 23 22 20 10 23 21 23 23 21 23 21 28 30 35 21 36 23 23 23 10
2549 21 23 13 21 23 23 21 12 28 12 21 21 12 23 21 23 12 23 23 0]xS
2550 75 1415 M (words, when the exhibited interrupt latency exceeds a)[29 23 14 23 20 12 19 29 23 23 23 20 12 23 23 20 23 22 23 10 23 10 12 23 23 20 10 23 12 23 14 14
2551 23 23 12 20 10 23 12 23 23 21 21 20 23 22 21 23 23 23 20 20 0]xS
2552 75 1463 M (given bound, the EHM will enter the vertex labeled)[23 10 23 23 23 25 23 23 23 23 23 12 25 12 23 23 26 28 30 35 26 29 10 10 10 26 23 23 12 23 14 26
2553 12 23 23 26 23 23 14 12 23 22 26 10 23 23 23 10 23 0]xS
2554 F2S2A Ji
2555 75 1511 M (illegal)[9 9 9 23 23 23 0]xS
2556 F0S2A Ji
2557 180 1511 M ( via a dynamic transition guarded by G=[t>b],)[27 23 10 23 27 23 27 23 21 23 23 36 10 21 27 12 14 23 23 20 10 12 10 23 23 27 23 23 23 14 23 23
2558 23 27 23 21 27 33 25 12 12 25 23 12 0]xS
2559 75 1560 M (where )[29 23 23 14 23 0]xS
2560 F2S2A Ji
2561 201 1560 M (t)S
2562 F0S2A Ji
2563 213 1560 M ( is the waiting time and )[14 10 20 14 12 23 23 14 29 23 10 12 10 23 23 14 12 10 36 23 15 23 23 23 0]xS
2564 F2S2A Ji
2565 667 1560 M (b)S
2566 F0S2A Ji
2567 690 1560 M ( is the given bound. A)[15 10 20 15 12 23 23 15 23 10 23 23 23 15 23 23 23 23 23 12 15 15 0]xS
2568 75 1609 M (configuration in the CHM is illegal if at least one of its)[21 23 23 13 10 23 23 14 23 12 10 23 23 17 10 23 17 12 23 23 17 30 30 35 17 10 20 17 10 10 10 23
2569 23 23 10 17 10 13 17 23 12 18 10 23 23 20 12 18 23 23 23 18 23 13 18 10 12 0]xS
2570 75 1657 M (vertices is illegal. The set of illegal configurations is)[23 23 14 12 10 21 23 20 21 10 20 21 10 10 10 23 23 23 10 12 21 21 26 23 23 21 20 23 12 21 23 13
2571 21 10 10 10 23 23 23 10 21 21 23 23 13 10 23 23 14 23 12 10 23 23 20 22 10 0]xS
2572 75 1714 M (denoted by Q)[23 23 23 23 12 23 23 43 23 21 43 0]xS
2573 F0S1F Ji
2574 388 1720 M (b)S
2575 F0S2A Ji
2576 405 1714 M (. Clearly, the interrupt latency)[12 44 44 30 10 23 23 14 10 21 12 44 12 23 23 44 10 23 12 23 14 14 23 23 12 44 10 23 12 23 23 21
2577 0]xS
2578 75 1764 M (requirements will be violated in some runs of the system)[14 23 23 23 10 14 23 36 23 23 12 20 12 29 10 10 10 12 23 23 12 23 10 23 10 23 12 23 23 12 10 23
2579 13 20 23 36 23 13 14 23 23 20 13 23 13 13 12 23 23 13 20 21 20 12 23 0]xS
2580 75 1812 M (if and only if at least one illegal configuration can be)[10 13 20 23 23 23 20 23 23 10 21 20 10 13 20 23 12 20 10 23 23 20 12 20 23 23 23 20 10 10 10 23
2581 23 23 10 21 21 23 23 13 10 23 23 14 23 12 10 23 23 21 21 23 23 21 23 0]xS
2582 75 1860 M (reached from the initial configuration.)[14 23 23 21 23 23 23 12 13 14 23 36 12 12 23 23 12 10 23 10 12 10 23 10 12 21 23 23 13 10 23 23
2583 14 23 12 10 23 23 0]xS
2584 F1S2A Ji
2585 75 2057 M (MODELING OF MICROPROCESSOR SYSTEMS)[35 33 30 28 26 12 30 33 12 33 26 12 35 12 30 30 33 28 30 33 30 28 28 28 33 30 12 28 28 28 27 28
2586 35 0]xS
2587 F0S2A Ji
2588 75 2156 M (This section outlines the modeling of microprocessor)[26 23 10 20 24 20 23 21 12 10 23 23 24 23 23 12 10 10 23 23 20 24 12 23 23 24 36 23 23 23 10 10
2589 23 23 24 23 13 25 36 10 21 14 23 23 14 23 21 23 20 20 23 0]xS
2590 75 2204 M (systems. The goal of modeling is to model the system)[20 21 20 12 23 36 20 12 15 15 26 23 23 16 23 23 23 10 16 23 13 16 36 23 23 23 10 10 23 23 16 10
2591 20 16 12 23 16 36 23 23 23 10 16 12 23 23 16 20 21 20 12 23 0]xS
2592 75 2252 M (as a collection of EHMs, which can then be combined to)[23 20 13 23 13 21 23 10 10 23 21 12 10 23 23 13 23 13 13 28 30 35 20 12 13 29 23 10 21 23 13 21
2593 23 23 13 12 23 23 23 13 23 23 13 21 23 36 23 10 23 23 23 13 12 0]xS
2594 75 2300 M (obtain a CHM, and the CHM can be checked for the)[23 23 12 23 10 23 20 23 20 30 30 35 12 21 23 23 23 21 12 23 23 21 30 30 35 21 21 23 23 21 23 23
2595 21 21 23 23 21 21 23 23 21 13 23 14 21 12 23 0]xS
2596 75 2348 M (reachability of illegal configurations. An EHM timing)[14 23 23 21 23 23 23 10 10 10 12 21 23 23 13 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14
2597 23 12 10 23 23 20 12 23 23 28 23 23 28 30 35 23 12 10 36 10 23 0]xS
2598 75 2396 M (model of a microprocessor system with ISs and ISRs)[36 23 23 23 10 20 23 13 20 23 21 36 10 21 14 23 23 14 23 21 23 20 20 23 14 21 20 21 20 12 23 36
2599 21 29 10 12 23 21 12 28 20 21 23 23 23 21 12 28 30 0]xS
2600 75 2444 M (must involve separate EHMs for each IS as well as a)[36 23 20 12 18 10 23 23 23 10 23 23 19 20 23 23 23 14 23 12 23 19 28 30 35 20 19 13 23 14 19 23
2601 23 21 23 19 12 28 19 23 20 19 29 23 10 10 19 23 20 19 0]xS
2602 75 2492 M (separate EHM for the SS. The reason for this modeling)[20 23 23 23 14 23 12 23 13 28 30 35 13 13 23 14 13 12 23 23 13 28 28 12 14 14 26 23 23 14 14 23
2603 23 20 23 23 14 13 23 14 14 12 23 10 20 14 36 23 23 23 10 10 23 0]xS
2604 75 2540 M (requirement is that, except for certain events which)[14 23 23 23 10 14 23 36 23 23 12 26 10 20 26 12 23 23 12 12 26 23 22 21 23 23 12 26 13 23 14 26
2605 21 23 14 12 23 10 23 27 23 23 23 23 12 20 27 29 23 10 21 0]xS
2606 75 2588 M (force synchronization between separate EHMs, each IS)[13 23 14 21 23 15 20 21 23 21 23 14 23 23 10 21 23 12 10 23 23 15 23 23 12 29 23 23 23 16 20 23
2607 23 23 14 23 12 23 16 28 30 35 20 12 16 23 23 21 23 16 12 0]xS
2608 75 2675 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2609 435 2675 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
2610 : N 75 2664 600 2 rp C
2611 L ; F0S1B Ji
2612 75 2702 M (6)S
2613 F0S2A Ji
2614 90 2723 M ( This assumption significantly simplifies the reachability)[12 26 23 10 20 12 23 20 20 23 36 23 12 10 23 23 12 20 10 23 23 10 13 10 21 23 23 12 10 21 12 20
2615 10 36 23 10 10 13 10 23 20 12 12 23 23 12 14 23 23 21 23 23 23 10 10 10 12 0]xS
2616 75 2771 M (algorithm to be presented, although we do have a)[23 10 23 23 14 10 12 23 36 12 12 23 12 23 23 12 23 14 23 20 23 23 12 23 23 12 12 23 10 12 23 23
2617 23 23 23 12 29 23 12 23 23 12 23 23 23 23 12 0]xS
2618 75 2819 M (second and more complex algorithm that can handle)[20 23 21 23 23 23 12 23 23 23 12 36 23 14 23 12 21 23 36 23 10 23 22 12 23 10 23 23 14 10 12 23
2619 36 12 12 23 23 12 12 21 23 23 12 23 23 23 23 10 0]xS
2620 75 2867 M (open systems. Note that this assumption is made)[23 23 23 23 12 20 21 20 12 23 36 20 12 12 12 30 23 12 23 12 12 23 23 12 12 12 23 10 20 12 23 20
2621 20 23 36 23 12 10 23 23 12 10 20 12 36 23 23 0]xS
2622 75 2915 M (without essential loss of generality, because we can)[29 10 12 23 23 23 12 12 23 20 20 23 23 12 10 23 10 12 10 23 20 20 12 23 13 12 23 23 23 23 14 23
2623 10 10 12 21 12 12 23 23 21 23 23 20 23 12 29 23 12 21 23 0]xS
2624 75 2963 M (model the environment by an additional EHM that)[36 23 23 23 10 12 12 23 23 12 23 23 23 10 14 23 23 36 23 23 12 12 23 21 12 23 23 12 23 23 23 10
2625 12 10 23 23 23 10 12 28 30 35 12 12 23 23 0]xS
2626 75 3011 M (triggers the event transitions at an arbitrary time by)[12 14 10 23 23 23 14 20 12 12 23 23 12 23 23 23 23 12 12 12 14 23 23 20 10 12 10 23 23 20 12 23
2627 12 12 23 23 12 23 14 23 10 12 14 23 14 21 12 12 10 36 23 12 23 0]xS
2628 75 3059 M (using )[23 20 10 23 23 0]xS
2629 F2S2A Ji
2630 186 3059 M (nondet\(\))[23 23 23 23 23 12 14 0]xS
2631 F0S2A Ji
2632 341 3059 M (.)S
2633 1275 156 M (and the SS may change state independently. An)[23 23 23 29 12 23 23 29 28 28 30 36 23 21 30 21 23 23 23 23 23 30 20 12 23 12 23 30 10 23 23 23
2634 23 23 23 23 23 23 12 10 21 12 30 30 28 0]xS
2635 1275 204 M (interrupt source \(such as a UART\) may change state in)[10 23 12 23 14 14 23 23 12 15 20 23 23 14 21 23 15 14 20 23 21 23 15 23 20 15 23 15 30 28 30 26
2636 14 15 36 23 21 16 21 23 23 23 23 23 16 20 12 23 12 23 16 10 0]xS
2637 1275 252 M (response to a significant event \(such as a received)[14 23 20 23 23 23 20 23 25 12 23 25 23 25 20 10 23 23 10 13 10 21 23 23 12 25 23 23 23 23 12 26
2638 14 20 23 21 23 26 23 20 26 23 26 14 23 21 23 10 23 23 0]xS
2639 1275 300 M (character or the passage of time\) without affecting other)[21 23 23 14 23 21 12 23 14 13 23 14 13 12 23 23 13 23 23 20 20 23 23 23 13 23 13 13 12 10 36 23
2640 14 14 29 10 12 23 23 23 12 14 23 13 13 23 21 12 10 23 23 14 23 12 23 23 0]xS
2641 1275 348 M (ISs or the SS. Software, of course, may change state)[12 28 20 17 23 14 17 12 23 23 17 28 28 12 17 17 28 23 13 12 29 23 14 23 12 17 23 13 17 21 23 23
2642 14 20 23 12 17 36 23 21 18 21 23 23 23 23 23 18 20 12 23 12 0]xS
2643 1275 396 M (without affecting any IS.)[29 10 12 23 23 23 12 12 23 13 13 23 21 12 10 23 23 12 23 23 21 12 12 28 0]xS
2644 1275 494 M (Before we describe modeling in detail, we need to clarify)[28 23 13 23 14 23 12 29 23 12 23 23 20 21 14 10 23 23 12 36 23 23 23 10 10 23 23 12 10 23 12 23
2645 23 12 23 10 10 12 12 29 23 12 23 23 23 23 12 12 23 13 21 10 23 14 10 13 0]xS
2646 1275 542 M (two subtle modeling points. First, the AIL is not a)[12 29 23 25 20 23 23 12 10 23 25 36 23 23 23 10 10 23 23 25 23 23 10 23 12 20 12 25 25 26 10 14
2647 20 12 12 26 12 23 23 26 28 12 23 26 10 20 26 23 23 12 26 0]xS
2648 1275 590 M (constant \(it varies with the state of the system\); and)[21 23 23 20 12 23 23 12 22 14 10 12 22 23 23 14 10 23 20 22 29 10 12 23 22 12 23 23 22 20 12 23
2649 12 23 22 23 13 23 12 23 23 23 20 21 20 12 23 36 14 12 23 23 23 0]xS
2650 1275 638 M (second, the AIL will not appear explicitly in any EHM.)[20 23 21 23 23 23 12 12 12 23 23 12 28 12 23 12 29 10 10 10 12 23 23 12 12 23 23 23 23 23 14 12
2651 23 22 23 10 10 21 10 12 10 21 12 10 23 12 23 23 21 12 28 30 35 0]xS
2652 1275 736 M (Up to this point, we have described the AIL as if it were)[30 23 14 12 23 14 12 23 10 20 14 23 23 10 23 12 12 14 29 23 14 23 23 23 23 14 23 23 20 21 14 10
2653 23 23 23 14 12 23 23 14 28 12 23 15 23 20 15 10 13 15 10 12 15 29 23 14 0]xS
2654 1275 784 M (a constant. In practice, the AIL will change with the)[23 21 21 23 23 20 12 23 23 12 12 21 21 12 23 21 23 14 23 21 12 10 21 23 12 22 12 23 23 22 28 12
2655 23 22 29 10 10 10 22 21 23 23 23 23 23 22 29 10 12 23 22 12 23 0]xS
2656 1275 832 M (state of the system. Consider a free-running 16-bit)[20 12 23 12 23 25 23 13 25 12 23 23 25 20 21 20 12 23 36 12 25 25 30 23 23 20 10 23 23 14 25 23
2657 26 13 14 23 23 14 14 23 23 23 10 23 23 26 23 23 14 23 10 0]xS
2658 1275 880 M (counter \(i.e. a timer\) which is interfaced to the SS so)[21 23 23 23 12 23 14 19 14 10 12 23 12 19 23 19 12 10 36 23 14 14 19 29 23 10 21 23 19 10 20 20
2659 10 23 12 23 14 13 23 21 23 23 20 12 23 20 12 23 23 20 28 28 20 20 0]xS
2660 1275 928 M (that it generates an interrupt and causes execution of)[12 23 23 12 19 10 12 20 23 23 23 23 14 23 12 23 20 20 23 23 20 10 23 12 23 14 14 23 23 12 20 23
2661 23 23 20 21 23 23 20 23 20 20 23 22 23 21 23 12 10 23 23 20 23 0]xS
2662 1275 976 M (the same ISR \(a\)when the counter reaches the value of)[12 23 23 14 20 23 36 23 14 12 28 30 14 14 23 14 29 23 23 23 14 12 23 23 15 21 23 23 23 12 23 14
2663 15 14 23 23 21 23 23 20 15 12 23 23 15 23 23 10 23 23 15 23 0]xS
2664 1275 1024 M (F000)[26 23 23 0]xS
2665 F0S1B Ji
2666 1370 1030 M (16)[15 0]xS
2667 F0S2A Ji
2668 1400 1024 M (; and \(b\)when the counter rolls over from FFFF)[12 14 23 23 23 14 14 23 14 29 23 23 23 15 12 23 23 15 21 23 23 23 12 23 14 15 14 23 10 10 20 15
2669 23 23 23 14 15 13 14 23 36 15 26 26 26 0]xS
2670 F0S1B Ji
2671 2295 1030 M (16)[15 0]xS
2672 F0S2A Ji
2673 1275 1072 M (to 0000)[12 23 22 23 23 23 0]xS
2674 F0S1B Ji
2675 1424 1078 M (16)[15 0]xS
2676 F0S2A Ji
2677 1454 1072 M (. Depending on how this IS is used in the)[12 22 22 30 23 23 23 23 23 10 23 23 22 23 23 22 23 23 29 22 12 23 10 20 22 12 28 22 10 20 22 23
2678 20 23 23 23 10 23 23 12 23 0]xS
2679 1275 1120 M (system, there may be the requirement that the ISR)[20 21 20 12 23 36 12 25 12 23 23 14 23 25 36 23 21 25 23 23 26 12 23 23 26 14 23 23 23 10 14 23
2680 36 23 23 12 26 12 23 23 12 26 12 23 23 26 12 28 0]xS
2681 1275 1168 M (complete before the hardware interrupt is asserted)[21 23 36 23 10 23 12 23 31 23 23 13 23 14 23 31 12 23 23 31 23 23 14 23 29 23 14 23 31 10 23 12
2682 23 14 14 23 23 12 32 10 20 32 23 20 20 23 14 12 23 0]xS
2683 1275 1216 M (again. In this example, this would imply that half of the)[23 23 23 10 23 12 14 14 12 23 14 12 23 10 20 14 23 22 23 36 23 10 23 12 14 12 23 10 20 14 29 23
2684 23 10 23 14 10 36 23 10 21 15 12 23 23 12 15 23 23 10 13 15 23 13 15 12 23 0]xS
2685 1275 1264 M (time when the interrupt is asserted, a relatively short AIL)[12 10 36 23 12 29 23 23 23 12 12 23 23 12 10 23 12 23 14 14 23 23 12 12 10 20 12 23 20 20 23 14
2686 12 23 23 12 13 23 13 14 23 10 23 12 10 23 23 10 21 13 20 23 23 14 12 13 28 12 0]xS
2687 1275 1312 M (is involved \(on the order of 0FFF)[10 20 17 10 23 23 23 10 23 23 23 17 14 23 23 17 12 23 23 18 23 14 23 23 14 18 23 13 18 23 26 26
2688 0]xS
2689 F0S1B Ji
2690 1920 1318 M (16)[15 0]xS
2691 F0S2A Ji
2692 1950 1312 M ( counts of the free-)[18 21 23 23 23 12 20 18 23 13 18 12 23 23 18 13 14 23 23 0]xS
2693 1275 1360 M (running counter\); but that the other half of the time, a)[14 23 23 23 10 23 23 18 21 23 23 23 12 23 14 14 12 18 23 23 12 18 12 23 23 12 18 12 23 23 19 23
2694 12 23 23 14 19 23 23 10 13 19 23 13 19 12 23 23 19 12 10 36 23 12 19 0]xS
2695 1275 1408 M (relatively long AIL is involved \(on the order of F000)[14 23 10 23 12 10 23 23 10 21 19 10 23 23 23 19 28 12 23 19 10 20 19 10 23 23 23 10 23 23 23 19
2696 14 23 23 20 12 23 23 20 23 14 23 23 14 20 23 13 20 26 23 23 0]xS
2697 F0S1B Ji
2698 2295 1414 M (16)[15 0]xS
2699 F0S2A Ji
2700 1275 1456 M (counts of the free-running counter\). Furthermore, which)[21 23 23 23 12 20 13 23 13 13 12 23 23 13 13 14 23 23 14 14 23 23 23 10 23 23 13 21 23 23 23 12
2701 23 14 14 12 14 14 26 23 14 12 23 23 14 36 23 14 23 12 14 29 23 10 21 0]xS
2702 1275 1504 M (of the two AIL values is appropriate is not random\227the)[23 13 15 12 23 23 15 12 29 23 15 28 12 23 15 23 23 10 23 23 20 15 10 20 15 23 23 23 14 23 23 14
2703 10 23 12 23 15 10 20 15 23 23 12 16 14 23 23 23 23 36 42 12 23 0]xS
2704 1275 1552 M (AIL alternates in a perfectly reliable A-B-A-B-\205 pattern.)[28 12 23 12 23 10 12 23 14 23 23 12 23 20 12 10 23 12 23 12 23 23 14 13 23 21 12 10 21 12 14 23
2705 10 10 23 23 10 23 12 28 14 28 14 28 14 28 14 42 12 23 23 12 12 23 14 23 0]xS
2706 1275 1650 M (The key salient point about the timer example above is)[26 23 23 15 21 23 21 15 20 23 10 10 23 23 12 15 23 23 10 23 12 15 23 23 23 23 12 15 12 23 23 16
2707 12 10 36 23 14 16 23 22 23 36 23 10 23 16 23 23 23 23 23 16 10 0]xS
2708 1275 1698 M (that )[12 23 23 12 0]xS
2709 F2S2A Ji
2710 1357 1698 M (the patterns of interrupts which have occurred in the)[12 23 23 12 23 23 12 12 23 14 23 21 12 23 12 12 9 23 12 23 14 14 23 23 12 21 13 31 23 9 21 23
2711 13 23 23 21 23 13 23 21 21 23 14 14 23 23 13 9 23 13 12 23 0]xS
2712 1275 1747 M (past place restrictions on \(and hence supply information)[23 23 21 12 14 23 9 23 21 23 14 14 23 21 12 14 9 21 12 9 23 23 21 14 23 23 15 14 23 23 23 15
2713 23 23 23 21 23 15 21 23 23 23 9 21 15 9 23 12 23 14 35 23 12 9 23 0]xS
2714 1275 1796 M (about\) the patterns of interrupts which may occur in the)[23 23 23 23 12 14 15 12 23 23 15 23 23 12 12 23 14 23 21 15 23 12 15 9 23 12 23 14 14 23 23 12
2715 21 15 31 23 9 21 23 15 35 23 21 15 23 21 21 23 14 15 9 23 16 12 23 0]xS
2716 1275 1845 M (future)[12 23 12 23 14 0]xS
2717 F0S2A Ji
2718 1382 1845 M (. The timer example is by no means contrived or)[12 15 15 26 23 23 15 12 10 36 23 14 15 23 22 23 36 23 10 23 15 10 20 15 23 21 15 23 23 15 36 23
2719 23 23 20 15 21 23 23 12 14 10 23 23 23 15 23 0]xS
2720 1275 1894 M (unique in this regard. In our modeling work, we have)[23 23 10 23 23 23 18 10 23 18 12 23 10 20 18 14 23 23 23 14 23 12 18 19 12 23 19 23 23 14 19 36
2721 23 23 23 10 10 23 23 19 29 23 14 21 12 19 29 23 19 23 23 23 0]xS
2722 1275 1942 M (found qualitatively similar examples involving UARTs,)[13 23 23 23 23 21 23 23 23 10 10 12 23 12 10 23 23 10 21 21 20 10 36 10 10 23 14 21 23 22 23 36
2723 23 10 23 20 21 10 23 23 23 10 23 10 23 23 21 30 28 30 26 20 0]xS
2724 1275 1990 M (timers, and network communication peripherals. We)[12 10 36 23 14 20 12 23 23 23 23 23 23 23 12 29 23 14 21 24 21 23 36 36 23 23 10 21 23 12 10 23
2725 23 24 23 23 14 10 23 23 23 14 23 10 20 12 24 24 42 0]xS
2726 1275 2038 M (should further add that this phenomenon is not restricted)[20 23 23 23 10 23 12 13 23 14 12 23 23 14 12 23 23 23 12 12 23 23 12 12 12 23 10 20 12 23 23 23
2727 23 23 36 23 23 23 23 13 10 20 13 23 23 12 13 14 23 20 12 14 10 21 12 23 0]xS
2728 1275 2086 M (to one IS at a time\227certain forms of \223collusion\224 between)[12 23 12 23 23 23 12 12 28 12 23 12 12 23 12 12 10 36 23 42 21 23 14 12 23 10 23 12 13 23 14 36
2729 20 12 23 13 13 14 21 23 10 10 23 20 10 23 23 14 13 23 23 12 29 23 23 0]xS
2730 1275 2134 M (different ISs are also possible. Consider two network)[23 10 13 13 23 14 23 23 12 20 12 28 20 20 23 14 23 20 23 10 20 23 20 23 23 20 20 10 23 10 23 12
2731 20 20 30 23 23 20 10 23 23 14 20 12 29 23 21 23 23 12 29 23 14 0]xS
2732 1275 2182 M (communication peripherals \(on the same network\) which)[21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 20 12 14 23 23 12 12 23
2733 23 13 20 23 36 23 13 23 23 12 29 23 14 21 14 13 29 23 10 21 0]xS
2734 1275 2230 M (are interfaced to the same microprocessor. Assume)[23 14 23 23 10 23 12 23 14 13 23 21 23 23 23 12 23 23 12 23 23 23 20 23 36 23 23 36 10 21 14 23
2735 23 14 23 21 23 20 20 23 14 12 24 24 28 20 20 23 36 0]xS
2736 1275 2278 M (that each of the two communication peripherals will only)[12 23 23 12 13 23 23 21 23 13 23 13 13 12 23 23 13 12 29 23 13 21 23 36 36 23 23 10 21 23 12 10
2737 23 23 13 23 23 14 10 23 23 23 14 23 10 20 14 29 10 10 10 14 23 23 10 0]xS
2738 1275 2326 M (receive a certain set of network messages, and that the)[14 23 21 23 10 23 23 14 23 14 21 23 14 12 23 10 23 14 20 23 12 14 23 13 15 23 23 12 29 23 14 21
2739 15 36 23 20 20 23 23 23 20 12 15 23 23 23 15 12 23 23 12 15 12 23 0]xS
2740 1275 2374 M (two message sets are mutually exclusive. If the)[12 29 23 31 36 23 20 20 23 23 23 32 20 23 12 20 32 23 14 23 32 36 23 12 23 23 10 10 21 32 23 22
2741 21 10 23 20 10 23 23 12 32 32 12 13 32 12 23 0]xS
2742 1275 2422 M (physical characteristics of the network are such that only)[23 23 21 20 10 21 23 10 12 21 23 23 14 23 21 12 23 14 10 20 12 10 21 20 12 23 13 12 12 23 23 12
2743 23 23 12 29 23 14 21 12 23 14 23 13 20 23 21 23 13 12 23 23 12 13 23 23 10 0]xS
2744 1275 2470 M (one message can be transmitted at a time, a receive)[23 23 23 20 36 23 20 20 23 23 23 20 21 23 23 20 23 23 20 12 14 23 23 20 36 10 12 12 23 23 20 23
2745 12 20 23 20 12 10 36 23 12 20 23 21 14 23 21 23 10 23 0]xS
2746 1275 2518 M (interrupt asserted by one of the two communication)[10 23 12 23 14 14 23 23 12 26 23 20 20 23 14 12 23 23 26 23 21 26 23 23 23 26 23 13 26 12 23 23
2747 26 12 29 23 27 21 23 36 36 23 23 10 21 23 12 10 23 0]xS
2748 1275 2566 M (peripherals places strong restrictions on when in time a)[23 23 14 10 23 23 23 14 23 10 20 15 23 10 23 21 23 20 15 20 12 14 23 23 23 16 14 23 20 12 14 10
2749 21 12 10 23 23 20 16 23 23 16 29 23 23 23 16 10 23 16 12 10 36 23 16 0]xS
2750 1275 2614 M (receive interrupt may be asserted by the other)[14 23 21 23 10 23 23 39 10 23 12 23 14 14 23 23 12 39 36 23 21 40 23 23 40 23 20 20 23 14 12 23
2751 23 40 23 21 40 12 23 23 40 23 12 23 23 0]xS
2752 1275 2662 M (communication peripheral. Similar collusion may exist)[21 23 36 36 23 23 10 21 23 12 10 23 23 17 23 23 14 10 23 23 23 14 23 10 12 18 18 28 10 36 10 10
2753 23 14 18 21 23 10 10 23 20 10 23 23 18 36 23 21 18 23 22 10 20 0]xS
2754 1275 2710 M (between transmit and receive interrupts in the same)[23 23 12 29 23 23 23 24 12 14 23 23 20 36 10 12 24 23 23 23 24 14 23 21 23 10 23 23 24 10 23 12
2755 23 14 14 23 23 12 20 25 10 23 25 12 23 23 25 20 23 36 0]xS
2756 1275 2758 M (communication peripheral.)[21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 0]xS
2757 1275 2856 M (The strength of our approach is that it can consider the)[26 23 23 15 20 12 14 23 23 23 12 23 15 23 13 15 23 23 14 15 23 23 23 14 23 23 21 23 15 10 20 16
2758 12 23 23 12 16 10 12 16 21 23 23 16 21 23 23 20 10 23 23 14 16 12 23 0]xS
2759 1275 2904 M (interrupt history of the system \(if the system is modeled)[10 23 12 23 14 14 23 23 12 14 23 10 20 12 23 14 21 14 23 13 14 12 23 23 14 20 21 20 12 23 36 14
2760 14 10 13 14 12 23 23 15 20 21 20 12 23 36 15 10 20 15 36 23 23 23 10 23 0]xS
2761 1275 2952 M (well\), and thus can treat an AIL which is state-)[29 23 10 10 14 12 33 23 23 23 34 12 23 23 20 34 21 23 23 34 12 14 23 23 12 34 23 23 34 28 12 23
2762 34 29 23 10 21 23 34 10 20 34 20 12 23 12 23 0]xS
2763 1275 3000 M (dependent. We are able to model ISs where past)[23 23 23 23 23 23 23 23 12 12 26 26 42 23 26 23 14 23 26 23 23 10 23 26 12 23 27 36 23 23 23 10
2764 27 12 28 20 27 29 23 23 14 23 27 23 23 20 0]xS
2765 1275 3048 M (patterns of interrupts place restrictions on future patterns)[23 23 12 12 23 14 23 20 12 23 13 12 10 23 12 23 14 14 23 23 12 20 12 23 10 23 21 23 12 14 23 20
2766 12 14 10 21 12 10 23 23 20 12 23 23 12 13 23 12 23 14 23 12 23 23 12 12 23 14 23 0]xS
2767 LH
2768 (%%[Page: 5]%%) =
2769 %%PageTrailer
2770
2771 %%Page: 6 6
2772 %%PageBoundingBox: 18 8 593 784
2773 %%EndPageComments
2774 %%BeginPageSetup
2775 /DeviceRGB dup setcolorspace /colspABC exch def
2776 mysetup concat colspRefresh
2777 %%EndPageSetup
2778
2779 0 0 0 1 scol 1185 3158 M (6)S
2780 75 156 M (of interrupts, and systems where ISs collude. Our)[23 13 27 10 23 12 23 14 14 23 23 12 20 12 27 23 23 23 27 20 21 20 12 23 36 20 27 29 23 23 14 23
2781 28 12 28 20 28 21 23 10 10 23 23 23 12 28 28 33 23 0]xS
2782 75 204 M (approach represents a necessary-and-sufficient test of)[23 23 23 14 23 23 21 23 20 14 23 23 14 23 20 23 23 12 20 20 23 21 23 23 21 23 20 20 23 14 21 14
2783 23 23 23 14 20 23 13 13 10 21 10 23 23 12 21 12 23 20 12 21 23 0]xS
2784 75 252 M (any system that we can model in our framework, rather)[23 23 21 15 20 21 20 12 23 36 15 12 23 23 12 15 29 23 15 21 23 23 15 36 23 23 23 10 15 10 23 15
2785 23 23 14 16 13 14 23 36 23 29 23 14 21 12 16 14 23 12 23 23 0]xS
2786 75 300 M (than a sufficient test.)[12 23 23 23 12 23 12 20 23 13 13 10 21 10 23 23 12 12 12 23 20 12 0]xS
2787 75 398 M (It should also be noted that in practice the AIL will never)[12 12 12 20 23 23 23 10 23 13 23 10 20 23 13 23 23 13 23 23 12 23 23 13 12 23 23 12 13 10 23 13
2788 23 14 23 21 12 10 21 23 13 12 23 23 13 28 12 23 13 29 10 10 10 13 23 23 23 23 0]xS
2789 75 446 M (appear explicitly in any EHM. We have defined the AIL)[23 23 23 23 23 14 13 23 22 23 10 10 21 10 12 10 21 13 10 23 14 23 23 21 14 28 30 35 12 14 14 42
2790 23 14 23 23 23 23 14 23 23 13 10 23 23 23 14 12 23 23 14 28 12 0]xS
2791 75 494 M (to be the maximum allowable time between the)[12 23 36 23 23 36 12 23 23 36 36 23 22 10 36 23 36 37 23 10 10 23 29 23 23 10 23 37 12 10 36 23
2792 37 23 23 12 29 23 23 23 37 12 23 0]xS
2793 75 542 M (assertion of an interrupt by an IS and the start of)[23 20 20 23 14 12 10 23 23 27 23 13 27 23 23 27 10 23 12 23 14 14 23 23 12 27 23 21 27 23 23 27
2794 12 28 27 23 23 23 27 12 23 23 28 20 12 23 14 12 28 23 0]xS
2795 75 590 M (execution of the associated ISR. EHM IS models simply)[23 22 23 21 23 12 10 23 23 12 23 13 12 12 23 23 12 23 20 20 23 21 10 23 12 23 23 12 12 28 30 12
2796 12 12 28 30 35 12 12 28 12 36 23 23 23 10 20 12 20 10 36 23 10 0]xS
2797 75 638 M (contain transitions to the illegal configuration \()[21 23 23 12 23 10 23 17 12 14 23 23 20 10 12 10 23 23 20 18 12 23 18 12 23 23 18 10 10 10 23 23
2798 23 10 18 21 23 23 13 10 23 23 14 23 12 10 23 23 18 0]xS
2799 F2S2A Ji
2800 964 638 M (ILC)[11 23 0]xS
2801 F0S2A Ji
2802 1028 638 M (\). In)[14 12 18 18 12 0]xS
2803 75 687 M (principle it would be possible to manually determine the)[23 14 10 23 21 10 23 10 23 14 10 12 14 29 23 23 10 23 14 23 23 14 23 23 20 20 10 23 10 23 15 12
2804 23 15 36 23 23 23 23 10 10 21 15 23 23 12 23 14 36 10 23 23 15 12 23 0]xS
2805 75 735 M (AIL from the EHM models by starting at the IS ILC and)[28 12 23 15 13 14 23 36 15 12 23 23 15 28 30 35 15 36 23 23 23 10 20 15 23 21 15 20 12 23 14 12
2806 10 23 23 15 23 12 15 12 23 23 15 12 28 16 12 23 30 16 23 23 0]xS
2807 75 783 M (working backwards while simultaneously examining the)[29 23 14 21 10 23 23 17 23 23 21 21 29 23 14 23 20 17 29 23 10 10 23 17 20 10 36 23 10 12 23 23
2808 23 23 23 20 10 21 18 23 22 23 36 10 23 10 23 23 18 12 23 0]xS
2809 75 831 M (ISR EHM and the interactions between the IS and the)[12 28 30 18 28 30 35 18 23 23 23 18 12 23 23 18 10 23 12 23 14 23 21 12 10 23 23 20 18 23 23 12
2810 29 23 23 23 18 12 23 23 19 12 28 19 23 23 23 19 12 23 0]xS
2811 75 879 M (ISR, in order to determine the latest relative time the)[12 28 30 12 20 10 23 20 23 14 23 23 14 20 12 23 20 23 23 12 23 14 36 10 23 23 20 12 23 23 20 10
2812 23 12 23 20 12 20 14 23 10 23 12 10 23 23 20 12 10 36 23 21 12 23 0]xS
2813 75 927 M (ISR can start while avoiding the ILC. However, we have)[12 28 30 12 21 23 23 12 20 12 23 14 12 12 29 23 10 10 23 12 23 23 23 10 23 10 23 23 12 12 23 23
2814 12 12 23 30 12 12 13 30 23 29 23 23 23 14 12 13 29 23 13 23 23 23 0]xS
2815 75 975 M (never done this and we suspect it would be tedious for)[23 23 23 23 14 16 23 23 23 23 16 12 23 10 20 16 23 23 23 16 29 23 16 20 23 20 23 23 21 12 16 10
2816 12 17 29 23 23 10 23 17 23 23 17 12 23 23 10 23 23 20 17 13 23 0]xS
2817 75 1023 M (complex models.)[21 23 36 23 10 23 22 12 36 23 23 23 10 20 0]xS
2818 75 1219 M (OVERVIEW OF MODELING SOFTWARE SYSTEMS)[33 28 28 30 28 12 28 42 12 33 26 12 35 33 30 28 23 12 30 33 12 28 33 26 26 42 28 30 28 12 28 28
2819 28 26 28 35 0]xS
2820 75 1317 M (Figure )[26 10 23 23 14 23 0]xS
2821 215 1317 M (2)S
2822 238 1317 M ( shows the EHM timing model of a software)[22 20 23 23 29 20 22 12 23 23 22 28 30 35 22 12 10 36 10 23 23 22 36 23 23 23 10 22 23 13 22 23
2823 22 20 23 13 12 29 23 14 0]xS
2824 75 1365 M (system \()[20 21 20 12 23 36 26 0]xS
2825 F2S2A Ji
2826 247 1365 M (SS)[28 0]xS
2827 F0S2A Ji
2828 303 1365 M (\). The system has one RTPI \(ready to)[14 12 26 26 26 23 23 26 20 21 20 12 23 36 26 23 23 20 26 23 23 23 26 30 26 28 12 26 14 14 23 23
2829 23 21 26 12 0]xS
2830 75 1414 M (process interrupts\) configuration, which models the SS)[23 14 23 21 23 20 20 18 10 23 12 23 14 14 23 23 12 20 14 18 21 23 23 13 10 23 23 14 23 12 10 23
2831 23 12 18 29 23 10 21 23 18 36 23 23 23 10 20 19 12 23 23 19 28 0]xS
2832 75 1462 M (as it is executing instructions and is able to be)[23 20 33 10 12 34 10 20 34 23 22 23 21 23 12 10 23 23 34 10 23 20 12 14 23 21 12 10 23 23 20 34
2833 23 23 23 34 10 20 34 23 23 10 23 34 12 23 34 23 0]xS
2834 75 1510 M (interrupted. ISs use an SV as an interface to the SS to)[10 23 12 23 14 14 23 23 12 23 23 12 14 14 12 28 20 14 23 20 23 14 23 23 14 28 28 15 23 20 15 23
2835 23 15 10 23 12 23 14 13 23 21 23 15 12 23 15 12 23 23 15 28 28 15 12 0]xS
2836 75 1558 M (indicate that they require service; we call this SV the)[10 23 23 10 21 23 12 23 20 12 23 23 12 20 12 23 23 21 20 14 23 23 23 10 14 23 20 20 23 14 23 10
2837 21 23 12 21 29 23 21 21 23 10 10 21 12 23 10 20 21 28 28 21 12 23 0]xS
2838 75 1606 M (RSSV \()[30 28 28 28 19 0]xS
2839 F2S2A Ji
2840 222 1606 M (r)S
2841 F0S2A Ji
2842 236 1606 M (equesting )[23 23 23 23 20 12 10 23 23 0]xS
2843 F2S2A Ji
2844 436 1606 M (s)S
2845 F0S2A Ji
2846 457 1606 M (ervice SV\). At any time when no)[23 14 23 10 21 23 20 28 28 14 12 20 20 28 12 20 23 23 21 20 12 10 36 23 20 29 23 23 23 20 23 0]xS
2847 75 1655 M (ISs are asserting an RSSV, the SS may enter a critical)[12 28 20 15 23 14 23 15 23 20 20 23 14 12 10 23 23 15 23 23 16 30 28 28 28 12 16 12 23 23 16 28
2848 28 16 36 23 21 16 23 23 12 23 14 16 23 16 21 14 10 12 10 21 23 0]xS
2849 75 1703 M (section \(CS\), which is a series of instructions executed)[20 23 21 12 10 23 23 16 14 30 28 14 12 16 29 23 10 21 23 17 10 20 17 23 17 20 23 14 10 23 20 17
2850 23 13 17 10 23 20 12 14 23 21 12 10 23 23 20 17 23 22 23 21 23 12 23 0]xS
2851 75 1751 M (with interrupts disabled. During a critical section, the)[29 10 12 23 20 10 23 12 23 14 14 23 23 12 20 20 23 10 20 23 23 10 23 23 12 21 21 30 23 14 10 23
2852 23 21 23 21 21 14 10 12 10 21 23 10 21 20 23 21 12 10 23 23 12 21 12 23 0]xS
2853 75 1799 M (software may not enter an ISR. Once the SS begins)[20 23 13 12 29 23 14 23 19 36 23 21 19 23 23 12 19 23 23 12 23 14 19 23 23 20 12 28 30 12 20 20
2854 33 23 21 23 20 12 23 23 20 28 28 20 23 23 23 10 23 0]xS
2855 75 1847 M (executing an ISR, another ISR may not begin execution)[23 22 23 21 23 12 10 23 23 13 23 23 14 12 28 30 12 14 23 23 23 12 23 23 14 14 12 28 30 14 36 23
2856 21 14 23 23 12 14 23 23 23 10 23 14 23 22 23 21 23 12 10 23 0]xS
2857 75 1895 M (until the SS returns to the RTPI configuration. We refer)[23 23 12 10 10 13 12 23 23 13 28 28 13 14 23 12 23 14 23 20 13 12 23 13 12 23 23 14 30 26 28 12
2858 14 21 23 23 13 10 23 23 14 23 12 10 23 23 12 14 14 42 23 14 14 23 13 23 0]xS
2859 75 1943 M (to an ISR which must run to completion as an )[12 23 19 23 23 19 12 28 30 19 29 23 10 21 23 19 36 23 20 12 19 14 23 23 19 12 23 19 21 23 36 23
2860 10 23 12 10 23 23 19 23 20 19 23 23 0]xS
2861 F2S2A Ji
2862 1002 1943 M (atomic)[23 12 23 35 9 0]xS
2863 F0S2A Ji
2864 75 1992 M (ISR. Non-atomic ISRs are treated as an exceptional)[12 28 30 12 21 21 30 23 23 14 23 12 23 36 10 21 21 12 28 30 20 21 23 14 23 21 12 14 23 23 12 23
2865 23 22 23 20 22 23 23 22 23 22 21 23 23 12 10 23 23 23 0]xS
2866 75 2040 M (case and discussed seperately.)[21 23 20 23 12 23 23 23 12 23 10 20 21 23 20 20 23 23 12 20 23 23 23 14 23 12 23 10 21 0]xS
2867 75 2138 M (Figure )[26 10 23 23 14 23 0]xS
2868 211 2138 M (2)S
2869 234 2138 M ( shows that a CS may be entered at any time)[17 20 23 23 29 20 17 12 23 23 12 17 23 17 30 28 17 36 23 21 18 23 23 18 23 23 12 23 14 23 23 18
2870 23 12 18 23 23 21 18 12 10 36 0]xS
2871 75 2186 M (when no IS is asserting its RSSV. The guard on entry to)[29 23 23 23 12 23 23 12 12 28 12 10 20 12 23 20 20 23 14 12 10 23 23 12 10 12 20 12 30 28 28 28
2872 12 12 12 26 23 23 13 23 23 23 14 23 13 23 23 13 23 23 12 14 21 13 12 0]xS
2873 75 2234 M (the CS will reflect this aspect of a practical system\227)[12 23 23 20 30 28 20 29 10 10 10 20 14 23 13 10 23 21 12 20 12 23 10 20 20 23 20 23 23 21 12 20
2874 23 13 20 23 21 23 14 23 21 12 10 21 23 10 21 20 21 20 12 23 36 0]xS
2875 75 2282 M (microprocessor hardware is almost always designed so)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 17 23 23 14 23 29 23 14 23 17 10 20 17 23 10 36 23 20
2876 12 17 23 10 29 23 21 20 17 23 23 20 10 23 23 23 23 17 20 0]xS
2877 75 2330 M (that if multiple interrupts are pending, no non-ISR)[12 23 23 12 31 10 13 31 36 23 10 12 10 23 10 23 31 10 23 12 23 14 14 23 23 12 20 31 23 14 23 31
2878 23 23 23 23 10 23 23 12 31 23 23 31 23 23 23 14 12 28 0]xS
2879 75 2378 M (instruction will be executed until no interrupt is pending.)[10 23 20 12 14 23 21 12 10 23 23 14 29 10 10 10 14 23 23 14 23 22 23 21 23 12 23 23 14 23 23 12
2880 10 10 15 23 23 15 10 23 12 23 14 14 23 23 12 15 10 20 15 23 23 23 23 10 23 23 0]xS
2881 75 2429 M (In the figure, the CS guard contains an event )[12 23 12 12 23 23 12 13 10 23 23 14 23 12 12 12 23 23 12 30 28 13 23 23 23 14 23 13 21 23 23 12
2882 23 10 23 20 13 23 23 13 23 23 23 23 12 0]xS
2883 F4S2A Ji
2884 926 2429 M (s)S
2885 F0S2A Ji
2886 951 2429 M (, which is)[12 13 29 23 10 21 23 13 10 0]xS
2887 : N 926 2434 24 2 rp C
2888 L ; 75 2477 M (an input event from the environment. This denotes that)[23 23 13 10 23 23 23 12 13 23 23 23 23 12 14 13 14 23 36 14 12 23 23 14 23 23 23 10 14 23 23 36
2889 23 23 12 12 14 14 26 23 10 20 14 23 23 23 23 12 23 20 14 12 23 23 0]xS
2890 75 2525 M (the CS may or may not be entered when no IS RSSV is)[12 23 23 13 30 28 13 36 23 21 13 23 14 13 36 23 21 14 23 23 12 14 23 23 14 23 23 12 23 14 23 23
2891 14 29 23 23 23 14 23 23 14 12 28 14 30 28 28 28 14 10 0]xS
2892 75 2576 M (pending. In other words, )[23 23 23 23 10 23 23 12 16 16 12 23 16 23 12 23 23 14 16 29 23 14 23 20 12 0]xS
2893 F4S2A Ji
2894 566 2576 M (s)S
2895 F0S2A Ji
2896 591 2576 M ( is a shorthand for an event)[16 10 20 16 23 16 20 23 23 14 12 23 23 23 23 16 13 23 14 16 23 23 17 23 23 23 23 0]xS
2897 : N 566 2581 24 2 rp C
2898 L ; 75 2624 M (which may occur at an arbitrary time.)[29 23 10 21 23 12 36 23 21 12 23 21 21 23 14 12 23 12 12 23 23 12 23 14 23 10 12 14 23 14 21 12
2899 12 10 36 23 0]xS
2900 75 2722 M (For our modeling, we assume that the execution time of)[26 23 14 13 23 23 14 13 36 23 23 23 10 10 23 23 12 13 29 23 13 23 20 20 23 36 23 14 12 23 23 12
2901 14 12 23 23 14 23 22 23 21 23 12 10 23 23 14 12 10 36 23 14 23 0]xS
2902 75 2770 M (the CS may be in a certain range, with the lower bound)[12 23 23 14 30 28 14 36 23 21 14 23 23 15 10 23 15 23 15 21 23 14 12 23 10 23 15 14 23 23 23 23
2903 12 15 29 10 12 23 15 12 23 23 15 10 23 29 23 14 15 23 23 23 23 0]xS
2904 75 2818 M (derived from the shortest CS in the SS, and the upper)[23 23 14 10 23 23 23 17 13 14 23 36 17 12 23 23 17 20 23 23 14 12 23 20 12 17 30 28 17 10 23 17
2905 12 23 23 17 28 28 12 17 23 23 23 17 12 23 23 17 23 23 23 23 0]xS
2906 75 2866 M (bound derived from the longest CS in the SS. We are)[23 23 23 23 23 16 23 23 14 10 23 23 23 16 13 14 23 36 16 12 23 23 16 10 23 23 23 23 20 12 16 30
2907 28 16 10 23 16 12 23 23 16 28 28 12 16 16 42 23 16 23 14 0]xS
2908 75 2914 M (not confident that it is adequate to model the CS as the)[23 23 12 14 21 23 23 13 10 23 23 23 12 14 12 23 23 12 14 10 12 14 10 20 14 23 23 23 23 23 23 12
2909 23 14 12 23 15 36 23 23 23 10 15 12 23 23 15 30 28 15 23 20 15 12 23 0]xS
2910 75 2962 M (longest CS in the SS \(that is, replacing )[10 23 23 23 23 20 12 12 30 28 12 10 23 12 12 23 23 13 28 28 13 14 12 23 23 12 13 10 20 12 13 14
2911 23 23 10 23 21 10 23 23 0]xS
2912 F2S2A Ji
2913 811 2962 M (t=nondet\(L,U\))[12 25 23 23 23 23 23 12 14 23 12 30 0]xS
2914 F0S2A Ji
2915 1068 2962 M ( by)[13 23 0]xS
2916 F2S2A Ji
2917 75 3011 M (t=U)[12 25 0]xS
2918 F0S2A Ji
2919 142 3011 M (\), as we have found counterintuitive examples in our)[14 12 13 23 20 13 29 23 13 23 23 23 23 13 13 23 23 23 23 13 21 23 23 23 12 23 14 10 23 12 23 10
2920 12 10 23 23 14 23 22 23 36 23 10 23 20 14 10 23 14 23 23 0]xS
2921 75 3060 M (modeling where a longer CS delays the start of)[36 23 23 23 10 10 23 23 34 29 23 23 14 23 34 23 34 10 23 23 23 23 14 34 30 28 34 23 23 10 23 21
2922 20 35 12 23 23 35 20 12 23 14 12 35 23 0]xS
2923 1275 156 M (execution of a lower-priority ISR until a higher-priority)[23 22 23 21 23 12 10 23 23 20 23 13 20 23 20 10 23 29 23 14 14 23 14 10 23 14 10 12 21 20 12 28
2924 30 21 23 23 12 10 10 21 23 21 23 10 23 23 23 14 14 23 14 10 23 14 10 12 0]xS
2925 1275 204 M (ISR also becomes pending, and hence )[12 28 30 23 23 10 20 23 23 23 23 21 23 36 23 20 23 23 23 23 23 10 23 23 12 23 23 23 23 24 23 23
2926 23 21 23 0]xS
2927 F2S2A Ji
2928 2072 204 M (avoids)[23 21 23 9 23 0]xS
2929 F0S2A Ji
2930 2192 204 M ( rather)[24 14 23 12 23 23 0]xS
2931 1275 253 M (than aggravates an AIL violation \(for the higher-priority)[12 23 23 23 16 23 23 23 14 23 23 23 12 23 20 16 23 23 17 28 12 23 17 23 10 23 10 23 12 10 23 23
2932 17 14 13 23 14 17 12 23 23 17 23 10 23 23 23 14 14 23 14 10 23 14 10 12 0]xS
2933 1275 301 M (ISR\). We believe it may be possible to accidentally)[12 28 30 14 12 22 22 42 23 22 23 23 10 10 23 23 23 22 10 12 22 36 23 21 22 23 23 22 23 23 20 20
2934 10 23 10 23 22 12 23 23 23 21 21 10 23 23 23 12 23 10 10 0]xS
2935 1275 349 M (construct a practical system where the system may)[21 23 23 20 12 14 23 21 12 26 23 26 23 14 23 21 12 10 21 23 10 27 20 21 20 12 23 36 27 29 23 23
2936 14 23 27 12 23 23 27 20 21 20 12 23 36 27 36 23 0]xS
2937 1275 397 M (violate its AIL requirements with a shorter CS but may)[23 10 23 10 23 12 23 17 10 12 20 17 28 12 23 17 14 23 23 23 10 14 23 36 23 23 12 20 17 29 10 12
2938 23 17 23 17 20 23 23 14 12 23 14 17 30 28 18 23 23 12 18 36 23 0]xS
2939 1275 445 M (not violate its AIL requirements with a longer CS. This)[23 23 12 15 23 10 23 10 23 12 23 15 10 12 20 15 28 12 23 16 14 23 23 23 10 14 23 36 23 23 12 20
2940 16 29 10 12 23 16 23 16 10 23 23 23 23 14 16 30 28 12 16 16 26 23 10 0]xS
2941 1275 493 M (requires further investigation. Assuming that the CS)[14 23 23 23 10 14 23 20 23 13 23 14 12 23 23 14 23 10 23 23 23 20 12 10 23 23 12 10 23 23 12 23
2942 23 28 20 20 23 36 10 23 23 23 12 23 23 12 23 12 23 23 24 30 0]xS
2943 1275 541 M (execution time falls into a range circumvents this)[23 22 23 21 23 12 10 23 23 32 12 10 36 23 32 13 23 10 10 20 32 10 23 12 23 32 23 32 14 23 23 23
2944 23 32 21 10 14 21 23 36 23 23 23 12 20 33 12 23 10 0]xS
2945 1275 589 M (uncertainty)[23 23 21 23 14 12 23 10 23 12 0]xS
2946 F0S1B Ji
2947 1480 568 M (7)S
2948 F0S2A Ji
2949 1495 589 M (.)S
2950 : N 1281 748 736 85 rp C
2951 1 1 1 1 scol L ; N 1280 747 M 1280 834 I 2018 834 I 2018 747 I 1280 747 I 1281 749 I 2018 749 I 2016 748 I 2016 833 I 2018 831 I 1281 831 I 1282 833 I 1282 748 I 1281 749 I 1280 747 I C
2952 L /F0S21YFFFFFFE5 F0 [33.996 0 0 -26.074 0 0 ] mFS
2953 F0S21YFFFFFFE5 Ji
2954 1645 803 M (RTPI)[18 16 18 0]xS
2955 : N 1322 900 116 73 rp C
2956 1 1 1 1 scol L ; N 1322 899 M 1322 974 I 1439 974 I 1439 899 I 1322 899 I 1322 902 I 1439 902 I 1437 900 I 1437 973 I 1439 971 I 1322 971 I 1324 973 I 1324 900 I 1322 902 I 1322 899 I C
2957 L 1353 949 M (ISR)[11 14 0]xS
2958 /F0S13YFFFFFFF0 F0 [19.68 0 0 -15.012 0 0 ] mFS
2959 F0S13YFFFFFFF0 Ji
2960 1396 947 M (1)S
2961 N 1380 833 M 1380 898 I 1383 898 I 1383 833 I 1380 833 I C
2962 L N 1385 891 M 1382 898 I 1379 891 I 1385 891 I C
2963 O N 1385 892 M 1383 890 I 1380 897 I 1383 897 I 1380 890 I 1379 892 I 1385 892 I 1387 889 I 1376 889 I 1382 901 I 1387 889 I 1385 892 I C
2964 L N 1378 973 M 1378 1008 I 1379 1007 I 1303 1007 I 1304 1008 I 1304 833 I 1301 833 I 1302 1009 I 1380 1009 I 1381 973 I 1378 973 I C
2965 L N 1299 840 M 1303 833 I 1306 840 I 1299 840 I C
2966 O N 1299 838 M 1300 841 I 1304 834 I 1301 834 I 1304 841 I 1306 838 I 1299 838 I 1296 842 I 1308 842 I 1303 830 I 1296 842 I 1299 838 I C
2967 L : N 1492 902 117 74 rp C
2968 1 1 1 1 scol L ; N 1491 902 M 1491 977 I 1610 977 I 1610 902 I 1491 902 I 1492 904 I 1609 904 I 1608 902 I 1608 976 I 1609 974 I 1492 974 I 1494 976 I 1494 902 I 1492 904 I 1491 902 I C
2969 L F0S21YFFFFFFE5 Ji
2970 1524 952 M (ISR)[10 14 0]xS
2971 /F0S11YFFFFFFF2 F0 [17.891 0 0 -13.43 0 0 ] mFS
2972 F0S11YFFFFFFF2 Ji
2973 1567 949 M (2)S
2974 N 1550 832 M 1550 900 I 1553 900 I 1553 832 I 1550 832 I C
2975 L N 1555 894 M 1552 900 I 1548 894 I 1555 894 I C
2976 O N 1555 895 M 1553 893 I 1550 899 I 1553 899 I 1550 893 I 1548 895 I 1555 895 I 1557 892 I 1546 892 I 1552 903 I 1557 892 I 1555 895 I C
2977 L N 1548 976 M 1548 1012 I 1550 1010 I 1473 1010 I 1474 1012 I 1474 834 I 1471 834 I 1472 1012 I 1551 1012 I 1552 976 I 1548 976 I C
2978 L N 1469 840 M 1473 834 I 1476 840 I 1469 840 I C
2979 O N 1469 838 M 1470 841 I 1474 835 I 1471 835 I 1475 841 I 1476 838 I 1469 838 I 1466 842 I 1479 842 I 1473 831 I 1466 842 I 1469 838 I C
2980 L : N 1773 902 116 74 rp C
2981 1 1 1 1 scol L ; N 1772 902 M 1772 977 I 1890 977 I 1890 902 I 1772 902 I 1773 904 I 1890 904 I 1888 902 I 1888 976 I 1890 974 I 1773 974 I 1774 976 I 1774 902 I 1773 904 I 1772 902 I C
2982 L F0S21YFFFFFFE5 Ji
2983 1803 952 M (ISR)[10 14 0]xS
2984 F0S11YFFFFFFF2 Ji
2985 1846 949 M (N)S
2986 N 1830 833 M 1830 901 I 1833 901 I 1833 833 I 1830 833 I C
2987 L N 1835 894 M 1832 901 I 1829 894 I 1835 894 I C
2988 O N 1835 895 M 1833 893 I 1830 900 I 1833 900 I 1830 893 I 1829 895 I 1835 895 I 1837 892 I 1826 892 I 1832 904 I 1837 892 I 1835 895 I C
2989 L N 1829 976 M 1829 1012 I 1830 1010 I 1753 1010 I 1755 1012 I 1755 834 I 1751 834 I 1752 1012 I 1831 1012 I 1832 976 I 1829 976 I C
2990 L N 1749 840 M 1753 834 I 1757 840 I 1749 840 I C
2991 O N 1749 838 M 1751 841 I 1755 835 I 1751 835 I 1755 841 I 1757 838 I 1749 838 I 1747 842 I 1759 842 I 1753 831 I 1747 842 I 1749 838 I C
2992 L : N 1935 902 116 122 rp C
2993 1 1 1 1 scol L ; N 1934 902 M 1934 1025 I 2052 1025 I 2052 902 I 1934 902 I 1935 904 I 2051 904 I 2050 902 I 2050 1024 I 2051 1023 I 1935 1023 I 1936 1024 I 1936 902 I 1935 904 I 1934 902 I C
2994 L F0S21YFFFFFFE5 Ji
2995 1976 961 M (CS)[19 0]xS
2996 1955 993 M (t'=-1)[11 10 25 10 0]xS
2997 N 1992 832 M 1992 900 I 1995 900 I 1995 832 I 1992 832 I C
2998 L N 1997 894 M 1994 900 I 1991 894 I 1997 894 I C
2999 O N 1997 895 M 1995 893 I 1992 899 I 1995 899 I 1992 893 I 1991 895 I 1997 895 I 1999 892 I 1988 892 I 1994 903 I 1999 892 I 1997 895 I C
3000 L N 1991 1024 M 1991 1072 I 1992 1070 I 1915 1070 I 1916 1072 I 1916 834 I 1913 834 I 1914 1072 I 1993 1072 I 1994 1024 I 1991 1024 I C
3001 L N 1911 840 M 1915 834 I 1919 840 I 1911 840 I C
3002 O N 1911 838 M 1912 841 I 1916 835 I 1913 835 I 1917 841 I 1919 838 I 1911 838 I 1909 842 I 1921 842 I 1915 831 I 1909 842 I 1911 838 I C
3003 L /F1S46YFFFFFFC4 F1 [70.973 0 0 -59.262 0 0 ] mFS
3004 F1S46YFFFFFFC4 Ji
3005 1647 946 M (...)[22 22 0]xS
3006 F0S21YFFFFFFE5 Ji
3007 1382 875 M (G)S
3008 F0S11YFFFFFFF2 Ji
3009 1403 874 M (1)S
3010 F0S21YFFFFFFE5 Ji
3011 1553 877 M (G)S
3012 F0S11YFFFFFFF2 Ji
3013 1574 875 M (2)S
3014 F0S21YFFFFFFE5 Ji
3015 1837 881 M (G)S
3016 F0S11YFFFFFFF2 Ji
3017 1857 879 M (N)S
3018 : 1970 1072 56 28 rc F0S21YFFFFFFE5 Ji
3019 1970 1097 M (t<0)[11 26 0]xS
3020 ; F0S21YFFFFFFE5 Ji
3021 2002 887 M (t=randam\(L,U\))[11 25 11 14 15 15 14 23 13 15 10 21 0]xS
3022 /F4S1A F4 [26.148 0 0 -26.148 0 0 ] mFS
3023 F4S1A Ji
3024 1999 857 M (s)S
3025 /F0S1A F0 [26.148 0 0 -26.148 0 0 ] mFS
3026 F0S1A Ji
3027 2014 858 M ( )S
3028 F4S1A Ji
3029 2022 857 M <D9>S
3030 F0S1A Ji
3031 2038 858 M ( )S
3032 F4S1A Ji
3033 2046 857 M <D8>S
3034 F0S1A Ji
3035 2065 858 M (G)S
3036 : 2085 844 11 20 rc /F0S11 F0 [17.953 0 0 -17.953 0 0 ] mFS
3037 F0S11 Ji
3038 2085 861 M (1)S
3039 ; 2095 858 M ( )S
3040 F4S1A Ji
3041 2103 857 M <D9>S
3042 F0S1A Ji
3043 2119 858 M ( )S
3044 F4S1A Ji
3045 2127 857 M <D8>S
3046 F0S1A Ji
3047 2146 858 M (G)S
3048 : 2166 844 11 20 rc F0S11 Ji
3049 2166 861 M (2)S
3050 ; 2176 858 M ( )S
3051 F4S1A Ji
3052 2184 857 M <D9>S
3053 F0S1A Ji
3054 2200 858 M ( \205 )[8 26 0]xS
3055 F4S1A Ji
3056 2241 857 M <D9>S
3057 F0S1A Ji
3058 2258 858 M ( )S
3059 F4S1A Ji
3060 2265 857 M <D8>S
3061 F0S1A Ji
3062 2284 858 M (G)S
3063 : 2305 844 13 20 rc F0S11 Ji
3064 2305 861 M (N)S
3065 ; : N 1999 860 15 1 rp C
3066 L ; F1S2A Ji
3067 1381 1190 M (Figure )[26 12 26 26 16 23 0]xS
3068 1522 1190 M (2)S
3069 1545 1190 M (: EHM Model Of Software System)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 28 26 14 14 33 23 16 23 12 28 23 23 14 23 0]xS
3070 F0S2A Ji
3071 1275 1289 M (IS EHMs signal the SS EHM that an interrupt is asserted)[12 28 12 28 30 35 20 12 20 10 23 23 23 10 12 12 23 23 12 28 28 12 28 30 35 12 12 23 23 12 12 23
3072 23 13 10 23 12 23 14 14 23 23 12 13 10 20 13 23 20 20 23 14 12 23 0]xS
3073 1275 1337 M (through the RSSV belonging to the IS. If the RSSV is)[12 23 14 23 23 23 23 16 12 23 23 16 30 28 28 28 16 23 23 10 23 23 23 10 23 23 17 12 23 17 12 23
3074 23 17 12 28 12 17 17 12 13 17 12 23 23 17 30 28 28 28 17 10 0]xS
3075 1275 1385 M (set to indicate that the IS requires service, the guard of)[20 23 12 15 12 23 15 10 23 23 10 21 23 12 23 15 12 23 23 12 15 12 23 23 15 12 28 15 14 23 23 23
3076 10 14 23 20 15 20 23 14 23 10 21 23 12 15 12 23 23 15 23 23 23 14 23 16 23 0]xS
3077 1275 1433 M (the transition leaving RTPI will be chosen to allow the)[12 23 23 18 12 14 23 23 20 10 12 10 23 23 18 10 23 23 23 10 23 23 18 30 26 28 12 18 29 10 10 10
3078 18 23 23 18 21 23 23 20 23 23 19 12 23 19 23 10 10 23 29 19 12 23 0]xS
3079 1275 1481 M (SS EHM to enter the appropriate ISR.)[28 28 12 28 30 35 12 12 23 12 23 23 12 23 14 12 12 23 23 12 23 23 23 14 23 23 14 10 23 12 23 12
3080 12 28 30 0]xS
3081 1275 1579 M (In a microprocessor system, the digital hardware)[12 23 37 23 37 36 10 21 14 23 23 14 23 21 23 20 20 23 14 37 20 21 20 12 23 36 12 37 12 23 23 37
3082 23 10 23 10 12 23 10 37 23 23 14 23 29 23 14 0]xS
3083 1275 1627 M (assigns priorities. If multiple ISs require service when)[23 20 20 10 23 23 20 18 23 14 10 23 14 10 12 10 23 20 12 18 18 12 13 18 36 23 10 12 10 23 10 23
3084 18 12 28 20 18 14 23 23 23 10 14 23 19 20 23 14 23 10 21 23 19 29 23 23 0]xS
3085 1275 1675 M (the SS becomes RTPI, the ISR to be entered is chosen)[12 23 23 14 28 28 14 23 23 21 23 36 23 20 14 30 26 28 12 12 14 12 23 23 15 12 28 30 15 12 23 15
3086 23 23 15 23 23 12 23 14 23 23 15 10 20 15 21 23 23 20 23 0]xS
3087 1275 1723 M (using a fixed priority scheme. This behavior can be)[23 20 10 23 23 22 23 22 13 10 22 23 23 22 23 14 10 23 14 10 12 21 22 20 21 23 23 36 23 12 22 22
3088 26 23 10 20 22 23 23 23 23 23 10 23 14 22 21 23 23 22 23 0]xS
3089 1275 1771 M (captured in the SS EHM by choosing the guards so that)[21 23 23 12 23 14 23 23 14 10 23 14 12 23 23 14 28 28 14 28 30 35 14 23 21 14 21 23 23 23 20 10
3090 23 23 14 12 23 23 14 23 23 23 14 23 20 14 20 23 15 12 23 23 0]xS
3091 1275 1819 M (a lower-priority ISR cannot be entered while any higher-)[23 14 10 23 29 23 14 14 23 14 10 23 14 10 12 21 14 12 28 30 14 21 23 23 23 23 12 14 23 23 14 23
3092 23 12 23 14 23 23 14 29 23 10 10 23 14 23 23 21 15 23 10 23 23 23 14 0]xS
3093 1275 1867 M (priority IS requires service.)[23 14 10 23 14 10 12 21 12 12 28 12 14 23 23 23 10 14 23 20 12 20 23 14 23 10 21 23 0]xS
3094 1275 1965 M (To illustrate the modeling of priority resolution in)[26 23 34 10 10 10 23 20 12 14 23 12 23 34 12 23 23 34 36 23 23 23 10 10 23 23 34 23 13 34 23 14
3095 10 23 14 10 12 21 34 14 23 20 23 10 23 12 10 23 23 34 10 0]xS
3096 1275 2013 M (hardware, consider a system with three ISs, each with)[23 23 14 23 29 23 14 23 12 18 21 23 23 20 10 23 23 14 18 23 18 20 21 20 12 23 36 19 29 10 12 23
3097 19 12 23 14 23 23 19 12 28 20 12 19 23 23 21 23 19 29 10 12 0]xS
3098 1275 2061 M (an associated ISR. Assume that IS)[23 23 21 23 20 20 23 21 10 23 12 23 23 21 12 28 30 12 21 21 28 20 20 23 36 23 21 12 23 23 12 21
3099 12 0]xS
3100 F0S1B Ji
3101 1987 2067 M (1)S
3102 F0S2A Ji
3103 2002 2061 M ( has the highest)[21 23 23 20 22 12 23 23 22 23 10 23 23 23 20 0]xS
3104 1275 2109 M (priority, followed by IS)[23 14 10 23 14 10 12 21 12 27 13 23 10 10 23 29 23 23 27 23 21 27 12 0]xS
3105 F0S1B Ji
3106 1733 2115 M (2)S
3107 F0S2A Ji
3108 1748 2109 M ( and then IS)[27 23 23 23 27 12 23 23 23 27 12 0]xS
3109 F0S1B Ji
3110 2019 2115 M (3)S
3111 F0S2A Ji
3112 2034 2109 M (; and that the)[12 27 23 23 23 27 12 23 23 12 28 12 23 0]xS
3113 1275 2157 M (semantics of the RSSVs require a value of zero if no)[20 23 36 23 23 12 10 21 20 19 23 13 19 12 23 23 19 30 28 28 28 20 19 14 23 23 23 10 14 23 19 23
3114 19 23 23 10 23 23 19 23 13 20 21 23 14 23 20 10 13 20 23 0]xS
3115 1275 2205 M (service is required, and a value greater than zero if)[20 23 14 23 10 21 23 23 10 20 23 14 23 23 23 10 14 23 23 12 23 23 23 23 23 23 23 23 23 10 23 23
3116 23 23 14 23 23 12 23 14 24 12 23 23 23 24 21 23 14 23 24 10 0]xS
3117 1275 2253 M (service is required. For this example, suitable guards)[20 23 14 23 10 21 23 18 10 20 19 14 23 23 23 10 14 23 23 12 19 19 26 23 14 19 12 23 10 20 19 23
3118 22 23 36 23 10 23 12 19 20 23 10 12 23 23 10 23 19 23 23 23 14 23 0]xS
3119 1275 2301 M (are shown below.)[23 14 23 12 20 23 23 29 23 12 23 23 10 23 29 0]xS
3120 1350 2399 M (G)S
3121 F0S1B Ji
3122 1383 2405 M (1)S
3123 F0S2A Ji
3124 1398 2399 M (:)S
3125 1425 2399 M (RSSV)[30 28 28 0]xS
3126 F0S1B Ji
3127 1539 2405 M (1)S
3128 F0S2A Ji
3129 1554 2399 M ( > 0)[12 25 12 0]xS
3130 1350 2450 M (G)S
3131 F0S1B Ji
3132 1383 2456 M (2)S
3133 F0S2A Ji
3134 1398 2450 M (:)S
3135 1425 2450 M (RSSV)[30 28 28 0]xS
3136 F0S1B Ji
3137 1539 2456 M (2)S
3138 F0S2A Ji
3139 1554 2450 M ( > 0 )[12 25 12 23 0]xS
3140 F4S2A Ji
3141 1638 2450 M <D9>S
3142 F0S2A Ji
3143 1664 2450 M ( RSSV)[12 30 28 28 0]xS
3144 F0S1B Ji
3145 1790 2456 M (1)S
3146 F0S2A Ji
3147 1805 2450 M ( )S
3148 F4S2A Ji
3149 1817 2450 M <A3>S
3150 F0S2A Ji
3151 1840 2450 M ( 0)[12 0]xS
3152 1350 2501 M (G)S
3153 F0S1B Ji
3154 1383 2507 M (3)S
3155 F0S2A Ji
3156 1398 2501 M (:)S
3157 1425 2501 M (RSSV)[30 28 28 0]xS
3158 F0S1B Ji
3159 1539 2507 M (3)S
3160 F0S2A Ji
3161 1554 2501 M ( > 0 )[12 25 12 23 0]xS
3162 F4S2A Ji
3163 1638 2501 M <D9>S
3164 F0S2A Ji
3165 1664 2501 M ( RSSV)[12 30 28 28 0]xS
3166 F0S1B Ji
3167 1790 2507 M (2)S
3168 F0S2A Ji
3169 1805 2501 M ( )S
3170 F4S2A Ji
3171 1817 2501 M <A3>S
3172 F0S2A Ji
3173 1840 2501 M ( 0 )[12 23 0]xS
3174 F4S2A Ji
3175 1887 2501 M <D9>S
3176 F0S2A Ji
3177 1913 2501 M ( RSSV)[12 30 28 28 0]xS
3178 F0S1B Ji
3179 2039 2507 M (1)S
3180 F0S2A Ji
3181 2054 2501 M ( )S
3182 F4S2A Ji
3183 2066 2501 M <A3>S
3184 F0S2A Ji
3185 2089 2501 M ( 0)[12 0]xS
3186 1275 2599 M (This strategy for the construction of guards can be)[26 23 10 20 26 20 12 14 23 12 23 23 21 27 13 23 14 27 12 23 23 27 21 23 23 20 12 14 23 21 12 10
3187 23 23 27 23 13 27 23 23 23 14 23 20 27 21 23 23 27 23 0]xS
3188 1275 2647 M (extended indefinitely.)[23 22 12 23 23 23 23 23 12 10 23 23 23 13 10 23 10 12 23 10 21 0]xS
3189 1275 2772 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3190 1635 2772 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3191 : N 1275 2761 600 2 rp C
3192 L ; F0S1B Ji
3193 1275 2799 M (7)S
3194 F0S2A Ji
3195 1290 2820 M ( Our uncertainty lies with the nature of practical)[12 33 23 14 12 23 23 21 23 14 12 23 10 23 12 21 12 10 10 23 20 12 29 10 12 23 12 12 23 23 12 23
3196 23 12 23 14 23 12 23 13 12 23 14 23 21 12 10 21 23 0]xS
3197 1275 2868 M (systems rather than with the nature of the mathematical)[20 21 20 12 23 36 20 12 14 23 12 23 23 14 12 12 23 23 23 12 29 10 12 23 12 12 23 23 12 23 23 12
3198 23 14 23 12 23 13 12 12 23 23 12 36 23 12 23 23 36 23 12 10 21 23 0]xS
3199 1275 2916 M (framework. We know it is possible to model such a)[13 14 23 36 23 29 23 14 21 12 12 12 42 23 12 21 23 23 29 12 10 12 12 10 20 12 23 23 20 20 10 23
3200 10 23 12 12 23 12 36 23 23 23 10 12 20 23 21 23 12 0]xS
3201 1275 2964 M (system within the hybrid system framework, but we are)[20 21 20 12 23 36 12 29 10 12 23 10 23 12 12 23 23 12 23 21 23 14 10 23 12 20 21 20 12 23 36 12
3202 13 14 23 36 23 29 23 14 21 12 12 23 23 12 12 29 23 12 23 14 0]xS
3203 1275 3012 M (uncertain if any practical system would have this)[23 23 21 23 14 12 23 10 23 12 10 13 12 23 23 21 12 23 14 23 21 12 10 21 23 10 12 20 21 20 12 23
3204 36 12 29 23 23 10 23 12 23 23 23 23 12 12 23 10 0]xS
3205 1275 3060 M (characteristic.)[21 23 23 14 23 21 12 23 14 10 20 12 10 21 0]xS
3206 LH
3207 (%%[Page: 6]%%) =
3208 %%PageTrailer
3209
3210 %%Page: 7 7
3211 %%PageBoundingBox: 18 8 593 784
3212 %%EndPageComments
3213 %%BeginPageSetup
3214 /DeviceRGB dup setcolorspace /colspABC exch def
3215 mysetup concat colspRefresh
3216 %%EndPageSetup
3217
3218 0 0 0 1 scol 1185 3158 M (7)S
3219 75 156 M (Figure )[26 10 23 23 14 23 0]xS
3220 224 156 M (2)S
3221 247 156 M ( is diagrammatic only, to show the major)[30 10 20 30 23 10 23 23 14 23 36 36 23 12 10 21 30 23 23 10 21 12 30 12 23 30 20 23 23 29 30 12
3222 23 23 31 36 23 10 23 0]xS
3223 75 204 M (features of the SS EHM. In Figure )[13 23 23 12 23 14 23 20 20 23 13 20 12 23 23 20 28 28 20 28 30 35 12 20 21 12 23 21 26 10 23 23
3224 14 23 0]xS
3225 798 204 M (2)S
3226 821 204 M (, the rectangles)[12 21 12 23 23 21 14 23 21 12 23 23 23 10 23 0]xS
3227 75 252 M (labeled as ISRs represent the bodies of the ISRs\227in a)[10 23 23 23 10 23 23 16 23 20 16 12 28 30 20 16 14 23 23 14 23 20 23 23 12 16 12 23 23 16 23 23
3228 23 10 23 20 16 23 13 16 12 23 23 16 12 28 30 20 42 10 23 17 0]xS
3229 75 300 M (practical SS model, each ISR may entail high)[23 14 23 21 12 10 21 23 10 41 28 28 41 36 23 23 23 10 12 41 23 23 21 23 41 12 28 30 42 36 23 21
3230 42 23 23 12 23 10 10 42 23 10 23 0]xS
3231 75 348 M (complexity and consist of at least several)[21 23 36 23 10 23 22 10 12 21 59 23 23 23 59 21 23 23 20 10 20 12 59 23 13 59 23 12 60 10 23 23
3232 20 12 60 20 23 23 23 14 23 0]xS
3233 75 396 M (configurations, with multiple transitions leading back to)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 18 29 10 12 23 18 36 23 10 12 10 23 10 23 18 12 14
3234 23 23 20 10 12 10 23 23 20 18 10 23 23 23 10 23 23 18 23 23 21 21 18 12 0]xS
3235 75 444 M (RTPI.)[30 26 28 12 0]xS
3236 75 640 M (OVERVIEW OF MODELING SOURCES OF)[33 28 28 30 28 12 28 42 68 33 26 68 35 33 30 28 23 12 30 33 68 28 33 30 30 30 28 28 68 33 0]xS
3237 75 688 M (INTERRUPT)[12 30 26 28 30 30 30 28 0]xS
3238 75 786 M (Figure )[26 10 23 23 14 23 0]xS
3239 206 786 M (3)S
3240 229 786 M ( gives a diagrammatic EHM model of an IS. An)[12 23 10 23 23 20 12 23 12 23 10 23 23 14 23 36 36 23 12 10 21 13 28 30 35 13 36 23 23 23 10 13
3241 23 13 13 23 23 13 12 28 12 13 13 28 0]xS
3242 75 834 M (IS is modeled to have a unique initial configuration. The)[12 28 12 10 20 12 36 23 23 23 10 23 23 12 12 23 12 23 23 23 23 12 23 12 23 23 10 23 23 23 12 10
3243 23 10 12 10 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 13 26 23 0]xS
3244 75 882 M (configurations of an IS EHM can always be divided into)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 23 13 14 23 23 14 12 28 15 28 30 35 15 21 23 23 15
3245 23 10 29 23 21 20 15 23 23 15 23 10 23 10 23 23 23 15 10 23 12 0]xS
3246 75 930 M (three mutually exhaustive and mutually exclusive)[12 23 14 23 23 38 36 23 12 23 23 10 10 21 38 23 22 23 23 23 20 12 10 23 23 39 23 23 23 39 36 23
3247 12 23 23 10 10 21 39 23 22 21 10 23 20 10 23 0]xS
3248 75 978 M (categories:)[21 23 12 23 23 23 14 10 23 20 0]xS
3249 F4S2A Ji
3250 75 1079 M <B7>S
3251 F0S2A Ji
3252 94 1079 M ( )S
3253 150 1079 M (Configurations in which the IS does not require)[30 23 23 13 10 23 23 14 23 12 10 23 23 20 27 10 23 27 29 23 10 21 23 27 12 23 23 27 12 28 27 23
3254 23 23 20 28 23 23 12 28 14 23 23 23 10 14 0]xS
3255 150 1127 M (service.)[20 23 14 23 10 21 23 0]xS
3256 F4S2A Ji
3257 75 1178 M <B7>S
3258 F0S2A Ji
3259 94 1178 M ( )S
3260 150 1178 M (Configurations in which the IS requires service.)[30 23 23 13 10 23 23 14 23 12 10 23 23 20 12 10 23 12 29 23 10 21 23 12 12 23 23 12 12 28 12 14
3261 23 23 23 10 14 23 20 12 20 23 14 23 10 21 23 0]xS
3262 F4S2A Ji
3263 75 1229 M <B7>S
3264 F0S2A Ji
3265 94 1229 M ( )S
3266 150 1229 M (Illegal configurations.)[12 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 0]xS
3267 : N 188 1933 506 107 rp C
3268 1 1 1 1 scol L ; N 187 1932 M 187 2041 I 695 2041 I 695 1932 I 187 1932 I 188 1935 I 694 1935 I 692 1933 I 692 2040 I 694 2038 I 188 2038 I 190 2040 I 190 1933 I 188 1935 I 187 1932 I C
3269 L : N 188 1682 506 107 rp C
3270 1 1 1 1 scol L ; N 187 1681 M 187 1790 I 695 1790 I 695 1681 I 187 1681 I 188 1684 I 694 1684 I 692 1682 I 692 1789 I 694 1787 I 188 1787 I 190 1789 I 190 1682 I 188 1684 I 187 1681 I C
3271 L /F4S21 F4 [33.855 0 0 -33.855 0 0 ] mFS
3272 F4S21 Ji
3273 862 1595 M (s)S
3274 : N 862 1598 20 2 rp C
3275 L ; /F0S21 F0 [33.855 0 0 -33.855 0 0 ] mFS
3276 F0S21 Ji
3277 862 1635 M (RSSV=0)[24 23 22 23 19 0]xS
3278 0 Lj 2 Lc 0 Lw : 186 1417 524 139 rc N 694 1432 M 188 1432 I 188 1540 I 694 1540 I C
3279 : 1 1 1 1 scol O ; : [ 1 0 0 1 186 1288 ] concat K
3280 ; ; : 186 1416 525 141 rc N 187 1431 M 187 1541 I 695 1541 I 695 1431 I 187 1431 I 188 1434 I 694 1434 I 692 1432 I 692 1540 I 694 1538 I 188 1538 I 190 1540 I 190 1432 I 188 1434 I 187 1431 I C
3281 : L ; : [ 1 0 0 1 186 1288 ] concat K
3282 ; ; /F0S2BYFFFFFFDF F0 [43.043 0 0 -33 0 0 ] mFS
3283 F0S2BYFFFFFFDF Ji
3284 204 1470 M (INTERRUPT_NOT_PENDING)[13 28 21 20 24 23 27 22 20 17 28 30 21 17 21 21 28 26 13 28 0]xS
3285 263 1510 M (\(Initial Configuration\))[17 12 20 10 14 9 17 10 12 24 20 20 12 10 19 19 14 17 13 10 21 19 0]xS
3286 252 1740 M (INTERRUPT_PENDING)[13 28 21 20 24 23 27 22 20 17 22 20 28 26 13 28 0]xS
3287 370 1977 M (ILLEGAL)[13 19 19 20 26 26 0]xS
3288 198 2017 M (\(Illegal Configuration, or ILC\))[17 12 10 10 17 19 16 10 12 24 21 19 13 10 18 20 14 16 14 10 20 20 12 12 20 15 12 13 19 24 0]xS
3289 : 420 1288 35 160 rc N 435 1288 M 435 1432 I 439 1432 I 439 1288 I 435 1288 I C
3290 : L ; : [ 1 0 0 1 186 1288 ] concat K
3291 ; ; N 441 1423 M 437 1432 I 433 1423 I 441 1423 I C
3292 : O ; : [ 1 0 0 1 186 1288 ] concat K
3293 ; N 441 1425 M 439 1422 I 435 1431 I 439 1431 I 435 1422 I 433 1425 I 441 1425 I 444 1421 I 430 1421 I 437 1436 I 444 1421 I 441 1425 I C
3294 : L ; : [ 1 0 0 1 186 1288 ] concat K
3295 ; 444 1363 M (RSSV=0)[23 18 18 25 33 0]xS
3296 N 438 1538 M 438 1680 I 442 1680 I 442 1538 I 438 1538 I C
3297 : L ; : [ 1 0 0 1 186 1288 ] concat K
3298 ; N 445 1672 M 440 1680 I 436 1672 I 445 1672 I C
3299 : O ; : [ 1 0 0 1 186 1288 ] concat K
3300 ; N 445 1674 M 443 1671 I 438 1679 I 442 1679 I 438 1671 I 436 1674 I 445 1674 I 448 1670 I 433 1670 I 440 1684 I 448 1670 I 445 1674 I C
3301 : L ; : [ 1 0 0 1 186 1288 ] concat K
3302 ; N 439 1788 M 439 1930 I 443 1930 I 443 1788 I 439 1788 I C
3303 : L ; : [ 1 0 0 1 186 1288 ] concat K
3304 ; N 445 1922 M 441 1930 I 437 1922 I 445 1922 I C
3305 : O ; : [ 1 0 0 1 186 1288 ] concat K
3306 ; N 445 1924 M 443 1921 I 439 1929 I 443 1929 I 439 1921 I 437 1924 I 445 1924 I 448 1920 I 434 1920 I 441 1934 I 448 1920 I 445 1924 I C
3307 : L ; : [ 1 0 0 1 186 1288 ] concat K
3308 ; 498 1604 M (G)S
3309 /F0S16YFFFFFFEF F0 [22.652 0 0 -17 0 0 ] mFS
3310 F0S16YFFFFFFEF Ji
3311 524 1601 M (1)S
3312 F0S2BYFFFFFFDF Ji
3313 447 1644 M (RSSV=1)[23 18 18 25 33 0]xS
3314 N 694 1742 M 841 1741 I 841 1485 I 698 1484 I 698 1488 I 840 1488 I 838 1486 I 838 1740 I 840 1738 I 694 1738 I 694 1742 I C
3315 : L ; : [ 1 0 0 1 186 1288 ] concat K
3316 ; N 706 1490 M 698 1486 I 706 1482 I 706 1490 I C
3317 : O ; : [ 1 0 0 1 186 1288 ] concat K
3318 ; N 704 1490 M 707 1488 I 699 1484 I 699 1488 I 707 1484 I 704 1482 I 704 1490 I 708 1493 I 708 1479 I 694 1486 I 708 1493 I 704 1490 I C
3319 : L ; : [ 1 0 0 1 186 1288 ] concat K
3320 ; 455 1876 M (G)S
3321 F0S16YFFFFFFEF Ji
3322 481 1873 M (2)S
3323 F1S2A Ji
3324 186 2134 M (Figure )[26 12 26 26 16 23 0]xS
3325 327 2134 M (3)S
3326 350 2134 M (: EHM Model Of Interrupt Source)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 12 26 14 23 16 16 26 26 14 12 28 26 26 16 23 0]xS
3327 F0S2A Ji
3328 75 2233 M (Figure )[26 10 23 23 14 23 0]xS
3329 215 2233 M (3)S
3330 238 2233 M ( shows the three categories of configurations)[21 20 23 23 29 20 21 12 23 23 22 12 23 14 23 23 22 21 23 12 23 23 23 14 10 23 20 22 23 13 22 21
3331 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
3332 75 2281 M (that will be present an EHM IS model. The)[12 23 23 12 39 29 10 10 10 40 23 23 40 23 14 23 20 23 23 12 40 23 23 40 28 30 35 40 12 28 40 36
3333 23 23 23 10 12 40 40 26 23 0]xS
3334 75 2329 M (microprocessor system will normally reset into a state)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 20 20 21 20 12 23 36 20 29 10 10 10 20 23 23 14 36 23
3335 10 10 21 20 14 23 20 23 12 20 10 23 12 23 20 23 21 20 12 23 12 0]xS
3336 75 2377 M (where no IS is requesting service, hence the initial)[29 23 23 14 23 26 23 23 26 12 28 26 10 20 27 14 23 23 23 23 20 12 10 23 23 27 20 23 14 23 10 21
3337 23 12 27 23 23 23 21 23 27 12 23 23 27 10 23 10 12 10 23 0]xS
3338 75 2425 M (RSSV of zero. After the system begins operation, at)[30 28 28 28 20 23 13 20 21 23 14 23 12 20 20 28 13 12 23 14 20 12 23 23 21 20 21 20 12 23 36 21
3339 23 23 23 10 23 20 21 23 23 23 14 23 12 10 23 23 12 21 23 0]xS
3340 75 2473 M (some point the IS may change configuration so that it is)[20 23 36 23 13 23 23 10 23 12 13 12 23 23 13 12 28 14 36 23 21 14 21 23 23 23 23 23 14 21 23 23
3341 13 10 23 23 14 23 12 10 23 23 14 20 23 14 12 23 23 12 14 10 12 14 10 0]xS
3342 75 2521 M (requesting service from the SS; G)[14 23 23 23 23 20 12 10 23 23 20 20 23 14 23 10 21 23 20 13 14 23 36 21 12 23 23 21 28 28 12 21
3343 0]xS
3344 F0S1B Ji
3345 751 2527 M (1)S
3346 F0S2A Ji
3347 766 2521 M ( may involve both)[21 36 23 21 21 10 23 23 23 10 23 23 21 23 23 12 0]xS
3348 75 2569 M (time and events. Once the IS is requesting service,)[12 10 36 23 21 23 23 23 21 23 23 23 23 12 20 12 22 22 33 23 21 23 22 12 23 23 22 12 28 22 10 20
3349 22 14 23 23 23 23 20 12 10 23 23 22 20 23 14 23 10 21 23 0]xS
3350 75 2617 M (exactly two outcomes are possible. Either the SS will)[23 22 23 21 12 10 21 18 12 29 23 18 23 23 12 21 23 36 23 20 18 23 14 23 18 23 23 20 20 10 23 10
3351 23 12 18 19 28 10 12 23 23 14 19 12 23 23 19 28 28 19 29 10 10 0]xS
3352 75 2665 M (interact with the IS in a timely fashion to bring the IS to)[10 23 12 23 14 23 21 12 14 29 10 12 23 14 12 23 23 14 12 28 14 10 23 15 23 15 12 10 36 23 10 21
3353 15 13 23 20 23 10 23 23 15 12 23 15 23 14 10 23 23 15 12 23 23 15 12 28 15 12 0]xS
3354 75 2713 M (a configuration where it is no longer requesting service)[23 16 21 23 23 13 10 23 23 14 23 12 10 23 23 16 29 23 23 14 23 16 10 12 16 10 20 17 23 23 17 10
3355 23 23 23 23 14 17 14 23 23 23 23 20 12 10 23 23 17 20 23 14 23 10 21 0]xS
3356 75 2764 M (\(in the figure, )[14 10 23 20 12 23 23 20 13 10 23 23 14 23 12 0]xS
3357 F4S2A Ji
3358 358 2764 M (s)S
3359 F0S2A Ji
3360 383 2764 M ( represents an OE from the SS EHM)[21 14 23 23 14 23 20 23 23 12 20 21 23 23 21 33 28 21 13 14 23 36 21 12 23 23 21 28 28 21 28 30
3361 0]xS
3362 : N 358 2769 24 2 rp C
3363 L ; 75 2812 M (which effects a state change in the IS\), or else)[29 23 10 21 23 33 23 13 13 23 21 12 20 33 23 33 20 12 23 12 23 33 21 23 23 23 23 23 33 10 23 33
3364 12 23 23 34 12 28 14 12 34 23 14 34 23 10 20 0]xS
3365 75 2860 M (eventually G)[23 23 23 23 12 23 23 10 10 21 13 0]xS
3366 F0S1B Ji
3367 312 2866 M (2)S
3368 F0S2A Ji
3369 327 2860 M ( will be met and the configuration of the IS)[13 29 10 10 10 13 23 23 13 36 23 12 13 23 23 23 13 12 23 23 13 21 23 23 13 10 23 23 14 23 12 10
3370 23 23 14 23 13 14 12 23 23 14 12 0]xS
3371 75 2908 M (will be deemed illegal.)[29 10 10 10 12 23 23 12 23 23 23 36 23 23 12 10 10 10 23 23 23 10 0]xS
3372 75 3006 M (Figure )[26 10 23 23 14 23 0]xS
3373 226 3006 M (3)S
3374 249 3006 M ( is diagrammatic only, in that almost no)[32 10 20 33 23 10 23 23 14 23 36 36 23 12 10 21 33 23 23 10 21 12 33 10 23 33 12 23 23 12 33 23
3375 10 36 23 20 12 33 23 0]xS
3376 75 3054 M (practical IS can be modeled with only three)[23 14 23 21 12 10 21 23 10 47 12 28 47 21 23 23 47 23 23 48 36 23 23 23 10 23 23 48 29 10 12 23
3377 48 23 23 10 21 48 12 23 14 23 0]xS
3378 1275 156 M (configurations. Each rectangle in the figure represents)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 16 17 28 23 21 23 17 14 23 21 12 23 23 23 10 23 17
3379 10 23 17 12 23 23 17 13 10 23 23 14 23 17 14 23 23 14 23 20 23 23 12 0]xS
3380 1275 204 M (a set of configurations. The configuration of the IS will)[23 15 20 23 12 15 23 13 15 21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 16 16 26 23 23 16 21 23
3381 23 13 10 23 23 14 23 12 10 23 23 16 23 13 16 12 23 23 16 12 28 16 29 10 10 0]xS
3382 1275 252 M (typically evolve through many configurations before the)[12 21 23 10 21 23 10 10 21 15 23 23 23 10 23 23 15 12 23 14 23 23 23 23 15 36 23 23 21 15 21 23
3383 23 13 10 23 23 14 23 12 10 23 23 20 16 23 23 13 23 14 23 16 12 23 0]xS
3384 1275 300 M (IS requests service, hence G)[12 28 23 14 23 23 23 23 20 12 20 23 20 23 14 23 10 21 23 12 23 23 23 23 21 23 24 0]xS
3385 F0S1B Ji
3386 1858 306 M (1)S
3387 F0S2A Ji
3388 1873 300 M ( in the figure is not a)[24 10 23 24 12 23 23 24 13 10 23 23 14 23 24 10 20 24 23 23 12 24 0]xS
3389 1275 348 M (single guard, but rather a collection of guards on)[20 10 23 23 10 23 31 23 23 23 14 23 12 31 23 23 12 31 14 23 12 23 23 14 31 23 31 21 23 10 10 23
3390 21 12 10 23 23 31 23 13 31 23 23 23 14 23 20 32 23 0]xS
3391 1275 396 M (potentially many transitions which define the boundary)[23 23 12 23 23 12 10 23 10 10 21 19 36 23 23 21 19 12 14 23 23 20 10 12 10 23 23 20 19 29 23 10
3392 21 23 19 23 23 13 10 23 23 19 12 23 23 20 23 23 23 23 23 23 14 0]xS
3393 1275 444 M (or the horizon between the set of configurations where)[23 14 17 12 23 23 17 23 23 14 10 21 23 23 17 23 23 12 29 23 23 23 17 12 23 23 18 20 23 12 18 23
3394 13 18 21 23 23 13 10 23 23 14 23 12 10 23 23 20 18 29 23 23 14 0]xS
3395 1275 492 M (the IS is not requesting service and the set of)[12 23 23 35 12 28 35 10 20 35 23 23 12 35 14 23 23 23 23 20 12 10 23 23 35 20 23 14 23 10 21 23
3396 35 23 23 23 36 12 23 23 36 20 23 12 36 23 0]xS
3397 1275 540 M (configurations where the IS is requesting service. G)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 20 29 23 23 14 23 20 12 23 23 20 12 28 20 10 20 20 14
3398 23 23 23 23 20 12 10 23 23 20 20 23 14 23 10 21 23 12 20 21 0]xS
3399 F0S1B Ji
3400 2310 546 M (2)S
3401 F0S2A Ji
3402 1275 591 M (and )[23 23 23 0]xS
3403 F4S2A Ji
3404 1356 591 M (s)S
3405 F0S2A Ji
3406 1381 591 M ( are boundaries or horizons in the same sense.)[12 23 14 23 12 23 23 23 23 23 23 14 10 23 20 12 23 14 12 23 23 14 10 21 23 23 20 12 10 23 12 12
3407 23 23 12 20 23 36 23 12 20 23 23 20 23 0]xS
3408 : N 1356 596 24 2 rp C
3409 L ; 1275 689 M (Although this is not required by the underlying)[28 10 12 23 23 23 23 23 40 12 23 10 20 40 10 20 40 23 23 12 41 14 23 23 23 10 14 23 23 41 23 21
3410 41 12 23 23 41 23 23 23 23 14 10 21 10 23 0]xS
3411 1275 737 M (mathematical framework, our design rules \(presented)[36 23 12 23 23 36 23 12 10 21 23 10 24 13 14 23 36 23 29 23 14 21 12 24 23 23 14 24 23 23 20 10
3412 23 23 24 14 23 10 23 20 24 14 23 14 23 20 23 23 12 23 0]xS
3413 1275 785 M (later\) embrace models where the RSSV is assigned)[10 23 12 23 14 14 25 23 36 23 14 23 21 23 25 36 23 23 23 10 20 25 29 23 23 14 23 25 12 23 23 25
3414 30 28 28 28 26 10 20 26 23 20 20 10 23 23 23 0]xS
3415 1275 833 M (consistently in each transition into a configuration, so)[21 23 23 20 10 20 12 23 23 12 10 21 21 10 23 21 23 23 21 23 22 12 14 23 23 20 10 12 10 23 23 22
3416 10 23 12 23 22 23 22 21 23 23 13 10 23 23 14 23 12 10 23 23 12 22 20 0]xS
3417 1275 881 M (that the RSSV is a function of the configuration only.)[12 23 23 12 12 12 23 23 12 30 28 28 28 12 10 20 12 23 12 13 23 23 21 12 10 23 23 12 23 13 12 12
3418 23 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 23 10 21 0]xS
3419 1275 979 M (Each IS model has a single illegal configuration \(ILC\).)[28 23 21 23 18 12 28 18 36 23 23 23 10 18 23 23 20 18 23 18 20 10 23 23 10 23 19 10 10 10 23 23
3420 23 10 19 21 23 23 13 10 23 23 14 23 12 10 23 23 19 14 12 23 30 14 0]xS
3421 1275 1027 M (All transitions leading into the ILC reflect a situation)[28 10 10 23 12 14 23 23 20 10 12 10 23 23 20 24 10 23 23 23 10 23 23 24 10 23 12 23 24 12 23 23
3422 24 12 23 30 24 14 23 13 10 23 21 12 24 23 24 20 10 12 23 23 12 10 23 0]xS
3423 1275 1075 M (where the SS was not able to prevent an undesirable)[29 23 23 14 23 19 12 23 23 19 28 28 20 29 23 20 20 23 23 12 20 23 23 10 23 20 12 23 20 23 14 23
3424 23 23 23 12 20 23 23 20 23 23 23 23 20 10 14 23 23 10 0]xS
3425 1275 1123 M (state change in the IS through timely interaction. In a)[20 12 23 12 23 17 21 23 23 23 23 23 17 10 23 17 12 23 23 17 12 28 18 12 23 14 23 23 23 23 18 12
3426 10 36 23 10 21 18 10 23 12 23 14 23 21 12 10 23 23 12 18 18 12 23 18 0]xS
3427 1275 1171 M (practical system, events which lead to the ILC may be a)[23 14 23 21 12 10 21 23 10 13 20 21 20 12 23 36 12 13 23 23 23 23 12 20 13 29 23 10 21 23 13 10
3428 23 23 23 13 12 23 13 12 23 23 13 12 23 30 14 36 23 21 14 23 23 14 0]xS
3429 1275 1219 M (buffer overflow \(in the case of a UART\), a missed)[23 23 13 13 23 14 26 23 23 23 14 13 10 23 29 26 14 10 23 26 12 23 23 26 21 23 20 23 26 23 13 26
3430 23 27 30 28 30 26 14 12 27 23 27 36 10 20 20 23 0]xS
3431 1275 1267 M (message \(in the case of a network communication)[36 23 20 20 23 23 23 28 14 10 23 29 12 23 23 29 21 23 20 23 29 23 13 29 23 29 23 23 12 29 23 14
3432 21 29 21 23 36 36 23 23 10 21 23 12 10 23 0]xS
3433 1275 1315 M (peripheral\), or a periodic interrupt which is not fully)[23 23 14 10 23 23 23 14 23 10 14 12 25 23 14 25 23 26 23 23 14 10 23 23 10 21 26 10 23 12 23 14
3434 14 23 23 12 26 29 23 10 21 23 26 10 20 26 23 23 12 26 13 23 10 10 0]xS
3435 1275 1363 M (processed before the next similar interrupt occurs \(a lost)[23 14 23 21 23 20 20 23 23 12 23 23 13 23 14 23 12 12 23 23 13 23 23 22 12 13 20 10 36 10 10 23
3436 14 13 10 23 12 23 14 14 23 23 12 13 23 21 21 23 14 20 13 14 23 13 10 23 20 0]xS
3437 1275 1411 M (\223timetick\224\).)[14 12 10 36 23 12 10 21 21 14 14 0]xS
3438 1275 1509 M (The transitions leading into the ILC may represent)[26 23 23 29 12 14 23 23 20 10 12 10 23 23 20 29 10 23 23 23 10 23 23 29 10 23 12 23 30 12 23 23
3439 30 12 23 30 30 36 23 21 30 14 23 23 14 23 20 23 23 0]xS
3440 1275 1557 M (situations which are very disparate in their nature and)[20 10 12 23 23 12 10 23 23 20 19 29 23 10 21 23 19 23 14 23 19 23 23 14 21 19 23 10 20 23 23 14
3441 23 12 23 19 10 23 19 12 23 23 10 14 20 23 23 12 23 14 23 20 23 23 0]xS
3442 1275 1605 M (severity; the only requirement is that these situations are)[20 23 23 23 14 10 12 21 12 12 12 23 23 12 23 23 10 21 12 14 23 23 23 10 14 23 36 23 23 12 12 10
3443 20 12 12 23 23 12 12 12 23 23 20 23 12 20 10 12 23 23 12 10 23 23 20 12 23 14 0]xS
3444 1275 1653 M (arbitrarily deemed undesirable in the system. It is not)[23 14 23 10 12 14 23 14 10 10 21 18 23 23 23 36 23 23 18 23 23 23 23 20 10 14 23 23 10 23 18 10
3445 23 18 12 23 23 18 20 21 20 12 23 36 12 18 18 12 12 18 10 20 19 23 23 0]xS
3446 1275 1701 M (required that each transition leading into the ILC)[14 23 23 23 10 14 23 23 34 12 23 23 12 34 23 23 21 23 34 12 14 23 23 20 10 12 10 23 23 34 10 23
3447 23 23 10 23 23 35 10 23 12 23 35 12 23 23 35 12 23 0]xS
3448 1275 1749 M (represent a catastrophic event. It would be possible, as)[14 23 23 14 23 20 23 23 12 14 23 14 21 23 12 23 20 12 14 23 23 23 10 21 14 23 23 23 23 12 12 14
3449 14 12 12 14 29 23 23 10 23 14 23 23 14 23 23 20 20 10 23 10 23 12 14 23 0]xS
3450 1275 1797 M (a modeling example, to tighten the notion of desirability)[23 14 36 23 23 23 10 10 23 23 14 23 22 23 36 23 10 23 12 14 12 23 14 12 10 23 23 12 23 23 15 12
3451 23 23 15 23 23 12 10 23 23 15 23 13 15 23 23 20 10 14 23 23 10 10 10 12 0]xS
3452 1275 1845 M (in order to ensure a system with a certain safety factor)[10 23 16 23 14 23 23 14 16 12 23 16 23 23 20 23 14 23 16 23 16 20 21 20 12 23 36 16 29 10 12 23
3453 16 23 17 21 23 14 12 23 10 23 17 20 23 13 23 12 21 17 13 23 21 12 23 0]xS
3454 1275 1893 M (or timing margin, or to rule out severe jitter in a timetick)[23 14 13 12 10 36 10 23 23 13 36 23 14 23 10 23 12 13 23 14 13 12 23 14 14 23 10 23 14 23 23 12
3455 14 20 23 23 23 14 23 14 10 10 12 12 23 14 14 10 23 14 23 14 12 10 36 23 12 10 21 0]xS
3456 1275 1941 M (ISR.)[12 28 30 0]xS
3457 1275 2039 M (For the modeling approach presented here, the EHM)[26 23 14 22 12 23 23 22 36 23 23 23 10 10 23 23 22 23 23 23 14 23 23 21 23 22 23 14 23 20 23 23
3458 12 23 23 22 23 23 14 23 12 22 12 23 23 23 28 30 0]xS
3459 1275 2087 M (timing model ceases to represent the modeled system)[12 10 36 10 23 23 18 36 23 23 23 10 18 21 23 23 20 23 20 18 12 23 19 14 23 23 14 23 20 23 23 12
3460 19 12 23 23 19 36 23 23 23 10 23 23 19 20 21 20 12 23 0]xS
3461 1275 2135 M (at the ILC boundary. The timing models constructed)[23 12 21 12 23 23 21 12 23 30 21 23 23 23 23 23 23 14 21 12 21 21 26 23 23 22 12 10 36 10 23 23
3462 22 36 23 23 23 10 20 22 21 23 23 20 12 14 23 21 12 23 0]xS
3463 1275 2183 M (therefore do not accurately model the behavior of a)[12 23 23 14 23 13 23 14 23 24 23 23 24 23 23 12 24 23 21 21 23 14 23 12 23 10 21 24 36 23 23 23
3464 10 24 12 23 23 24 23 23 23 23 23 10 23 14 24 23 13 25 0]xS
3465 1275 2231 M (system in which any ILC is reachable. In practice, this)[20 21 20 12 23 36 16 10 23 16 29 23 10 21 23 16 23 23 21 16 12 23 30 16 10 20 16 14 23 23 21 23
3466 23 23 10 23 12 16 17 12 23 17 23 14 23 21 12 10 21 23 12 17 12 23 10 0]xS
3467 1275 2279 M (tends to be because the ILC is a modeling \223catch-all\224,)[12 23 23 23 20 18 12 23 18 23 23 18 23 23 21 23 23 20 23 19 12 23 23 19 12 23 30 19 10 20 19 23
3468 19 36 23 23 23 10 10 23 23 19 14 21 23 12 21 23 14 23 10 10 14 0]xS
3469 1275 2327 M (which may map to many disparate undesirable)[29 23 10 21 23 43 36 23 21 43 36 23 23 43 12 23 43 36 23 23 21 43 23 10 20 23 23 14 23 12 23 43
3470 23 23 23 23 20 10 14 23 23 10 0]xS
3471 1275 2375 M (configurations in the modeled system. Mathematically,)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 16 10 23 16 12 23 23 16 36 23 23 23 10 23 23 17 20 21
3472 20 12 23 36 12 17 17 35 23 12 23 23 36 23 12 10 21 23 10 10 21 0]xS
3473 1275 2423 M (this point is more profound\227if no ILC is reachable, then)[12 23 10 20 13 23 23 10 23 12 13 10 20 13 36 23 14 23 13 23 14 23 13 23 23 23 23 42 10 13 13 23
3474 23 14 12 23 30 14 10 20 14 14 23 23 21 23 23 23 10 23 12 14 12 23 23 0]xS
3475 1275 2471 M (the ILCs can be discarded from the CHM, in effect they)[12 23 23 14 12 23 30 20 14 21 23 23 14 23 23 14 23 10 20 21 23 14 23 23 23 15 13 14 23 36 15 12
3476 23 23 15 30 30 35 12 15 10 23 15 23 13 13 23 21 12 15 12 23 23 0]xS
3477 1275 2519 M (are not truly part of the model.)[23 14 23 12 23 23 12 12 12 14 23 10 21 12 23 23 14 12 12 23 13 12 12 23 23 12 36 23 23 23 10 0]xS
3478 1275 2715 M (OVERVIEW OF INTERACTIONS BETWEEN)[33 28 28 30 28 12 28 42 79 33 26 80 12 30 26 28 30 28 30 26 12 33 30 28 80 28 28 26 42 28 28 0]xS
3479 1275 2763 M (SOFTWARE SYSTEM AND SOURCES OF)[28 33 26 26 42 28 30 28 70 28 28 28 26 28 35 70 28 30 30 71 28 33 30 30 30 28 28 71 33 0]xS
3480 1275 2811 M (INTERRUPT)[12 30 26 28 30 30 30 28 0]xS
3481 1275 2909 M (As we explored the adequacy of the hybrid system)[28 20 26 29 23 26 23 22 23 10 23 14 23 23 26 12 23 23 26 23 23 23 23 23 23 21 21 26 23 13 27 12
3482 23 23 27 23 21 23 14 10 23 27 20 21 20 12 23 0]xS
3483 1275 2957 M (mathematical framework in solving the interrupt latency)[36 23 12 23 23 36 23 12 10 21 23 10 15 13 14 23 36 23 29 23 14 21 15 10 23 15 20 23 10 23 10 23
3484 23 15 12 23 23 16 10 23 12 23 14 14 23 23 12 16 10 23 12 23 23 21 0]xS
3485 1275 3005 M (compatibility problem, about a dozen pairs of EHM)[21 23 36 23 23 12 10 23 10 10 10 12 21 27 23 14 23 23 10 23 36 12 27 23 23 23 23 12 27 23 28 23
3486 23 21 23 23 28 23 23 10 14 20 28 23 13 28 28 30 0]xS
3487 1275 3053 M (models were developed for ISs and their corresponding)[36 23 23 23 10 20 15 29 23 14 23 15 23 23 23 23 10 23 23 23 23 15 13 23 14 15 12 28 20 16 23 23
3488 23 16 12 23 23 10 14 16 21 23 14 14 23 20 23 23 23 23 10 23 0]xS
3489 LH
3490 (%%[Page: 7]%%) =
3491 %%PageTrailer
3492
3493 %%Page: 8 8
3494 %%PageBoundingBox: 18 8 593 784
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3497 /DeviceRGB dup setcolorspace /colspABC exch def
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3500
3501 0 0 0 1 scol 1185 3158 M (8)S
3502 75 156 M (ISRs. We have noted similarities in all of our refined)[12 28 30 20 12 18 18 42 23 19 23 23 23 23 19 23 23 12 23 23 19 20 10 36 10 10 23 14 10 12 10 23
3503 20 19 10 23 19 23 10 10 19 23 13 19 23 23 14 19 14 23 13 10 23 23 0]xS
3504 75 204 M (models, and these similarities suggest preferred)[36 23 23 23 10 20 12 44 23 23 23 44 12 23 23 20 23 44 20 10 36 10 10 23 14 10 12 10 23 20 44 20
3505 23 23 23 23 20 12 45 23 14 23 13 23 14 14 23 0]xS
3506 75 252 M (modeling approaches or design rules, which we present)[36 23 23 23 10 10 23 23 15 23 23 23 14 23 23 21 23 23 20 15 23 14 15 23 23 20 10 23 23 15 14 23
3507 10 23 20 12 15 29 23 10 21 23 15 29 23 16 23 14 23 20 23 23 0]xS
3508 75 300 M (here.)[23 23 14 23 0]xS
3509 75 398 M (1. )[23 12 0]xS
3510 122 398 M ( )S
3511 150 398 M (Each IS EHM maintains a single RSSV, with a value)[28 23 21 23 12 12 28 12 28 30 35 12 36 23 10 23 12 23 10 23 20 12 23 12 20 10 23 23 10 23 12 30
3512 28 28 28 12 12 29 10 12 23 13 23 13 23 23 10 23 0]xS
3513 150 446 M (of zero indicating that no service is required, and a)[23 13 15 21 23 14 23 16 10 23 23 10 21 23 12 10 23 23 16 12 23 23 12 16 23 23 16 20 23 14 23 10
3514 21 23 16 10 20 16 14 23 23 23 10 14 23 23 12 16 23 23 23 16 0]xS
3515 150 494 M (value greater than zero indicating that service is)[23 23 10 23 23 23 23 14 23 23 12 23 14 24 12 23 23 23 24 21 23 14 23 24 10 23 23 10 21 23 12 10
3516 23 23 24 12 23 23 12 24 20 23 14 23 10 21 23 24 10 0]xS
3517 150 542 M (required.)[14 23 23 23 10 14 23 23 0]xS
3518 75 640 M (2. )[23 12 0]xS
3519 122 640 M ( )S
3520 150 640 M (RSSVs appear in the guards of transitions in the SS)[30 28 28 28 20 13 23 23 23 23 23 14 13 10 23 13 12 23 23 13 23 23 23 14 23 20 14 23 13 14 12 14
3521 23 23 20 10 12 10 23 23 20 14 10 23 14 12 23 23 14 28 0]xS
3522 150 688 M (EHM leading from the RTPI state, with hardware)[28 30 35 22 10 23 23 23 10 23 23 22 13 14 23 36 23 12 23 23 23 30 26 28 12 23 20 12 23 12 23 12
3523 23 29 10 12 23 23 23 23 14 23 29 23 14 0]xS
3524 150 736 M (interrupt priority resolution modeled as discussed)[10 23 12 23 14 14 23 23 12 25 23 14 10 23 14 10 12 21 25 14 23 20 23 10 23 12 10 23 23 25 36 23
3525 23 23 10 23 23 25 23 20 26 23 10 20 21 23 20 20 23 0]xS
3526 150 784 M (earlier.)[23 23 14 10 10 23 14 0]xS
3527 75 882 M (3. )[23 12 0]xS
3528 122 882 M ( )S
3529 150 882 M (Within each of the ISRs of the SS EHM,)[42 10 12 23 10 23 40 23 23 21 23 40 23 13 41 12 23 23 41 12 28 30 20 41 23 13 41 12 23 23 41 28
3530 28 41 28 30 35 0]xS
3531 150 930 M (assumptions can be made about the configuration of)[23 20 20 23 36 23 12 10 23 23 20 12 21 23 23 12 23 23 12 36 23 23 23 12 23 23 23 23 12 12 12 23
3532 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 13 23 0]xS
3533 150 978 M (the corresponding IS, so it is known that OEs from)[12 23 23 16 21 23 14 14 23 20 23 23 23 23 10 23 23 16 12 28 12 17 20 23 17 10 12 17 10 20 17 21
3534 23 23 29 23 17 12 23 23 12 17 33 28 20 17 13 14 23 0]xS
3535 150 1026 M (the SS will have a specific effect on the)[12 23 23 42 28 28 42 29 10 10 10 42 23 23 23 23 42 23 42 20 23 23 21 10 13 10 21 42 23 13 13 23
3536 21 12 42 23 23 43 12 23 0]xS
3537 150 1074 M (configuration of the IS.)[21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 13 12 12 23 23 12 12 28 0]xS
3538 75 1172 M (4. )[23 12 0]xS
3539 122 1172 M ( )S
3540 150 1172 M (Each IS has exactly one ILC, which is a modeling)[28 23 21 23 18 12 28 18 23 23 20 18 23 22 23 21 12 10 21 18 23 23 23 18 12 23 30 12 19 29 23 10
3541 21 23 19 10 20 19 23 19 36 23 23 23 10 10 23 0]xS
3542 150 1220 M (\223catch-all\224 for any situation deemed arbitrarily)[14 21 23 12 21 23 14 23 10 10 14 38 13 23 14 38 23 23 21 38 20 10 12 23 23 12 10 23 23 39 23 23
3543 23 36 23 23 39 23 14 23 10 12 14 23 14 10 10 0]xS
3544 150 1268 M (undesirable.)[23 23 23 23 20 10 14 23 23 10 23 0]xS
3545 75 1366 M (5. )[23 12 0]xS
3546 122 1366 M ( )S
3547 150 1366 M (Each RSSV is assigned consistently in IS transitions)[28 23 21 23 12 30 28 28 28 13 10 20 13 23 20 20 10 23 23 23 23 13 21 23 23 20 10 20 12 23 23 12
3548 10 21 13 10 23 13 12 28 13 12 14 23 23 20 10 12 10 23 23 0]xS
3549 150 1414 M (so that it is a function of the IS configuration only.)[20 23 12 12 23 23 12 12 10 12 12 10 20 12 23 12 13 23 23 21 12 10 23 23 12 23 13 12 12 23 23 12
3550 12 28 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 23 10 21 0]xS
3551 75 1512 M (6. )[23 12 0]xS
3552 122 1512 M ( )S
3553 150 1512 M (In addition to the RSSV, each IS may maintain)[12 23 25 23 23 23 10 12 10 23 23 25 12 23 25 12 23 23 25 30 28 28 28 12 26 23 23 21 23 26 12 28
3554 26 36 23 21 26 36 23 10 23 12 23 10 0]xS
3555 150 1560 M (additional SVs which allow the ISR model to \223sense\224)[23 23 23 10 12 10 23 23 23 10 12 28 28 20 13 29 23 10 21 23 13 23 10 10 23 29 13 12 23 23 13 12
3556 28 30 13 36 23 23 23 10 13 12 23 13 14 20 23 23 20 23 0]xS
3557 150 1608 M (the state of the IS and make branch decisions based)[12 23 23 12 20 12 23 12 23 12 23 13 12 12 23 23 12 12 28 12 23 23 23 12 36 23 21 23 12 23 14 23
3558 23 21 23 12 23 23 21 10 20 10 23 23 20 13 23 23 20 23 0]xS
3559 150 1656 M (on this state.)[23 23 12 12 23 10 20 12 20 12 23 12 23 0]xS
3560 75 1754 M (7. )[23 12 0]xS
3561 122 1754 M ( )S
3562 150 1754 M (An IS is designed so that an RSSV may not go from)[28 23 13 12 28 13 10 20 13 23 23 20 10 23 23 23 23 13 20 23 13 12 23 23 12 13 23 23 13 30 28 28
3563 28 13 36 23 21 13 23 23 12 13 23 23 13 13 14 23 0]xS
3564 150 1802 M (a value greater than zero to a value of zero or less)[23 15 23 23 10 23 23 15 23 14 23 23 12 23 14 15 12 23 23 23 15 21 23 14 23 15 12 23 15 23 15 23
3565 23 10 23 23 16 23 13 16 21 23 14 23 16 23 14 16 10 23 20 0]xS
3566 150 1850 M (without intervention from the corresponding ISR)[29 10 12 23 23 23 12 12 10 23 12 23 14 23 23 23 12 10 23 23 12 13 14 23 36 12 12 23 23 12 21 23
3567 14 14 23 20 23 23 23 23 10 23 23 12 12 28 0]xS
3568 F0S1B Ji
3569 1038 1829 M (8)S
3570 F0S2A Ji
3571 1053 1850 M (.)S
3572 75 1948 M (8. )[23 12 0]xS
3573 122 1948 M ( )S
3574 150 1948 M (Once an ISR is entered, the IS and the ISR may)[33 23 21 23 20 23 23 20 12 28 30 20 10 20 20 23 23 12 23 14 23 23 12 20 12 23 23 20 12 28 20 23
3575 23 23 20 12 23 23 20 12 28 30 21 36 23 0]xS
3576 150 1996 M (interact in an arbitrary fashion. Typically, the ISR is)[10 23 12 23 14 23 21 12 13 10 23 13 23 23 13 23 14 23 10 12 14 23 14 21 13 13 23 20 23 10 23 23
3577 12 14 14 26 21 23 10 21 23 10 10 21 12 14 12 23 23 14 12 28 30 14 10 0]xS
3578 150 2044 M (modeled to be a source of OEs which drive the state)[36 23 23 23 10 23 23 12 12 23 12 23 23 12 23 12 20 23 23 14 21 23 12 23 13 12 33 28 20 12 29 23
3579 10 21 23 12 23 14 10 23 23 13 12 23 23 13 20 12 23 12 0]xS
3580 150 2092 M (of the IS, and the ISR transitions contain guards)[23 13 22 12 23 23 22 12 28 12 22 23 23 23 23 12 23 23 23 12 28 30 23 12 14 23 23 20 10 12 10 23
3581 23 20 23 21 23 23 12 23 10 23 23 23 23 23 14 23 0]xS
3582 150 2140 M (involving SVs owned by the IS.)[10 23 23 23 10 23 10 23 23 12 28 28 20 12 23 29 23 23 23 12 23 21 12 12 23 23 12 12 28 0]xS
3583 75 2238 M (9. )[23 12 0]xS
3584 122 2238 M ( )S
3585 150 2238 M (ISRs each contain at least one exit to the RTPI)[12 28 30 20 23 23 23 21 23 23 21 23 23 12 23 10 23 23 23 12 23 10 23 23 20 12 24 23 23 23 24 23
3586 22 10 12 24 12 23 24 12 23 23 24 30 26 28 0]xS
3587 150 2286 M (configuration.)[21 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
3588 75 2384 M (In the following sections, models for typical ISs and their)[12 23 12 12 23 23 12 13 23 10 10 23 29 10 23 23 12 20 23 21 12 10 23 23 20 12 12 36 23 23 23 10
3589 20 13 13 23 14 13 12 21 23 10 21 23 10 13 12 28 20 13 23 23 23 13 12 23 23 10 0]xS
3590 75 2432 M (corresponding ISRs are presented. Each of these)[21 23 14 14 23 20 23 23 23 23 10 23 23 29 12 28 30 20 30 23 14 23 30 23 14 23 20 23 23 12 23 23
3591 12 30 30 28 23 21 23 30 23 13 30 12 23 23 20 0]xS
3592 75 2480 M (models adheres to the design rules presented above.)[36 23 23 23 10 20 12 23 23 23 23 14 23 20 12 12 23 12 12 23 23 12 23 23 20 10 23 23 12 14 23 10
3593 23 20 12 23 14 23 20 23 23 12 23 23 12 23 23 23 23 23 0]xS
3594 75 2676 M (PERIODIC INTERRUPT SOURCES)[28 28 30 12 33 30 12 30 12 12 30 26 28 30 30 30 28 26 12 28 33 30 30 30 28 0]xS
3595 75 2820 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3596 435 2820 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
3597 : N 75 2809 600 2 rp C
3598 L ; F0S1B Ji
3599 75 2847 M (8)S
3600 F0S2A Ji
3601 90 2868 M ( Practical ISs never release an asserted interrupt)[12 28 14 23 21 12 10 21 23 10 12 12 28 20 12 23 23 23 23 14 12 14 23 10 23 23 20 23 12 23 23 12
3602 23 20 20 23 14 12 23 23 12 10 23 12 23 14 14 23 23 0]xS
3603 75 2916 M (without SS intervention. If this design guideline is)[29 10 12 23 23 23 12 12 28 28 12 10 23 12 23 14 23 23 23 12 10 23 23 12 12 12 12 13 12 12 23 10
3604 20 12 23 23 20 10 23 23 12 23 23 10 23 23 10 10 23 23 12 10 0]xS
3605 75 2964 M (violated, guideline \(3\) cannot be applied, as the ISR has)[23 10 23 10 23 12 23 23 12 12 23 23 10 23 23 10 10 23 23 12 14 23 14 12 21 23 23 23 23 12 12 23
3606 23 12 23 23 23 10 10 23 23 12 12 23 20 12 12 23 23 12 12 28 30 12 23 23 0]xS
3607 75 3012 M (no assurances about the range of configurations of the)[23 23 12 23 20 20 23 14 23 23 21 23 20 12 23 23 23 23 12 12 12 23 23 12 14 23 23 23 23 12 23 13
3608 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 23 13 12 12 23 0]xS
3609 75 3060 M (IS.)[12 28 0]xS
3610 1275 156 M (Figure )[26 10 23 23 14 23 0]xS
3611 1413 156 M (4)S
3612 1436 156 M ( depicts the EHM model of a periodic IS. In)[19 23 23 23 10 21 12 20 19 12 23 23 20 28 30 35 20 36 23 23 23 10 20 23 13 20 23 20 23 23 14 10
3613 23 23 10 21 20 12 28 12 20 20 12 0]xS
3614 1275 204 M (configuration A \(the initial configuration\), the continuous)[21 23 23 13 10 23 23 14 23 12 10 23 23 14 28 14 14 12 23 23 14 10 23 10 12 10 23 10 14 21 23 23
3615 13 10 23 23 14 23 12 10 23 23 14 12 14 12 23 23 15 21 23 23 12 10 23 23 23 23 0]xS
3616 1275 252 M (variable )[23 23 14 10 23 23 10 23 0]xS
3617 F2S2A Ji
3618 1446 252 M (t)S
3619 F0S2A Ji
3620 1458 252 M ( advances with )[22 23 23 23 23 23 21 23 20 22 29 10 12 23 0]xS
3621 F2S2A Ji
3622 1778 252 M <7492>[12 0]xS
3623 F0S2A Ji
3624 1799 252 M (=1 to mimic elapsed time.)[25 23 23 12 23 23 36 10 36 10 21 23 23 10 23 23 20 23 23 23 12 10 36 23 0]xS
3625 1275 301 M (When )[42 23 23 23 0]xS
3626 F2S2A Ji
3627 1401 301 M (t)S
3628 F0S2A Ji
3629 1413 301 M ( becomes equal to K)[15 23 23 21 23 36 23 20 15 23 23 23 23 10 15 12 23 16 0]xS
3630 F0S1B Ji
3631 1808 307 M (1)S
3632 F0S2A Ji
3633 1823 301 M ( \(the period of the IS\), the)[16 14 12 23 23 16 23 23 14 10 23 23 16 23 13 16 12 23 23 16 12 28 14 12 16 12 23 0]xS
3634 1275 350 M (transition to configuration B is taken, the RSSV is set to)[12 14 23 23 20 10 12 10 23 23 14 12 23 14 21 23 23 13 10 23 23 14 23 12 10 23 23 14 28 14 10 20
3635 14 12 23 21 23 23 12 14 12 23 23 14 30 28 28 28 14 10 20 14 20 23 12 14 12 0]xS
3636 1275 398 M (signal that the IS requires software intervention, and )[20 10 23 23 23 10 13 12 23 23 12 13 12 23 23 14 12 28 14 14 23 23 23 10 14 23 20 14 20 23 13 12
3637 29 23 14 23 14 10 23 12 23 14 23 23 23 12 10 23 23 12 14 23 23 23 0]xS
3638 F2S2A Ji
3639 2269 398 M (t)S
3640 F0S2A Ji
3641 2281 398 M ( is)[14 10 0]xS
3642 1275 447 M (set to zero to begin measuring the next period. If the)[20 23 12 18 12 23 18 21 23 14 23 18 12 23 18 23 23 23 10 23 18 36 23 23 20 23 14 10 23 23 18 12
3643 23 23 18 23 23 22 12 18 23 23 14 10 23 23 12 18 18 12 13 18 12 23 0]xS
3644 1275 498 M (SS interacts with the IS before K)[28 28 13 10 23 12 23 14 23 21 12 20 13 29 10 12 23 13 12 23 23 13 12 28 13 23 23 13 23 14 23 13
3645 0]xS
3646 F0S1B Ji
3647 1886 504 M (2)S
3648 F0S2A Ji
3649 1901 498 M ( elapses by sending )[14 23 10 23 23 20 23 20 14 23 21 14 20 23 23 23 10 23 23 0]xS
3650 F4S2A Ji
3651 2288 498 M (s)S
3652 F0S2A Ji
3653 2313 498 M (,)S
3654 : N 2288 503 24 2 rp C
3655 L ; 1275 546 M (the IS drops its request for service. If the SS does not)[12 23 23 15 12 28 15 23 14 23 23 20 15 10 12 20 15 14 23 23 23 23 20 12 15 13 23 14 16 20 23 14
3656 23 10 21 23 12 16 16 12 13 16 12 23 23 16 28 28 16 23 23 23 20 16 23 23 0]xS
3657 1275 594 M (interact with the IS in a timely fashion, K)[10 23 12 23 14 23 21 12 17 29 10 12 23 17 12 23 23 17 12 28 17 10 23 17 23 17 12 10 36 23 10 21
3658 17 13 23 20 23 10 23 23 12 17 0]xS
3659 F0S1B Ji
3660 2064 600 M (2)S
3661 F0S2A Ji
3662 2079 594 M ( elapses and)[17 23 10 23 23 20 23 20 18 23 23 0]xS
3663 1275 642 M (the IS reaches the ILC. For a typical practical system,)[12 23 23 16 12 28 16 14 23 23 21 23 23 20 16 12 23 23 16 12 23 30 12 16 16 26 23 14 16 23 17 12
3664 21 23 10 21 23 10 17 23 14 23 21 12 10 21 23 10 17 20 21 20 12 23 36 0]xS
3665 1275 690 M (K)S
3666 F0S1B Ji
3667 1303 696 M (2)S
3668 F0S2A Ji
3669 1318 690 M (<K)[25 0]xS
3670 F0S1B Ji
3671 1371 696 M (1)S
3672 F0S2A Ji
3673 1386 690 M (, since usually an ISR must begin to run before)[12 19 20 10 23 21 23 19 23 20 23 23 10 10 21 19 23 23 20 12 28 30 20 36 23 20 12 20 23 23 23 10
3674 23 20 12 23 20 14 23 23 20 23 23 13 23 14 0]xS
3675 1275 738 M (the next periodic interrupt. Note that K)[12 23 23 23 23 23 22 12 23 23 23 14 10 23 23 10 21 23 10 23 12 23 14 14 23 23 12 12 23 23 30 23
3676 12 23 23 12 23 23 12 23 0]xS
3677 F0S1B Ji
3678 2073 744 M (2)S
3679 F0S2A Ji
3680 2088 738 M ( can be set)[23 21 23 23 23 23 23 23 20 23 0]xS
3681 1275 786 M (arbitrarily within this constraint to limit jitter of the)[23 14 23 10 12 14 23 14 10 10 21 29 29 10 12 23 10 23 29 12 23 10 20 29 21 23 23 20 12 14 23 10
3682 23 12 29 12 23 29 10 10 36 10 12 30 10 10 12 12 23 14 30 23 13 30 12 23 0]xS
3683 1275 834 M (associated ISR.)[23 20 20 23 21 10 23 12 23 23 12 12 28 30 0]xS
3684 Pscript_WinNT_Incr begin
3685 %%BeginResource: file Pscript_Win_Dib_L2 5.0 0
3686 /iw 0 d/ih 0 d/im_save 0 d/s 0 d/polarity 0 d/smoothflag 0 d/mystring 0 d/bpc 0
3687 d/maskcolor 0 d/mask? F d/setup1asciiproc{[currentfile mystring/readhexstring
3688 cvx/! cvx]cvx bind}b/setup1binaryproc{[currentfile mystring/readstring cvx/!
3689 cvx]cvx bind}b/setup2asciiproc{currentfile/ASCII85Decode filter/RunLengthDecode
3690 filter}b/setup2binaryproc{currentfile/RunLengthDecode filter}b/jpegasciiproc
3691 {currentfile/ASCII85Decode filter<</Relax 1>>/DCTDecode filter}b/jpegbinaryproc
3692 {currentfile<</Relax 1>>/DCTDecode filter}b/mycolorspace{colspABC}d/myimagedict
3693 {/myimagedict 10 dict d myimagedict @ `/ImageType 1 d/MultipleDataSource F d E}
3694 b/imageprocarray[/setup1binaryproc/setup1asciiproc/setup2binaryproc
3695 /setup2asciiproc/setup1binarydecodeproc/setup1asciidecodeproc]d/jpegprocarray[
3696 /jpegasciiproc/jpegbinaryproc]d/Q{/im_save save d scol imageprocarray ~ get/s ~
3697 , d/polarity ~ d/smoothflag ~ d +/dx 2 ^ d/dy 1 ^ d +S/mystring ~ string d/bpc
3698 ~ d/ih ~ d/iw ~ d fx rf}b/X{/im_save save d/mask? ~ d/maskcolor ~ d
3699 imageprocarray ~ get/s ~ , d/polarity ~ d/smoothflag ~ d +/dx 2 ^ d/dy 1 ^ d +S
3700 /mystring ~ string d/bpc ~ d/ih ~ d/iw ~ d}b/Z{im_save restore}b/beginjpeg{
3701 /jpeg_save save d jpegprocarray ~ get/jpegimageproc ~ , d + +S/bpc ~ d/ih ~ d
3702 /iw ~ d bpc 24 eq{/DeviceRGB}{/DeviceGray}? setcolorspace myimagedict @ `
3703 /ImageType 1 d/Width iw d/Height ih d/Decode bpc 24 eq{[0 1 0 1 0 1]}{[0 1]}? d
3704 /ImageMatrix[iw 0 0 ih 0 0]d/BitsPerComponent 8 d/DataSource jpegimageproc d E
3705 image}b/endjpeg{jpeg_save restore}b/Y{scol myimagedict @ ` mask?{/ImageType 4 d
3706 /MaskColor maskcolor d}if/Width iw d/Height ih d/Decode polarity{[1 0]}{[0 1]}?
3707 d/ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d/BitsPerComponent 1 d/Interpolate
3708 smoothflag d E imagemask}bd/doclutimage{/rgbclut ~ d bpc @ 8 eq{! 255}{4 eq{15}
3709 {3}?}?/hival ~ d[/Indexed currentcolorspace hival rgbclut]setcolorspace
3710 myimagedict @ ` mask?{/ImageType 4 d/MaskColor maskcolor d}if/Width iw d/Height
3711 ih d/Decode[0 hival]d/ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d
3712 /BitsPerComponent bpc d/Interpolate smoothflag d E image}b/doCMYKclutimage{
3713 /CMYKclut ~ d bpc @ 8 eq{! 255}{4 eq{15}{3}?}?/hival ~ d[/Indexed/DeviceCMYK
3714 hival CMYKclut]setcolorspace myimagedict @ ` mask?{/ImageType 4 d/MaskColor
3715 maskcolor d}if/Width iw d/Height ih d/Decode[0 hival]d/ImageMatrix[iw 0 0 ih 0
3716 0]d/DataSource s d/BitsPerComponent bpc d/Interpolate smoothflag d E image}b
3717 /doNimage{bpc 24 eq{currentcolorspace}{colspA}? setcolorspace myimagedict @ `
3718 mask?{/ImageType 4 d/MaskColor maskcolor d}if/Width iw d/Height ih d/Decode bpc
3719 24 eq{[0 1 0 1 0 1]}{[0 1]}? d/ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d
3720 /BitsPerComponent bpc 24 eq{8}{bpc}? d/Interpolate smoothflag d E image}b
3721 /doCMYKimage{/DeviceCMYK setcolorspace myimagedict @ ` mask?{/ImageType 4 d
3722 /MaskColor maskcolor d}if/Width iw d/Height ih d/Decode[0 1 0 1 0 1 0 1]d
3723 /ImageMatrix[iw 0 0 ih 0 0]d/DataSource s d/BitsPerComponent 8 d/Interpolate
3724 smoothflag d E image}b
3725 %%EndResource
3726 end reinitialize
3727 : 569 925 24 1707 353 576 1623 991 F F 3 [ 0 0 0 ] F
3728 X
3729 doNimage
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3752 JcC<$JcC<$JcC<$JcC<$JcDSHklB-2mf90`mf7q=JcC<$JcC<$JcC<$JcC<$qu;6IJcDSHkl?;7
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4254 nc6?&nc47@JcC<$n,MVPJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc6,unc6H)mf7q=JcC<$n,MVP
4255 JcC<$JcC<$JcC<$JcE%UklBZAnc72>nc6#rnc6Q,nc47@JcC<$m/Q;MJcC<$JcC<$JcC<$JcE%U
4256 klBZAnc72>nc6#rnc6Z/mf7q=JcC<$m/Q;MJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc5oonc6c2
4257 nc47@JcC<$l2TuJJcC<$JcC<$JcC<$JcE%UklBZAnc72>nc5oomf:Z5mf7q=JcC<$l2TuJJcC<$
4258 JcC<$JcC<$JcE%UklBZAnc72>nc5flmf:l;mf7q=JcC<$k5XZGJcC<$JcC<$JcC<$JcE%UklBZA
4259 nc72>nc5]ili>uDkl?;7JcC<$k5XZGJcC<$JcC<$JcC<$JcE%UklBZAnc72>[K,@fklC)MjoBu4
4260 JcC<$j8\?DJcC<$JcC<$JcC<$JcE%UklBZAnc72>[K,7c^AribJcC<$i;`$AJcC<$JcC<$JcC<$
4261 JcE%UklBZAnc72>[K,.`a8gekJcC<$gAgC;JcC<$JcC<$JcC<$JcE%UklBZAnc72>[K+qZe,Y("
4262 JcC<$eGnb5JcC<$JcC<$JcC<$JcE%Ukl?;7VZ5cYJcC<$JcEpnkl?;7JcC<$JcC<$JcC<$ZN'.h
4263 JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4264 ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4265 JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4266 JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4267 JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4268 kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4269 JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4270 JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4271 JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4272 ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4273 JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4274 JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4275 JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4276 kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4277 JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4278 JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4279 JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4280 ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4281 JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4282 JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4283 JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4284 kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4285 JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4286 JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4287 JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4288 ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4289 JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4290 JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4291 JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4292 kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4293 JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4294 JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4295 JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4296 ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4297 JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4298 JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4299 JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4300 kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4301 JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$
4302 JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.h
4303 JcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$
4304 ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$
4305 JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$
4306 JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7
4307 JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#
4308 kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$JcF:#kl?;7JcC<$JcC<$JcC<$ZN'.hJcC<$JcC<$
4309 JcF:#kl?;7JcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$
4310 V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)H
4311 JcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$
4312 JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$JcC<$ZN#IUJH16$JH16$V#Z)HJcC<$JcC<$
4313 JcC<$ZN#LUJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$f)G~> Z
4314 ; F1S2A Ji
4315 1590 1657 M (Figure )[26 12 26 26 16 23 0]xS
4316 1731 1657 M (4)S
4317 1754 1657 M (: Periodic IS)[14 12 12 28 23 16 12 26 26 12 23 12 12 0]xS
4318 F0S2A Ji
4319 1275 1854 M (CONSTANT EXECUTION TIME ISRS)[30 33 30 28 26 28 30 26 12 28 27 28 30 30 26 12 33 30 12 26 12 35 28 12 12 28 30 0]xS
4320 1275 1952 M (Figure )[26 10 23 23 14 23 0]xS
4321 1413 1952 M (5)S
4322 1436 1952 M ( depicts an ISR with constant execution time.)[19 23 23 23 10 21 12 20 19 23 23 19 12 28 30 20 29 10 12 23 20 21 23 23 20 12 23 23 12 20 23 22
4323 23 21 23 12 10 23 23 20 12 10 36 23 0]xS
4324 1275 2000 M (This ISR is a typical companion to Figure )[26 23 10 20 26 12 28 30 26 10 20 27 23 27 12 21 23 10 21 23 10 27 21 23 36 23 23 23 10 23 23 27
4325 12 23 27 26 10 23 23 14 23 0]xS
4326 2170 2000 M (4)S
4327 2193 2000 M (, as a)[12 27 23 20 27 0]xS
4328 1275 2048 M (\223timetick\224 ISR often has a constant execution time. On)[14 12 10 36 23 12 10 21 21 14 15 12 28 30 15 23 13 12 23 23 15 23 23 20 15 23 15 21 23 23 20 12
4329 23 23 12 15 23 22 23 21 23 12 10 23 23 16 12 10 36 23 12 16 16 33 0]xS
4330 1275 2099 M (the transition out of RTPI, the OE )[12 23 23 15 12 14 23 23 20 10 12 10 23 23 15 23 23 12 15 23 13 15 30 26 28 12 12 15 12 23 23 15
4331 33 28 0]xS
4332 F4S2A Ji
4333 1929 2099 M (s)S
4334 F0S2A Ji
4335 1954 2099 M ( is sent to the IS to)[15 10 20 16 20 23 23 12 16 12 23 16 12 23 23 16 12 28 16 12 0]xS
4336 1275 2147 M (effect a state change)[23 13 13 23 21 12 20 23 20 20 12 23 12 23 20 21 23 23 23 23 0]xS
4337 F0S1B Ji
4338 1689 2126 M (9)S
4339 F0S2A Ji
4340 1704 2147 M (, and an elapsed timer is reset.)[12 20 23 23 23 20 23 23 20 23 10 23 23 20 23 23 20 12 10 36 23 14 20 10 20 20 14 23 20 23 12 0]xS
4341 1275 2195 M (The SS EHM remains in its single configuration until the)[26 23 23 13 28 28 13 28 30 35 13 14 23 36 23 10 23 20 13 10 23 13 10 12 20 13 20 10 23 23 10 23
4342 13 21 23 23 13 10 23 23 14 23 12 10 23 23 14 23 23 12 10 10 14 12 23 0]xS
4343 1275 2243 M (modeled constant execution time K is exhausted, then it)[36 23 23 23 10 23 23 13 21 23 23 20 12 23 23 12 13 23 22 23 21 23 12 10 23 23 13 12 10 36 23 13
4344 28 13 10 20 13 23 22 23 23 23 20 12 23 23 12 14 12 23 23 23 14 10 0]xS
4345 1275 2291 M (returns to the RTPI configuration.)[14 23 12 23 14 23 20 12 12 23 12 12 23 23 12 30 26 28 12 12 21 23 23 13 10 23 23 14 23 12 10 23
4346 23 0]xS
4347 1275 2868 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4348 1635 2868 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4349 : N 1275 2857 600 2 rp C
4350 L ; F0S1B Ji
4351 1275 2895 M (9)S
4352 F0S2A Ji
4353 1290 2916 M ( This is an application of design rule \(3\), the ISR can)[12 26 23 10 20 12 10 20 12 23 23 12 23 23 23 10 10 21 23 12 10 23 23 12 23 13 12 23 23 20 10 23
4354 23 12 14 23 10 23 12 14 23 14 12 12 12 23 23 12 12 28 30 12 21 23 0]xS
4355 1275 2964 M (assume that the IS is asserting an interrupt; otherwise,)[23 20 20 23 36 23 12 12 23 23 12 12 12 23 23 12 12 28 12 10 20 12 23 20 20 23 14 12 10 23 23 12
4356 23 23 12 10 23 12 23 14 14 23 23 12 12 12 23 12 23 23 14 29 10 20 23 0]xS
4357 1275 3012 M (the guard in the SS model would prevent the ISR from)[12 23 23 12 23 23 23 14 23 12 10 23 12 12 23 23 12 28 28 12 36 23 23 23 10 12 29 23 23 10 23 12
4358 23 14 23 23 23 23 12 12 12 23 23 12 12 28 30 12 13 14 23 0]xS
4359 1275 3060 M (being entered.)[23 23 10 23 23 12 23 23 12 23 14 23 23 0]xS
4360 LH
4361 (%%[Page: 8]%%) =
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4363
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4371
4372 0 0 0 1 scol 1185 3158 M (9)S
4373 0 Lj 2 Lc 9 Lw : 86 144 547 626 rc N 554 649 M 554 723 I 164 723 I 164 222 I : 0.938 0.938 +S K
4374 ; ; 0 Lw N 164 186 M 186 231 I 143 231 I C
4375 : O ; : 0.938 0.938 +S K
4376 ; 9 Lw : 471 117 157 376 rc N 549 179 M 549 414 I : 0.938 0.938 +S K
4377 ; ; 0 Lw N 549 449 M 528 405 I 571 405 I C
4378 : O ; : 0.938 0.938 +S K
4379 ; 9 Lw N 404 449 M 704 449 I 704 649 I 404 649 I 404 449 I C
4380 : 1 1 1 1 scol O ; : 0.938 0.938 +S K
4381 ; /F0S29 F0 [41.281 0 0 -41.281 0 0 ] mFS
4382 F0S29 Ji
4383 521 562 M (t'=1)[12 8 24 0]xS
4384 N 458 128 203 47 rp C
4385 1 1 1 1 scol L 0 0 0 1 scol 458 166 M (From RTPI)[26 14 23 35 11 30 26 27 0]xS
4386 0.004 0 0 1 scol /F0S29 F0 [41.531 0 0 -41.531 0 0 ] mFS
4387 F0S29 Ji
4388 565 271 M ([G)[11 0]xS
4389 /F0S1B F0 [27.02 0 0 -27.02 0 0 ] mFS
4390 F0S1B Ji
4391 609 278 M (N)S
4392 F0S29 Ji
4393 628 271 M ( )S
4394 /F4S29 F4 [41.531 0 0 -41.531 0 0 ] mFS
4395 F4S29 Ji
4396 640 271 M <D9>S
4397 F0S29 Ji
4398 665 271 M ( )S
4399 F4S29 Ji
4400 676 271 M <D8>S
4401 F0S29 Ji
4402 706 271 M (G)S
4403 F0S1B Ji
4404 739 278 M (1)S
4405 F0S29 Ji
4406 754 271 M ( )S
4407 F4S29 Ji
4408 765 271 M <D9>S
4409 F0S29 Ji
4410 790 271 M ( )S
4411 F4S29 Ji
4412 802 271 M <D8>S
4413 F0S29 Ji
4414 831 271 M (G)S
4415 F0S1B Ji
4416 864 278 M (2)S
4417 F0S29 Ji
4418 879 271 M ( )S
4419 F4S29 Ji
4420 891 271 M <D9>S
4421 F0S29 Ji
4422 916 271 M ( \205 )[11 42 0]xS
4423 F4S29 Ji
4424 980 271 M <D9>S
4425 F0S29 Ji
4426 1005 271 M ( )S
4427 F4S29 Ji
4428 1017 271 M <D8>S
4429 F0S29 Ji
4430 1046 271 M (G)S
4431 F0S1B Ji
4432 1079 278 M (N-1)[20 9 0]xS
4433 F0S29 Ji
4434 1123 271 M (])S
4435 565 319 M (t=0)[11 24 0]xS
4436 F4S29 Ji
4437 565 369 M (s)S
4438 N 87 134 154 47 rp C
4439 1 1 1 1 scol L 0 0 0 1 scol F0S29 Ji
4440 87 172 M (To RTPI)[26 23 11 30 26 27 0]xS
4441 /F0S29 F0 [41.723 0 0 -41.723 0 0 ] mFS
4442 F0S29 Ji
4443 574 725 M ([t )[11 12 0]xS
4444 /F4S29 F4 [41.723 0 0 -41.723 0 0 ] mFS
4445 F4S29 Ji
4446 608 725 M <B3>S
4447 F0S29 Ji
4448 631 725 M ( K])[12 28 0]xS
4449 F1S2A Ji
4450 205 908 M (Figure )[26 12 26 26 16 23 0]xS
4451 346 908 M (5)S
4452 369 908 M (: Constant Execution Time ISR)[14 12 12 30 26 26 23 14 23 26 14 12 28 23 23 23 26 14 12 26 26 12 27 12 37 23 12 12 28 0]xS
4453 F0S2A Ji
4454 75 1007 M (It is easy to see that through the introduction of an)[12 12 24 10 20 24 23 23 20 21 24 12 23 24 20 23 23 24 12 23 23 12 24 12 23 14 23 23 23 23 24 12
4455 23 23 24 10 23 12 14 23 23 23 21 12 10 23 23 24 23 13 24 23 0]xS
4456 75 1055 M (additional configuration, a constant execution time ISR)[23 23 23 10 12 10 23 23 23 10 17 21 23 23 13 10 23 23 14 23 12 10 23 23 12 17 23 18 21 23 23 20
4457 12 23 23 12 18 23 22 23 21 23 12 10 23 23 18 12 10 36 23 18 12 28 0]xS
4458 75 1103 M (can include a startup delay before it interacts with the)[21 23 23 18 10 23 21 10 23 23 23 18 23 19 20 12 23 14 12 23 23 19 23 23 10 23 21 19 23 23 13 23
4459 14 23 19 10 12 19 10 23 12 23 14 23 21 12 20 19 29 10 12 23 19 12 23 0]xS
4460 75 1151 M (IS. In practice, an ISR is almost never free to)[12 28 12 32 32 12 23 32 23 14 23 21 12 10 21 23 12 32 23 23 32 12 28 30 32 10 20 32 23 10 36 23
4461 20 12 32 23 23 23 23 14 32 13 14 23 23 32 12 0]xS
4462 75 1199 M (immediately interact with an IS when it begins)[10 36 36 23 23 10 23 12 23 10 21 40 10 23 12 23 14 23 21 12 40 29 10 12 23 40 23 23 40 12 28 41
4463 29 23 23 23 41 10 12 41 23 23 23 10 23 0]xS
4464 75 1247 M (execution. We hinted previously that the AIL never)[23 22 23 21 23 12 10 23 23 12 24 24 42 23 24 23 10 23 12 23 23 24 23 14 23 23 10 23 23 20 10 21
4465 24 12 23 23 12 24 12 23 23 24 28 12 23 24 23 23 23 23 0]xS
4466 75 1295 M (appears directly in an EHM. It should be clear from the)[23 23 23 23 23 14 20 14 23 10 14 23 21 12 10 21 14 10 23 14 23 23 14 28 30 35 12 14 14 12 12 14
4467 20 23 23 23 10 23 14 23 23 14 21 10 23 23 14 15 13 14 23 36 15 12 23 0]xS
4468 75 1343 M (notion of this type of startup delay that both the ISR)[23 23 12 10 23 23 21 23 13 21 12 23 10 20 21 12 21 23 23 21 23 13 21 20 12 23 14 12 23 23 21 23
4469 23 10 23 21 22 12 23 23 12 22 23 23 12 23 22 12 23 23 22 12 28 0]xS
4470 75 1391 M (EHM and the IS EHM need to be considered)[28 30 35 40 23 23 23 40 12 23 23 40 12 28 40 28 30 35 40 23 23 23 23 40 12 23 40 23 23 41 21 23
4471 23 20 10 23 23 14 23 0]xS
4472 75 1439 M (simultaneously to calculate the AIL from the EHM)[20 10 36 23 10 12 23 23 23 23 23 20 10 21 30 12 23 30 21 23 10 21 23 10 23 12 23 30 12 23 23 31
4473 28 12 23 31 13 14 23 36 31 12 23 23 31 28 30 0]xS
4474 75 1487 M (models.)[36 23 23 23 10 20 0]xS
4475 75 1683 M (ALTERNATING EXECUTION TIME ISRS)[28 23 26 28 30 30 28 26 12 30 33 12 28 27 28 30 30 26 12 33 30 12 26 12 35 28 12 12 28 30 0]xS
4476 75 1781 M (In practice, it often occurs that an ISR will vary its)[12 23 25 23 14 23 21 12 10 21 23 12 25 10 12 25 23 13 12 23 23 25 23 21 21 23 14 20 25 12 23 23
4477 12 25 23 23 25 12 28 30 25 29 10 10 10 25 23 23 14 21 25 10 12 0]xS
4478 75 1829 M (execution time in a repeating pattern. Such patterns are)[23 22 23 21 23 12 10 23 23 12 12 10 36 23 12 10 23 12 23 12 14 23 23 23 23 12 10 23 23 12 23 23
4479 12 12 23 14 23 12 13 13 28 23 21 23 13 23 23 12 12 23 14 23 20 13 23 14 0]xS
4480 75 1877 M (especially common in \223timetick\224 ISRs which have been)[23 20 23 23 21 10 23 10 10 21 16 21 23 36 36 23 23 17 10 23 17 14 12 10 36 23 12 10 21 21 14 17
4481 12 28 30 20 17 29 23 10 21 23 17 23 23 23 23 17 23 23 23 0]xS
4482 75 1925 M (\223divided down\224; that is, implemented so as to perform)[14 23 10 23 10 23 23 23 19 23 23 29 23 14 12 19 12 23 23 12 19 10 20 12 19 10 36 23 10 23 36 23
4483 23 12 23 23 20 20 23 20 23 20 20 12 23 20 23 23 14 13 23 14 0]xS
4484 75 1973 M (their primary function during only a rational fraction of)[12 23 23 10 14 18 23 14 10 36 23 14 21 18 13 23 23 21 12 10 23 23 19 23 23 14 10 23 23 19 23 23
4485 10 21 19 23 19 14 23 12 10 23 23 23 10 19 13 14 23 21 12 10 23 23 19 23 0]xS
4486 75 2021 M (their invocations.)[12 23 23 10 14 12 10 23 23 23 21 23 12 10 23 23 20 0]xS
4487 75 2119 M (Figure )[26 10 23 23 14 23 0]xS
4488 214 2119 M (6)S
4489 237 2119 M ( depicts an ISR with an alternating execution)[20 23 23 23 10 21 12 20 20 23 23 20 12 28 30 21 29 10 12 23 21 23 23 21 23 10 12 23 14 23 23 12
4490 10 23 23 21 23 22 23 21 23 12 10 23 0]xS
4491 75 2167 M (time. The execution time of this ISR alternates between)[12 10 36 23 12 12 12 26 23 23 12 23 22 23 21 23 12 10 23 23 13 12 10 36 23 13 23 13 13 12 23 10
4492 20 13 12 28 30 13 23 10 12 23 14 23 23 12 23 20 13 23 23 12 29 23 23 0]xS
4493 75 2215 M (P)S
4494 F0S1B Ji
4495 103 2221 M (1)S
4496 F0S2A Ji
4497 118 2215 M ( and P)[23 23 23 23 23 0]xS
4498 F0S1B Ji
4499 261 2221 M (2)S
4500 F0S2A Ji
4501 276 2215 M ( in an A-B-A-B-\205 pattern. This ISR is a)[24 10 23 24 23 23 24 28 14 28 14 28 14 28 14 42 24 23 23 12 12 23 14 23 12 24 24 26 23 10 20 24
4502 12 28 30 24 10 20 24 0]xS
4503 75 2263 M (typical companion to Figure )[12 21 23 10 21 23 10 16 21 23 36 23 23 23 10 23 23 17 12 23 17 26 10 23 23 14 23 0]xS
4504 621 2263 M (4)S
4505 644 2263 M (. Note that an additional)[12 17 17 30 23 12 23 17 12 23 23 12 17 23 23 17 23 23 23 10 12 10 23 23 23 0]xS
4506 75 2311 M (continuous variable )[21 23 23 12 10 23 23 23 23 20 18 23 23 14 10 23 23 10 23 0]xS
4507 F2S2A Ji
4508 461 2311 M (x)S
4509 F0S2A Ji
4510 482 2311 M ( is used to allow the ISR to hold)[19 10 20 19 23 20 23 23 19 12 23 19 23 10 10 23 29 19 12 23 23 19 12 28 30 19 12 23 19 23 23 10
4511 0]xS
4512 75 2360 M (state between modeled invocations. It is easy to see)[20 12 23 12 23 19 23 23 12 29 23 23 23 19 36 23 23 23 10 23 23 20 10 23 23 23 21 23 12 10 23 23
4513 20 12 20 20 12 12 20 10 20 20 23 23 20 21 20 12 23 20 20 23 0]xS
4514 75 2408 M (that this mechanism can be extended to arbitrary)[12 23 23 12 32 12 23 10 20 32 36 23 21 23 23 23 10 20 36 32 21 23 23 32 23 23 32 23 22 12 23 23
4515 23 23 23 33 12 23 33 23 14 23 10 12 14 23 14 0]xS
4516 75 2456 M (repeating patterns.)[14 23 23 23 23 12 10 23 23 12 23 23 12 12 23 14 23 20 0]xS
4517 N 1889 214 M 1889 313 I : 0.43 0.43 +S K
4518 ; 0 Lw N 1889 329 M 1879 309 I 1899 309 I C
4519 : O ; : 0.43 0.43 +S K
4520 ; 9 Lw : 1279 186 187 288 rc N 1421 421 M 1421 455 I 1323 455 I 1323 230 I : 0.43 0.43 +S K
4521 ; ; 0 Lw N 1323 214 M 1333 234 I 1313 234 I C
4522 : O ; : 0.43 0.43 +S K
4523 ; 9 Lw N 1410 214 M 1410 271 I 1421 271 I 1421 313 I : 0.43 0.43 +S K
4524 ; 0 Lw N 1421 329 M 1411 309 I 1431 309 I C
4525 : O ; : 0.43 0.43 +S K
4526 ; 9 Lw N 1352 329 M 1490 329 I 1490 421 I 1352 421 I 1352 329 I C
4527 : 1 1 1 1 scol O ; : 0.43 0.43 +S K
4528 ; /F0S12 F0 [18.969 0 0 -18.969 0 0 ] mFS
4529 F0S12 Ji
4530 1406 382 M (t'=1)[5 4 11 0]xS
4531 0.004 0 0 1 scol /F0S15 F0 [21.16 0 0 -21.16 0 0 ] mFS
4532 F0S15 Ji
4533 1437 237 M ([x)[6 0]xS
4534 /F4S15 F4 [21.16 0 0 -21.16 0 0 ] mFS
4535 F4S15 Ji
4536 1454 238 M <A3>S
4537 F0S15 Ji
4538 1465 237 M (0 )[12 0]xS
4539 F4S15 Ji
4540 1483 238 M <D9>S
4541 F0S15 Ji
4542 1496 237 M ( G)[6 0]xS
4543 /F0S0D F0 [13.34 0 0 -13.34 0 0 ] mFS
4544 F0S0D Ji
4545 1519 241 M (N)S
4546 F0S15 Ji
4547 1528 237 M ( )S
4548 F4S15 Ji
4549 1534 238 M <D9>S
4550 F0S15 Ji
4551 1547 237 M ( )S
4552 F4S15 Ji
4553 1553 238 M <D8>S
4554 F0S15 Ji
4555 1568 237 M (G)S
4556 F0S0D Ji
4557 1585 241 M (1)S
4558 F0S15 Ji
4559 1592 237 M ( )S
4560 F4S15 Ji
4561 1598 238 M <D9>S
4562 F0S15 Ji
4563 1611 237 M ( )S
4564 F4S15 Ji
4565 1617 238 M <D8>S
4566 F0S15 Ji
4567 1632 237 M (G)S
4568 F0S0D Ji
4569 1649 241 M (2)S
4570 F0S15 Ji
4571 1656 237 M ( )S
4572 F4S15 Ji
4573 1662 238 M <D9>S
4574 F0S15 Ji
4575 1675 237 M ( \205 )[6 21 0]xS
4576 F4S15 Ji
4577 1708 238 M <D9>S
4578 F0S15 Ji
4579 1721 237 M ( )S
4580 F4S15 Ji
4581 1727 238 M <D8>S
4582 F0S15 Ji
4583 1743 237 M (G)S
4584 F0S0D Ji
4585 1759 241 M (N-1)[10 4 0]xS
4586 F0S15 Ji
4587 1781 237 M (])S
4588 1437 261 M (t=0)[6 13 0]xS
4589 1437 286 M (x=1)[11 12 0]xS
4590 F4S15 Ji
4591 1437 312 M (s)S
4592 /F0S15 F0 [21.258 0 0 -21.258 0 0 ] mFS
4593 F0S15 Ji
4594 1432 451 M ([t )[6 6 0]xS
4595 /F4S15 F4 [21.258 0 0 -21.258 0 0 ] mFS
4596 F4S15 Ji
4597 1450 452 M <B3>S
4598 F0S15 Ji
4599 1461 451 M ( P)[6 0]xS
4600 /F0S0D F0 [13.398 0 0 -13.398 0 0 ] mFS
4601 F0S0D Ji
4602 1482 455 M (1)S
4603 F0S15 Ji
4604 1489 451 M (])S
4605 0 0 0 1 scol : 1275 117 746 142 rc N 1280 122 M 1976 122 I 1976 214 I 1280 214 I 1280 122 I C
4606 : 1 1 1 1 scol O ; : 0.43 0.43 +S K
4607 ; ; F0S12 Ji
4608 1607 174 M (RTPI)[14 11 13 0]xS
4609 : 1755 186 183 288 rc N 1893 421 M 1893 455 I 1799 455 I 1799 230 I : 0.43 0.43 +S K
4610 ; ; 0 Lw N 1799 213 M 1809 233 I 1789 233 I C
4611 : O ; : 0.43 0.43 +S K
4612 ; 9 Lw N 1822 329 M 1963 329 I 1963 421 I 1822 421 I 1822 329 I C
4613 : 1 1 1 1 scol O ; : 0.43 0.43 +S K
4614 ; 1878 382 M (t'=1)[5 4 11 0]xS
4615 0.004 0 0 1 scol /F0S15 F0 [21.176 0 0 -21.176 0 0 ] mFS
4616 F0S15 Ji
4617 1908 235 M ([x>0 )[6 10 13 12 0]xS
4618 /F4S15 F4 [21.176 0 0 -21.176 0 0 ] mFS
4619 F4S15 Ji
4620 1955 236 M <D9>S
4621 F0S15 Ji
4622 1967 235 M ( G)[6 0]xS
4623 /F0S0D F0 [13.348 0 0 -13.348 0 0 ] mFS
4624 F0S0D Ji
4625 1990 239 M (N)S
4626 F0S15 Ji
4627 2000 235 M ( )S
4628 F4S15 Ji
4629 2006 236 M <D9>S
4630 F0S15 Ji
4631 2019 235 M ( )S
4632 F4S15 Ji
4633 2025 236 M <D8>S
4634 F0S15 Ji
4635 2040 235 M (G)S
4636 F0S0D Ji
4637 2056 239 M (1)S
4638 F0S15 Ji
4639 2064 235 M ( )S
4640 F4S15 Ji
4641 2070 236 M <D9>S
4642 F0S15 Ji
4643 2083 235 M ( )S
4644 F4S15 Ji
4645 2089 236 M <D8>S
4646 F0S15 Ji
4647 2104 235 M (G)S
4648 F0S0D Ji
4649 2120 239 M (2)S
4650 F0S15 Ji
4651 2128 235 M ( )S
4652 F4S15 Ji
4653 2134 236 M <D9>S
4654 F0S15 Ji
4655 2147 235 M ( \205 )[6 21 0]xS
4656 F4S15 Ji
4657 2180 236 M <D9>S
4658 F0S15 Ji
4659 2193 235 M ( )S
4660 F4S15 Ji
4661 2199 236 M <D8>S
4662 F0S15 Ji
4663 2214 235 M (G)S
4664 F0S0D Ji
4665 2230 239 M (N-1)[10 4 0]xS
4666 F0S15 Ji
4667 2252 235 M (])S
4668 1908 259 M (t=0)[6 12 0]xS
4669 1908 284 M (x=0)[10 13 0]xS
4670 F4S15 Ji
4671 1908 310 M (s)S
4672 0 0 0 1 scol /F0S15 F0 [21.352 0 0 -21.352 0 0 ] mFS
4673 F0S15 Ji
4674 1910 451 M ([t )[6 6 0]xS
4675 /F4S15 F4 [21.352 0 0 -21.352 0 0 ] mFS
4676 F4S15 Ji
4677 1927 451 M <B3>S
4678 F0S15 Ji
4679 1939 451 M ( P)[6 0]xS
4680 /F0S0D F0 [13.461 0 0 -13.461 0 0 ] mFS
4681 F0S0D Ji
4682 1959 455 M (2)S
4683 F0S15 Ji
4684 1967 451 M (])S
4685 F1S2A Ji
4686 1385 564 M (Figure )[26 12 26 26 16 23 0]xS
4687 1526 564 M (6)S
4688 1549 564 M (: Alternating Execution Time ISR)[14 12 12 29 12 14 23 16 26 23 14 12 26 26 12 28 23 23 23 26 14 12 26 26 12 27 12 37 23 12 12 28
4689 0]xS
4690 F0S2A Ji
4691 1275 761 M (QUEUED RECEIVER PERIPHERAL INTERRUPT)[33 30 28 30 28 30 50 30 28 30 28 12 28 28 30 51 28 28 30 12 28 30 28 30 28 23 51 12 30 26 28 30
4692 30 30 28 0]xS
4693 1275 809 M (SOURCE AND ISR)[28 33 30 30 30 28 12 28 30 30 12 12 28 0]xS
4694 1275 907 M (In practical systems, primarily due to queued ISs, an)[12 23 21 23 14 23 21 12 10 21 23 10 21 20 21 20 12 23 36 20 12 21 23 14 10 36 23 14 10 10 21 22
4695 23 23 23 22 12 23 22 23 23 23 23 23 23 22 12 28 20 12 22 23 0]xS
4696 1275 955 M (ISR may have an execution time that increases with)[12 28 30 22 36 23 21 22 23 23 23 23 22 23 23 22 23 22 23 21 23 12 10 23 23 23 12 10 36 23 23 12
4697 23 23 12 23 10 23 21 14 23 23 20 23 20 23 29 10 12 0]xS
4698 1275 1003 M (increasing interrupt latency. Phrased more colloquially,)[10 23 21 14 23 23 20 10 23 23 15 10 23 12 23 14 14 23 23 12 15 10 23 12 23 23 21 21 12 15 15 28
4699 23 14 23 20 23 23 16 36 23 14 23 16 21 23 10 10 23 23 23 10 23 10 10 21 0]xS
4700 1275 1051 M (the longer you wait, the worse it can get. We feel that)[12 23 23 16 10 23 23 23 23 14 16 21 23 23 16 29 23 10 12 12 16 12 23 23 16 29 23 14 20 23 16 10
4701 12 16 21 23 23 16 23 23 12 12 16 16 42 23 16 13 23 23 10 17 12 23 23 0]xS
4702 1275 1099 M (any modeling framework must capture this aspect of a)[23 23 21 17 36 23 23 23 10 10 23 23 17 13 14 23 36 23 29 23 14 21 17 36 23 20 12 17 21 23 23 12
4703 23 14 23 18 12 23 10 20 18 23 20 23 23 21 12 18 23 13 18 0]xS
4704 1275 1147 M (practical system. An example of a typical queued)[23 14 23 21 12 10 21 23 10 27 20 21 20 12 23 36 12 27 27 28 23 28 23 22 23 36 23 10 23 28 23 13
4705 28 23 28 12 21 23 10 21 23 10 28 23 23 23 23 23 0]xS
4706 1275 1195 M (communication peripheral is the 16550 UART, which)[21 23 36 36 23 23 10 21 23 12 10 23 23 24 23 23 14 10 23 23 23 14 23 10 24 10 20 24 12 23 23 24
4707 23 23 23 23 23 24 30 28 30 26 12 25 29 23 10 21 0]xS
4708 1275 1243 M (contains a queue of 16 bytes.)[21 23 23 12 23 10 23 20 12 23 12 23 23 23 23 23 12 23 13 12 23 23 12 23 21 12 23 20 0]xS
4709 1275 1341 M (We are aware of two modeling approaches that can)[42 23 23 23 14 23 23 23 29 23 14 23 23 23 13 24 12 29 23 24 36 23 23 23 10 10 23 23 24 23 23 23
4710 14 23 23 21 23 23 20 24 12 23 23 12 24 21 23 0]xS
4711 1275 1389 M (treat such devices within the framework of hybrid)[12 14 23 23 12 32 20 23 21 23 32 23 23 23 10 21 23 20 32 29 10 12 23 10 23 32 12 23 23 32 13 14
4712 23 36 23 29 23 14 21 32 23 13 33 23 21 23 14 10 0]xS
4713 1275 1437 M (system EHM models.)[20 21 20 12 23 36 12 28 30 35 12 36 23 23 23 10 20 0]xS
4714 1275 1535 M (1. )[23 12 0]xS
4715 1322 1535 M ( )S
4716 1350 1535 M (The queued IS can be modeled as having a)[26 23 23 32 23 23 23 23 23 23 32 12 28 32 21 23 23 32 23 23 33 36 23 23 23 10 23 23 33 23 20 33
4717 23 23 23 10 23 23 33 0]xS
4718 1350 1583 M (continuous queue state \(although a practical IS will)[21 23 23 12 10 23 23 23 23 20 16 23 23 23 23 23 16 20 12 23 12 23 16 14 23 10 12 23 23 23 23 23
4719 17 23 17 23 14 23 21 12 10 21 23 10 17 12 28 17 29 10 10 0]xS
4720 1350 1631 M (have a discrete queue state\). This is the approach)[23 23 23 23 15 23 16 23 10 20 21 14 23 12 23 16 23 23 23 23 23 16 20 12 23 12 23 14 12 16 16 26
4721 23 10 20 16 10 20 16 12 23 23 16 23 23 23 14 23 23 21 0]xS
4722 1350 1679 M (presented here.)[23 14 23 20 23 23 12 23 23 12 23 23 14 23 0]xS
4723 1275 1777 M (2. )[23 12 0]xS
4724 1322 1777 M ( )S
4725 1350 1777 M (The queued IS can be modeled as having a discrete)[26 23 23 12 23 23 23 23 23 23 12 12 28 12 21 23 23 13 23 23 13 36 23 23 23 10 23 23 13 23 20 13
4726 23 23 23 10 23 23 13 23 13 23 10 20 21 14 23 12 0]xS
4727 1350 1825 M (queue state, i.e. the queue state can be captured in)[23 23 23 23 23 14 20 12 23 12 23 12 14 10 12 23 12 14 12 23 23 14 23 23 23 23 23 14 20 12 23 12
4728 23 15 21 23 23 15 23 23 15 21 23 23 12 23 14 23 23 15 10 0]xS
4729 1350 1873 M (the EHM configuration. For an IS containing a small)[12 23 23 12 28 30 35 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 12 26 23 14 12 23 23 12 12
4730 28 12 21 23 23 12 23 10 23 10 23 23 12 23 13 20 36 23 10 0]xS
4731 1350 1921 M (queue, this approach is practical. We will not supply)[23 23 23 23 23 12 12 12 23 10 20 12 23 23 23 14 23 23 21 23 12 10 20 12 23 14 23 21 12 10 21 23
4732 10 12 12 12 42 23 12 29 10 10 10 12 23 23 12 13 20 23 23 23 10 0]xS
4733 1350 1969 M (the details here, as this approach is intuitive.)[12 23 23 12 23 23 12 23 10 10 20 12 23 23 14 23 12 12 23 20 12 12 23 10 20 12 23 23 23 14 23 23
4734 21 23 12 10 20 12 10 23 12 23 10 12 10 23 23 0]xS
4735 LH
4736 (%%[Page: 9]%%) =
4737 %%PageTrailer
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4746
4747 0 0 0 1 scol 1185 3158 M (1)S
4748 1208 3158 M (0)S
4749 0 Lj 2 Lc 9 Lw N 806 719 M 806 424 I 402 424 I : 0.879 0.879 +S K
4750 ; 0 Lw N 369 424 M 410 403 I 410 444 I C
4751 : O ; : 0.879 0.879 +S K
4752 ; 9 Lw N 369 1203 M 806 1203 I 806 940 I : 0.879 0.879 +S K
4753 ; 0 Lw N 806 907 M 826 948 I 785 948 I C
4754 : O ; : 0.879 0.879 +S K
4755 ; 9 Lw : 154 117 149 255 rc N 228 128 M 228 297 I : 0.879 0.879 +S K
4756 ; ; 0 Lw N 228 330 M 208 289 I 249 289 I C
4757 : O ; : 0.879 0.879 +S K
4758 ; 9 Lw : 76 256 368 337 rc N 87 330 M 369 330 I 369 518 I 87 518 I 87 330 I C
4759 : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4760 ; ; /F0S26 F0 [38.777 0 0 -38.777 0 0 ] mFS
4761 F0S26 Ji
4762 181 436 M (q' = 0)[22 8 10 23 11 0]xS
4763 251 169 M (q=0 )[22 22 23 0]xS
4764 251 218 M (RSSV=0)[28 25 26 25 23 0]xS
4765 95 378 M (A)S
4766 N 228 523 M 228 688 I : 0.879 0.879 +S K
4767 ; 0 Lw N 228 722 M 207 680 I 248 680 I C
4768 : O ; : 0.879 0.879 +S K
4769 ; 9 Lw : 76 648 368 336 rc N 87 722 M 369 722 I 369 909 I 87 909 I 87 722 I C
4770 : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4771 ; ; 171 827 M (q' = R)[22 8 11 23 10 0]xS
4772 /F0S16 F0 [22.914 0 0 -22.914 0 0 ] mFS
4773 F0S16 Ji
4774 273 824 M (1)S
4775 F0S26 Ji
4776 101 773 M (B)S
4777 /F4S2A F4 [42.754 0 0 -42.754 0 0 ] mFS
4778 F4S2A Ji
4779 250 614 M (s)S
4780 /F0S1A F0 [26.953 0 0 -26.953 0 0 ] mFS
4781 F0S1A Ji
4782 275 621 M (1)S
4783 : N 250 618 25 2 rp C
4784 L ; N 228 909 M 228 1076 I : 0.879 0.879 +S K
4785 ; 0 Lw N 228 1109 M 207 1068 I 248 1068 I C
4786 : O ; : 0.879 0.879 +S K
4787 ; 9 Lw : 76 1035 368 337 rc N 87 1109 M 369 1109 I 369 1297 I 87 1297 I 87 1109 I C
4788 : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4789 ; ; F0S26 Ji
4790 171 1215 M (q' = R)[22 8 11 23 10 0]xS
4791 F0S16 Ji
4792 273 1212 M (1)S
4793 F0S26 Ji
4794 95 1160 M (C)S
4795 N 228 1302 M 228 1467 I : 0.879 0.879 +S K
4796 ; 0 Lw N 228 1501 M 207 1459 I 248 1459 I C
4797 : O ; : 0.879 0.879 +S K
4798 ; 9 Lw : 76 1427 368 272 rc N 87 1501 M 369 1501 I 369 1688 I 87 1688 I 87 1501 I C
4799 : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4800 ; ; /F0S2E F0 [46.707 0 0 -46.707 0 0 ] mFS
4801 F0S2E Ji
4802 192 1610 M (ILC)[14 26 0]xS
4803 F0S26 Ji
4804 101 1551 M (E)S
4805 N 665 719 M 947 719 I 947 907 I 665 907 I 665 719 I C
4806 : 1 1 1 1 scol O ; : 0.879 0.879 +S K
4807 ; 722 825 M (q' = R)[22 8 11 22 11 0]xS
4808 F0S16 Ji
4809 824 821 M (1)S
4810 F0S26 Ji
4811 837 825 M (-R)[14 0]xS
4812 F0S16 Ji
4813 879 821 M (2)S
4814 F0S26 Ji
4815 676 765 M (D)S
4816 /F0S2A F0 [42.844 0 0 -42.844 0 0 ] mFS
4817 F0S2A Ji
4818 245 985 M ([q )[12 25 0]xS
4819 /F4S2A F4 [42.844 0 0 -42.844 0 0 ] mFS
4820 F4S2A Ji
4821 294 985 M <B3>S
4822 F0S2A Ji
4823 317 985 M ( L)[13 0]xS
4824 /F0S1B F0 [27.008 0 0 -27.008 0 0 ] mFS
4825 F0S1B Ji
4826 353 992 M (1)S
4827 F0S2A Ji
4828 368 985 M (])S
4829 245 1034 M (RSSV=1)[31 28 29 28 25 0]xS
4830 0.004 0 0 1 scol /F4S2B F4 [43.352 0 0 -43.352 0 0 ] mFS
4831 F4S2B Ji
4832 582 1170 M (s)S
4833 /F0S1B F0 [27.332 0 0 -27.332 0 0 ] mFS
4834 F0S1B Ji
4835 607 1177 M (2)S
4836 : N 582 1175 25 2 rp C
4837 0 0 0 1 scol L ; 0 0 0 1 scol /F0S2B F0 [43.148 0 0 -43.148 0 0 ] mFS
4838 F0S2B Ji
4839 820 614 M ([q )[12 24 0]xS
4840 /F4S2B F4 [43.148 0 0 -43.148 0 0 ] mFS
4841 F4S2B Ji
4842 869 614 M <A3>S
4843 F0S2B Ji
4844 893 614 M ( 0])[12 24 0]xS
4845 : 820 625 167 48 rc 820 664 M (RSSV=0)[31 28 29 29 25 0]xS
4846 ; 0.004 0 0 1 scol /F0S2B F0 [43.34 0 0 -43.34 0 0 ] mFS
4847 F0S2B Ji
4848 254 1397 M ([q )[12 25 0]xS
4849 /F4S2B F4 [43.34 0 0 -43.34 0 0 ] mFS
4850 F4S2B Ji
4851 303 1397 M <B3>S
4852 F0S2B Ji
4853 327 1397 M ( L)[12 0]xS
4854 /F0S1B F0 [27.324 0 0 -27.324 0 0 ] mFS
4855 F0S1B Ji
4856 363 1405 M (2)S
4857 F0S2B Ji
4858 379 1397 M (])S
4859 0 0 0 1 scol F1S2A Ji
4860 153 1789 M (Figure )[26 12 26 26 16 23 0]xS
4861 294 1789 M (7)S
4862 317 1789 M (: EHM Model Of Queued Receiver IS)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 33 26 23 26 23 26 12 30 23 23 23 12 23 23 16 12
4863 12 0]xS
4864 F0S2A Ji
4865 75 1988 M (We prefer modeling the queue state as continuous, as it)[42 23 13 23 14 23 13 23 14 13 36 23 23 23 10 10 23 23 13 12 23 23 13 23 23 23 23 23 13 20 12 23
4866 12 23 13 23 20 14 21 23 23 12 10 23 23 23 23 20 12 14 23 20 14 10 0]xS
4867 75 2036 M (reduces the number of configurations in the resulting)[14 23 23 23 21 23 20 22 12 23 23 22 23 23 36 23 23 14 22 23 13 22 21 23 23 13 10 23 23 14 23 12
4868 10 23 23 20 23 10 23 23 12 23 23 23 14 23 20 23 10 12 10 23 0]xS
4869 75 2084 M (CHM. In practical systems, an ISR tends to loop until)[30 30 35 12 17 17 12 23 18 23 14 23 21 12 10 21 23 10 18 20 21 20 12 23 36 20 12 18 23 23 18 12
4870 28 30 18 12 23 23 23 20 18 12 23 18 10 23 23 23 18 23 23 12 10 0]xS
4871 75 2132 M (the IS queue is depleted, and the execution time cost)[12 23 23 19 12 28 19 23 23 23 23 23 19 10 20 19 23 23 23 10 23 12 23 23 12 19 23 23 23 19 12 23
4872 23 19 23 22 23 21 23 12 10 23 23 19 12 10 36 23 19 21 23 20 0]xS
4873 75 2180 M (per item removed is approximately constant. We feel)[23 23 14 18 10 12 23 36 18 14 23 36 23 23 23 23 18 10 20 18 23 23 23 14 23 22 10 36 23 12 23 10
4874 21 19 21 23 23 20 12 23 23 12 12 19 19 42 23 19 13 23 23 0]xS
4875 75 2228 M (fairly confident in modeling a queue with a discrete state)[13 23 10 14 10 21 12 21 23 23 13 10 23 23 23 12 12 10 23 12 36 23 23 23 10 10 23 23 12 23 13 23
4876 23 23 23 23 13 29 10 12 23 13 23 13 23 10 20 21 14 23 12 23 13 20 12 23 12 0]xS
4877 75 2276 M (using a continuous variable, in that the continuous)[23 20 10 23 23 29 23 29 21 23 23 12 10 23 23 23 23 20 29 23 23 14 10 23 23 10 23 12 29 10 23 29
4878 12 23 23 12 29 12 23 23 30 21 23 23 12 10 23 23 23 23 0]xS
4879 75 2324 M (model of the ISR can be designed to require at least as)[36 23 23 23 10 14 23 13 14 12 23 23 14 12 28 30 14 21 23 23 14 23 23 14 23 23 20 10 23 23 23 23
4880 15 12 23 15 14 23 23 23 10 14 23 15 23 12 15 10 23 23 20 12 15 23 0]xS
4881 75 2372 M (much execution time as the discrete model, in the same)[36 23 21 23 13 23 22 23 21 23 12 10 23 23 13 12 10 36 23 13 23 20 13 12 23 23 13 23 10 20 21 14
4882 23 12 23 13 36 23 23 23 10 12 13 10 23 14 12 23 23 14 20 23 36 0]xS
4883 75 2423 M (sense as )[20 23 23 20 23 12 23 20 0]xS
4884 F4S2A Ji
4885 251 2423 M (")S
4886 F0S2A Ji
4887 280 2423 M (x, )[22 12 0]xS
4888 27450 VM?
4889 /TT1A2b00
4890 [42 0 0 0 0 0 ]
4891 256 array 0 1 255 {1 index exch /.notdef put} for
4892 [0 0 0 0 ]
4893 [1 42 div 0 0 -1 42 div 0 0 ]
4894 /__TT1A2b00
4895 GreNewFont
4896 T32RsrcBegin
4897
4898 1
4899 /Geb [16 0 0 -39 14 3 ]
4900 /Geb [14 42 true [1 0 0 1 0 39 ] 0 0]
4901 [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
4902 ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.Ms8;op~>
4903 ]
4904 /TT1A2b00 AddT3T32Char
4905 T32RsrcEnd
4906 F /F8 0 /0 F /TT1A2b00 mF
4907 /F8S29 F8 [41.926 0 0 -41.926 0 0 ] mFS
4908 F8S29 Ji
4909 326 2423 M <01>S
4910 F0S2A Ji
4911 342 2423 M (x)S
4912 450 VM?
4913 T32RsrcBegin
4914
4915 2
4916 /Gfb [16 0 1 -39 15 3 ]
4917 /Gfb [14 42 true [1 0 0 1 -1 39 ] 0 0]
4918 [<~!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9
4919 !"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9!"8i9s8;op~>
4920 ]
4921 /TT1A2b00 AddT3T32Char
4922 T32RsrcEnd
4923 F8S29 Ji
4924 364 2423 M <02>S
4925 F0S2A Ji
4926 380 2423 M ( )S
4927 F4S2A Ji
4928 392 2423 M <A3>S
4929 F0S2A Ji
4930 415 2423 M ( x. However, we do not claim that this)[12 22 12 12 12 30 23 29 23 23 23 14 12 12 29 23 12 23 23 12 23 23 12 12 21 10 23 10 36 12 12 23
4931 23 12 12 12 23 10 0]xS
4932 75 2471 M (replacement of a discrete queue state by a continuous)[14 23 23 10 23 21 23 36 23 23 12 17 23 13 17 23 17 23 10 20 21 14 23 12 23 18 23 23 23 23 23 18
4933 20 12 23 12 23 18 23 21 18 23 18 21 23 23 12 10 23 23 23 23 0]xS
4934 75 2519 M (queue state is mathematically valid or without potential)[23 23 23 23 23 16 20 12 23 12 23 16 10 20 16 36 23 12 23 23 36 23 12 10 21 23 10 10 21 16 23 23
4935 10 10 23 17 23 14 17 29 10 12 23 23 23 12 17 23 23 12 23 23 12 10 23 0]xS
4936 75 2567 M (peril)[23 23 14 10 0]xS
4937 F0S1B Ji
4938 155 2546 M (10)[15 0]xS
4939 F0S2A Ji
4940 185 2567 M (.)S
4941 75 2676 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4942 435 2676 M ( )[12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 0]xS
4943 : N 75 2665 600 2 rp C
4944 L ; F0S1B Ji
4945 75 2703 M (10)[15 0]xS
4946 F0S2A Ji
4947 105 2724 M ( The implicit \(and invalid\) assumption behind such a)[12 26 23 23 12 10 36 23 10 10 21 10 12 12 14 23 23 23 12 10 23 23 23 10 10 23 14 12 23 20 20 23
4948 36 23 12 10 23 23 12 23 23 23 10 23 23 12 20 23 21 23 12 0]xS
4949 75 2772 M (substitution is that a longer ISR execution time is)[20 23 23 20 12 10 12 23 12 10 23 23 12 10 20 12 12 23 23 12 12 23 12 10 23 23 23 23 14 12 12 28
4950 30 12 23 22 23 21 23 12 10 23 23 12 12 10 36 23 12 10 0]xS
4951 75 2820 M (\223worse\224, so that a system which shows AIL compatibility)[14 29 23 14 20 23 14 12 12 20 23 12 12 23 23 12 12 23 12 20 21 20 12 23 36 12 29 23 10 21 23 12
4952 20 23 23 29 20 12 28 12 23 12 21 23 36 23 23 12 10 23 10 10 10 12 0]xS
4953 75 2868 M (with the continuous IS model will also show AIL)[29 10 12 23 12 12 23 23 12 21 23 23 12 10 23 23 23 23 20 12 12 28 12 36 23 23 23 10 12 29 10 10
4954 10 12 23 10 20 23 12 20 23 23 29 12 28 12 0]xS
4955 75 2916 M (compatibility with the discrete IS model. Although we)[21 23 36 23 23 12 10 23 10 10 10 12 21 12 29 10 12 23 12 12 23 23 12 23 10 20 21 14 23 12 23 12
4956 12 28 12 36 23 23 23 10 12 12 12 28 10 12 23 23 23 23 23 12 29 0]xS
4957 75 2964 M (believe this logical implication will hold for almost any)[23 23 10 10 23 23 23 12 12 23 10 20 12 10 23 23 10 21 23 10 12 10 36 23 10 10 21 23 12 10 23 23
4958 12 29 10 10 10 12 23 23 10 23 12 13 23 14 12 23 10 36 23 20 12 12 23 23 0]xS
4959 75 3012 M (practical system, it will not hold in the general case, and)[23 14 23 21 12 10 21 23 10 12 20 21 20 12 23 36 12 12 10 12 12 29 10 10 10 12 23 23 12 12 23 23
4960 10 23 12 10 23 12 12 23 23 12 23 23 23 23 14 23 10 12 21 23 20 23 12 12 23 23 0]xS
4961 75 3060 M (this can be shown by a compact counterexample.)[12 23 10 20 12 21 23 23 12 23 23 12 20 23 23 29 23 12 23 21 12 23 12 21 23 36 23 23 21 12 12 21
4962 23 23 23 12 23 14 23 22 23 36 23 10 23 0]xS
4963 : 1356 240 645 674 rc N 1922 805 M 1922 879 I 1434 879 I 1434 318 I : 0.938 0.934 +S K
4964 ; ; 0 Lw N 1434 282 M 1456 327 I 1413 327 I C
4965 : O ; : 0.938 0.934 +S K
4966 ; 9 Lw : 1835 215 157 434 rc N 1913 279 M 1913 570 I : 0.938 0.934 +S K
4967 ; ; 0 Lw N 1913 606 M 1891 562 I 1934 562 I C
4968 : O ; : 0.938 0.934 +S K
4969 ; 9 Lw N 1772 606 M 2072 606 I 2072 805 I 1772 805 I 1772 606 I C
4970 : 1 1 1 1 scol O ; : 0.938 0.934 +S K
4971 ; /F0S2E F0 [46.063 0 0 -46.063 0 0 ] mFS
4972 F0S2E Ji
4973 1950 400 M ([RSSV > 0])[13 33 31 31 30 13 27 13 26 0]xS
4974 /F4S2E F4 [46.063 0 0 -46.063 0 0 ] mFS
4975 F4S2E Ji
4976 1950 457 M (s)S
4977 /F0S1D F0 [29.039 0 0 -29.039 0 0 ] mFS
4978 F0S1D Ji
4979 1977 463 M (2)S
4980 /F0S2E F0 [46.23 0 0 -46.23 0 0 ] mFS
4981 F0S2E Ji
4982 1968 873 M ([RSSV )[13 33 30 31 30 0]xS
4983 /F4S2E F4 [46.23 0 0 -46.23 0 0 ] mFS
4984 F4S2E Ji
4985 2118 874 M <A3>S
4986 F0S2E Ji
4987 2144 873 M ( 0])[13 25 0]xS
4988 N 1811 226 203 47 rp C
4989 1 1 1 1 scol L 0 0 0 1 scol /F0S29 F0 [41.227 0 0 -41.227 0 0 ] mFS
4990 F0S29 Ji
4991 1811 264 M (From RTPI)[26 14 23 35 11 30 25 28 0]xS
4992 N 1346 230 177 47 rp C
4993 1 1 1 1 scol L 0 0 0 1 scol 1346 268 M (To RTPI )[25 24 11 30 25 28 11 11 0]xS
4994 F1S2A Ji
4995 1338 1004 M (Figure )[26 12 26 26 16 23 0]xS
4996 1479 1004 M (8)S
4997 1502 1004 M (: EHM Model Of Queued Receiver ISR)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 33 26 23 26 23 26 12 30 23 23 23 12 23 23 16 12
4998 12 28 0]xS
4999 F0S2A Ji
5000 1275 1201 M (Figures )[26 10 23 23 14 23 20 0]xS
5001 1426 1201 M (7)S
5002 1449 1201 M ( and )[12 23 23 23 0]xS
5003 1542 1201 M (8)S
5004 1565 1201 M ( show EHM models of a queued receiver)[12 20 23 23 29 12 28 30 35 13 36 23 23 23 10 20 13 23 13 13 23 13 23 23 23 23 23 23 13 14 23 21
5005 23 10 23 23 0]xS
5006 1275 1249 M (IS and the associated ISR, respectively. In interpreting)[12 28 15 23 23 23 15 12 23 23 15 23 20 20 23 21 10 23 12 23 23 15 12 28 30 12 15 14 23 20 23 23
5007 21 12 10 23 23 10 21 12 16 16 12 23 16 10 23 12 23 14 23 14 23 12 10 23 0]xS
5008 1275 1297 M (the figures, assume that )[12 23 23 16 13 10 23 23 14 23 20 12 16 23 20 20 23 36 23 16 12 23 23 12 0]xS
5009 F2S2A Ji
5010 1750 1297 M (q)S
5011 F0S2A Ji
5012 1773 1297 M ( represents the occupancy of)[16 14 23 23 14 23 20 23 23 12 20 16 12 23 23 16 23 21 21 23 23 23 23 21 21 16 23 0]xS
5013 1275 1346 M (the queue, that the IS will assert a hardware interrupt)[12 23 23 19 23 23 23 23 23 12 19 12 23 23 12 19 12 23 23 20 12 28 20 29 10 10 10 20 23 20 20 23
5014 14 12 20 23 20 23 23 14 23 29 23 14 23 20 10 23 12 23 14 14 23 23 0]xS
5015 1275 1394 M (when the queue fills to L)[29 23 23 23 16 12 23 23 16 23 23 23 23 23 17 13 10 10 10 20 17 12 23 17 0]xS
5016 F0S1B Ji
5017 1750 1400 M (1)S
5018 F0S2A Ji
5019 1765 1394 M (, that the queue has capacity)[12 17 12 23 23 12 17 12 23 23 17 23 23 23 23 23 17 23 23 20 17 21 23 23 23 21 10 12 0]xS
5020 1275 1442 M (L)S
5021 F0S1B Ji
5022 1298 1448 M (2)S
5023 F0S2A Ji
5024 1313 1442 M (, that the queue can fill at the rate R)[12 19 12 23 23 12 19 12 23 23 19 23 23 23 23 23 19 21 23 23 19 13 10 10 10 19 23 12 19 12 23 23
5025 19 14 23 12 23 19 0]xS
5026 F0S1B Ji
5027 2044 1448 M (1)S
5028 F0S2A Ji
5029 2059 1442 M (, and that the)[12 19 23 23 23 19 12 23 23 12 19 12 23 0]xS
5030 1275 1490 M (software can empty the queue at rate R)[20 23 13 12 29 23 14 23 12 21 23 23 12 23 36 23 12 21 12 12 23 23 12 23 23 23 23 23 12 23 12 12
5031 14 23 12 23 12 0]xS
5032 F0S1B Ji
5033 2008 1496 M (2)S
5034 F0S2A Ji
5035 2023 1490 M (.)S
5036 1275 1588 M (The IS EHM \(Figure )[26 23 23 19 12 28 19 28 30 35 19 14 26 10 23 23 14 23 0]xS
5037 1690 1588 M (7)S
5038 1713 1588 M (\) begins in configuration A with)[14 20 23 23 23 10 23 20 20 10 23 20 21 23 23 13 10 23 23 14 23 12 10 23 23 20 28 20 29 10 12 0]xS
5039 1275 1636 M (q=0 \(an empty queue\) and RSSV=0 \(not requesting)[23 25 23 25 14 23 23 25 23 36 23 12 21 25 23 23 23 23 23 14 25 23 23 23 26 30 28 28 28 25 23 26
5040 14 23 23 12 26 14 23 23 23 23 20 12 10 23 0]xS
5041 1275 1684 M (CPU attention\). At an arbitrary time, environmental)[30 28 30 25 23 12 12 23 23 12 10 23 23 14 12 25 25 28 12 25 23 23 25 23 14 23 10 12 14 23 14 21
5042 25 12 10 36 23 12 26 23 23 23 10 14 23 23 36 23 23 12 23 0]xS
5043 1275 1735 M (input event )[10 23 23 23 12 14 23 23 23 23 12 0]xS
5044 F4S2A Ji
5045 1498 1735 M (s)S
5046 F0S1B Ji
5047 1523 1741 M (1)S
5048 F0S2A Ji
5049 1538 1735 M ( will cause the IS to assume configuration)[14 29 10 10 10 14 21 23 23 20 23 14 12 23 23 14 12 28 14 12 23 14 23 20 20 23 36 23 15 21 23 23
5050 13 10 23 23 14 23 12 10 23 0]xS
5051 : N 1498 1740 24 2 rp C
5052 L ; 1275 1783 M (B. In configuration B, the queue begins to fill at rate R)[28 12 13 13 12 23 13 21 23 23 13 10 23 23 14 23 12 10 23 23 13 28 12 13 12 23 23 13 23 23 23 23
5053 23 13 23 23 23 10 23 20 13 12 23 13 13 10 10 10 13 23 12 13 14 23 12 23 14 0]xS
5054 F0S1B Ji
5055 2298 1789 M (1)S
5056 F0S2A Ji
5057 2313 1783 M (.)S
5058 1275 1831 M (When the queue reaches L)[42 23 23 23 43 12 23 23 43 23 23 23 23 23 44 14 23 23 21 23 23 20 44 0]xS
5059 F0S1B Ji
5060 1903 1837 M (1)S
5061 F0S2A Ji
5062 1918 1831 M (, the IS assumes)[12 44 12 23 23 44 12 28 44 23 20 20 23 36 23 0]xS
5063 1275 1879 M (configuration C, in which it is requesting attention from)[21 23 23 13 10 23 23 14 23 12 10 23 23 16 30 12 17 10 23 17 29 23 10 21 23 17 10 12 17 10 20 17
5064 14 23 23 23 23 20 12 10 23 23 17 23 12 12 23 23 12 10 23 23 17 13 14 23 0]xS
5065 1275 1927 M (the CPU. If the software ISR fails to intervene in time)[12 23 23 16 30 28 30 12 16 16 12 13 16 12 23 23 17 20 23 13 12 29 23 14 23 17 12 28 30 17 13 23
5066 10 10 20 17 12 23 17 10 23 12 23 14 23 23 23 23 17 10 23 17 12 10 36 0]xS
5067 1275 1975 M (and the queue reaches L)[23 23 23 25 12 23 23 25 23 23 23 23 23 25 14 23 23 21 23 23 20 25 0]xS
5068 F0S1B Ji
5069 1787 1981 M (2)S
5070 F0S2A Ji
5071 1802 1975 M (, the ILC will be entered;)[12 26 12 23 23 26 12 23 30 26 29 10 10 10 26 23 23 26 23 23 12 23 14 23 23 0]xS
5072 1275 2026 M (otherwise the ISR will send event )[23 12 23 23 14 29 10 20 23 18 12 23 23 18 12 28 30 18 29 10 10 10 18 20 23 23 23 18 23 23 23 23
5073 12 0]xS
5074 F4S2A Ji
5075 1941 2026 M (s)S
5076 F0S1B Ji
5077 1966 2032 M (2)S
5078 F0S2A Ji
5079 1981 2026 M (, which will cause)[12 19 29 23 10 21 23 19 29 10 10 10 19 21 23 23 20 0]xS
5080 : N 1941 2031 24 2 rp C
5081 L ; 1275 2074 M (the queue to empty at the rate R)[12 23 23 16 23 23 23 23 23 16 12 23 16 23 36 23 12 21 16 23 12 16 12 23 23 16 14 23 12 23 16 0]xS
5082 F0S1B Ji
5083 1905 2080 M (1)S
5084 F0S2A Ji
5085 1920 2074 M (-R)[14 0]xS
5086 F0S1B Ji
5087 1964 2080 M (2)S
5088 F0S2A Ji
5089 1979 2074 M ( until the queue is)[16 23 23 12 10 10 16 12 23 23 16 23 23 23 23 23 17 10 0]xS
5090 1275 2122 M (empty. The ISR EHM model \(Figure )[23 36 23 12 21 12 15 16 26 23 23 16 12 28 30 16 28 30 35 16 36 23 23 23 10 16 14 26 10 23 23 14
5091 23 0]xS
5092 1996 2122 M (8)S
5093 2019 2122 M (\) is substantially)[14 16 10 20 16 20 23 23 20 12 23 23 12 10 23 10 10 0]xS
5094 1275 2170 M (simpler, it simply waits in a configuration for the IS)[20 10 36 23 10 23 14 12 24 10 12 24 20 10 36 23 10 21 24 29 23 10 12 20 24 10 23 25 23 25 21 23
5095 23 13 10 23 23 14 23 12 10 23 23 25 13 23 14 25 12 23 23 25 12 0]xS
5096 1275 2218 M (queue to empty.)[23 23 23 23 23 12 12 23 12 23 36 23 12 21 0]xS
5097 1275 2414 M (NON-ATOMIC ISRS)[30 33 30 14 28 26 33 35 12 30 12 12 28 30 0]xS
5098 1275 2512 M (By )[28 21 0]xS
5099 F2S2A Ji
5100 1337 2512 M (atomic ISR)[23 12 23 35 9 21 13 11 28 0]xS
5101 F0S2A Ji
5102 1542 2512 M ( we mean an ISR which will always run to)[13 29 23 13 36 23 23 23 14 23 23 14 12 28 30 14 29 23 10 21 23 14 29 10 10 10 14 23 10 29 23 21
5103 20 14 14 23 23 14 12 0]xS
5104 1275 2561 M (completion because it cannot be interrupted by any)[21 23 36 23 10 23 12 10 23 23 26 23 23 21 23 23 20 23 26 10 12 26 21 23 23 23 23 12 27 23 23 27
5105 10 23 12 23 14 14 23 23 12 23 23 27 23 21 27 23 23 0]xS
5106 1275 2609 M (other ISR. We have found that software developers)[23 12 23 23 14 22 12 28 30 12 22 22 42 23 22 23 23 23 23 22 13 23 23 23 23 23 12 23 23 12 23 20
5107 23 13 12 29 23 14 23 23 23 23 23 23 10 23 23 23 14 0]xS
5108 1275 2657 M (intuitively avoid non-atomic ISRs. Most experienced)[10 23 12 23 10 12 10 23 23 10 21 23 23 23 23 10 23 24 23 23 23 14 23 12 23 36 10 21 24 12 28 30
5109 20 12 24 24 35 23 20 12 24 23 22 23 23 14 10 23 23 21 23 0]xS
5110 1275 2705 M (software developers have seen more than one elusive)[20 23 13 12 29 23 14 23 18 23 23 23 23 10 23 23 23 14 20 18 23 23 23 23 18 20 23 23 23 18 36 23
5111 14 23 19 12 23 23 23 19 23 23 23 19 23 10 23 20 10 23 0]xS
5112 1275 2753 M (software defect traced to improper treatment of)[20 23 13 12 29 23 14 23 41 23 23 13 23 21 12 41 12 14 23 21 23 23 41 12 23 41 10 36 23 14 23 23
5113 23 14 41 12 14 23 23 12 36 23 23 12 42 23 0]xS
5114 1275 2801 M (interrupts, and consequently will intuitively attempt to)[10 23 12 23 14 14 23 23 12 20 12 23 23 23 23 23 21 23 23 20 23 23 23 23 23 12 10 21 23 29 10 10
5115 10 23 10 23 12 23 10 12 10 23 23 10 21 23 23 12 12 23 36 23 12 23 12 0]xS
5116 1275 2849 M (limit the freedom of the SS by allowing only atomic)[10 10 36 10 12 23 12 23 23 23 13 14 23 23 23 23 36 23 23 13 23 12 23 23 24 28 28 24 23 21 24 23
5117 10 10 23 29 10 23 23 24 23 23 10 21 24 23 12 23 36 10 0]xS
5118 1275 2897 M (ISRs. Most microprocessor SSs involve only atomic)[12 28 30 20 12 22 23 35 23 20 12 23 36 10 21 14 23 23 14 23 21 23 20 20 23 14 23 28 28 20 23 10
5119 23 23 23 10 23 23 23 23 23 10 21 23 23 12 23 36 10 0]xS
5120 1275 2945 M (ISRs.)[12 28 30 20 0]xS
5121 LH
5122 (%%[Page: 10]%%) =
5123 %%PageTrailer
5124
5125 %%Page: 11 11
5126 %%PageBoundingBox: 18 8 593 784
5127 %%EndPageComments
5128 %%BeginPageSetup
5129 /DeviceRGB dup setcolorspace /colspABC exch def
5130 mysetup concat colspRefresh
5131 %%EndPageSetup
5132
5133 0 0 0 1 scol 1185 3158 M (1)S
5134 1208 3158 M (1)S
5135 75 156 M (It occasionally occurs, however, that a collection of ISs)[12 12 16 23 21 21 23 20 10 23 23 23 10 10 21 16 23 21 21 23 14 20 12 16 23 23 29 23 23 23 14 12
5136 16 12 23 23 12 16 23 16 21 23 10 10 23 21 12 10 23 23 16 23 13 17 12 28 0]xS
5137 75 204 M (and ISRs are mutually incompatible with respect to AIL,)[23 23 23 14 12 28 30 20 14 23 14 23 14 36 23 12 23 23 10 10 21 14 10 23 21 23 36 23 23 12 10 23
5138 10 23 15 29 10 12 23 15 14 23 20 23 23 21 12 15 12 23 15 28 12 23 0]xS
5139 75 252 M (and that compatibility can be achieved by making at)[23 23 23 22 12 23 23 12 22 21 23 36 23 23 12 10 23 10 10 10 12 21 22 21 23 23 22 23 23 23 23 21
5140 23 10 23 23 23 23 23 23 21 23 36 23 21 10 23 23 23 23 0]xS
5141 75 300 M (least one ISR interruptible by higher-priority ISRs.)[10 23 23 20 12 33 23 23 23 33 12 28 30 33 10 23 12 23 14 14 23 23 12 10 23 10 23 33 23 21 34 23
5142 10 23 23 23 14 14 23 14 10 23 14 10 12 21 34 12 28 30 20 0]xS
5143 75 348 M (Fortunately, most microprocessor interrupt hardware is)[26 23 14 12 23 23 23 12 23 10 21 12 19 36 23 20 12 19 36 10 21 14 23 23 14 23 21 23 20 20 23 14
5144 19 10 23 12 23 14 14 23 23 12 19 23 23 14 23 29 23 14 23 20 10 0]xS
5145 75 396 M (very flexible, in that substantial control is available over)[23 23 14 21 14 13 10 23 22 10 23 10 23 12 14 10 23 14 12 23 23 12 14 20 23 23 20 12 23 23 12 10
5146 23 10 14 21 23 23 12 14 23 10 14 10 20 15 23 23 23 10 10 23 23 10 23 15 23 23 23 0]xS
5147 75 444 M (when a certain priority of ISR can be interrupted, and by)[29 23 23 23 13 23 13 21 23 14 12 23 10 23 13 23 14 10 23 14 10 12 21 13 23 13 13 12 28 30 13 21
5148 23 23 13 23 23 13 10 23 12 23 14 14 23 23 12 23 23 12 14 23 23 23 14 23 0]xS
5149 75 492 M (which other ISRs it can be interrupted.)[29 23 10 21 23 12 23 12 23 23 14 12 12 28 30 20 12 10 12 12 21 23 23 12 23 23 12 10 23 12 23 14
5150 14 23 23 12 23 23 0]xS
5151 75 590 M (If reachability analysis shows that AIL violations are)[12 13 25 14 23 23 21 23 23 23 10 10 10 12 21 25 23 23 23 10 21 20 10 20 25 20 23 23 29 20 25 12
5152 23 23 12 25 28 12 23 26 23 10 23 10 23 12 10 23 23 20 26 23 14 0]xS
5153 75 638 M (possible, we propose the following modeling and)[23 23 20 20 10 23 10 23 12 37 29 23 37 23 14 23 23 23 20 23 37 12 23 23 37 13 23 10 10 23 29 10
5154 23 23 37 36 23 23 23 10 10 23 23 38 23 23 0]xS
5155 75 686 M (software design approach to create a system without)[20 23 13 12 29 23 14 23 22 23 23 20 10 23 23 23 23 23 23 14 23 23 21 23 23 12 23 23 21 14 23 23
5156 12 23 23 23 23 20 21 20 12 23 36 23 29 10 12 23 23 23 0]xS
5157 75 734 M (potential AIL violations.)[23 23 12 23 23 12 10 23 10 12 28 12 23 12 23 10 23 10 23 12 10 23 23 20 0]xS
5158 75 832 M (A lower-priority ISR should be divided into an integral)[28 19 10 23 29 23 14 14 23 14 10 23 14 10 12 21 19 12 28 30 19 20 23 23 23 10 23 20 23 23 20 23
5159 10 23 10 23 23 23 20 10 23 12 23 20 23 23 20 10 23 12 23 23 14 23 0]xS
5160 75 880 M (number of segments of approximately equal execution)[23 23 36 23 23 14 18 23 13 18 20 23 23 36 23 23 12 20 18 23 13 19 23 23 23 14 23 22 10 36 23 12
5161 23 10 21 19 23 23 23 23 10 19 23 22 23 21 23 12 10 23 0]xS
5162 75 928 M (time. The number of segments must be chosen so as to)[12 10 36 23 12 12 12 26 23 23 12 23 23 36 23 23 14 12 23 13 12 20 23 23 36 23 23 12 20 12 36 23
5163 20 12 12 23 23 13 21 23 23 20 23 23 13 20 23 13 23 20 13 12 0]xS
5164 75 976 M (relieve the AIL problem and create a system where no)[14 23 10 10 23 23 23 17 12 23 23 17 28 12 23 17 23 14 23 23 10 23 36 17 23 23 23 17 21 14 23 23
5165 12 23 17 23 17 20 21 20 12 23 36 17 29 23 23 14 23 17 23 0]xS
5166 75 1024 M (AIL violation is possible, i.e. for a system that is almost)[28 12 23 15 23 10 23 10 23 12 10 23 23 15 10 20 15 23 23 20 20 10 23 10 23 12 15 10 12 23 12 15
5167 13 23 14 15 23 15 20 21 20 12 23 36 15 12 23 23 12 15 10 20 15 23 10 36 23 20 0]xS
5168 75 1072 M (satisfactory, N=2 \(a bisection\) would be appropriate, but)[20 23 12 10 20 13 23 21 12 23 14 21 12 13 30 25 23 14 14 23 14 23 10 20 23 21 12 10 23 23 14 14
5169 29 23 23 10 23 14 23 23 14 23 23 23 14 23 23 14 10 23 12 23 12 14 23 23 0]xS
5170 75 1120 M (for more severe timing problems a larger N may be)[13 23 14 22 36 23 14 23 23 20 23 23 23 14 23 23 12 10 36 10 23 23 23 23 14 23 23 10 23 36 20 23
5171 23 23 10 23 14 23 23 14 23 30 23 36 23 21 23 23 0]xS
5172 75 1168 M (required. Figure )[14 23 23 23 10 14 23 23 12 17 17 26 10 23 23 14 23 0]xS
5173 410 1168 M (9)S
5174 433 1168 M ( shows the SS model resulting from)[17 20 23 23 29 20 17 12 23 23 17 28 28 17 36 23 23 23 10 18 14 23 20 23 10 12 10 23 23 18 13 14
5175 23 0]xS
5176 75 1216 M (our approach \(with N=3, a trisection\) applied to a system)[23 23 14 12 23 23 23 14 23 23 21 23 12 14 29 10 12 23 12 30 25 23 12 12 23 12 12 14 10 20 23 21
5177 12 10 23 23 14 12 23 23 23 10 10 23 23 12 12 23 12 23 13 20 21 20 12 23 0]xS
5178 75 1264 M (with two ISRs, where ISR)[29 10 12 23 14 12 29 23 14 12 28 30 20 12 14 29 23 23 14 23 14 12 28 0]xS
5179 F0S1B Ji
5180 553 1270 M (1)S
5181 F0S2A Ji
5182 568 1264 M ( is the higher-priority ISR and)[14 10 20 14 12 23 23 15 23 10 23 23 23 14 14 23 14 10 23 14 10 12 21 15 12 28 30 15 23 23 0]xS
5183 75 1312 M (ISR)[12 28 0]xS
5184 F0S1B Ji
5185 145 1318 M (2)S
5186 F0S2A Ji
5187 160 1312 M ( is the lower-priority ISR. Note that the model of)[18 10 20 18 12 23 23 19 10 23 29 23 14 14 23 14 10 23 14 10 12 21 19 12 28 30 12 19 19 30 23 12
5188 23 19 12 23 23 12 19 12 23 23 19 36 23 23 23 10 19 23 0]xS
5189 75 1360 M (ISR)[12 28 0]xS
5190 F0S1B Ji
5191 145 1366 M (1)S
5192 F0S2A Ji
5193 160 1360 M ( now appears in three places in the SS EHM. Note)[13 23 23 29 14 23 23 23 23 23 14 20 14 10 23 14 12 23 14 23 23 14 23 10 23 21 23 20 14 10 23 14
5194 12 23 23 14 28 28 14 28 30 35 12 14 14 30 23 12 0]xS
5195 75 1408 M (also that the guards implement priority resolution, and)[23 10 20 23 19 12 23 23 12 19 12 23 23 19 23 23 23 14 23 20 19 10 36 23 10 23 36 23 23 12 19 23
5196 14 10 23 14 10 12 21 20 14 23 20 23 10 23 12 10 23 23 12 20 23 23 0]xS
5197 75 1456 M (only allow ISR)[23 23 10 21 12 23 10 10 23 29 12 12 28 0]xS
5198 F0S1B Ji
5199 341 1462 M (2)S
5200 F0S2A Ji
5201 356 1456 M ( to be interrupted at certain points.)[12 12 23 12 23 23 12 10 23 12 23 14 14 23 23 12 23 23 12 23 12 12 21 23 14 12 23 10 23 12 23 23
5202 10 23 12 20 0]xS
5203 : 2137 1319 24 6411 1050 647 75 1613 F F 3 [ 0 0 0 ] F
5204 X
5205 doNimage
5206 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5207 JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$JH16$JH16$JH16$
5208 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5209 irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5210 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$
5211 JcC<$PlH:7JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5212 JH16$JH16$JH16$JH16$JH16$JH16$irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7JH16$JH16$JH16$
5213 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5214 JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5215 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$irFZ1JcC<$JcC<$
5216 JcC<$JcC<$JcCu7JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5217 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH4^1JcC<$JcC<$JcC<$JcC<$JcC<$PlH:7JH16$
5218 JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$JH16$
5219 JH16$JH16$JH16$irFZ1JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5220 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5221 JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5222 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5223 JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5224 JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5225 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5226 JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5227 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5228 JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5229 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5230 kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5231 JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5232 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5233 JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5234 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5235 JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5236 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5237 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5238 JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5239 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5240 kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5241 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5242 JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5243 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5244 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5245 JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5246 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5247 JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5248 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5249 JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5250 JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5251 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5252 JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5253 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5254 JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5255 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5256 kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5257 JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5258 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5259 JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5260 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5261 JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5262 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5263 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5264 JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5265 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5266 kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5267 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5268 JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5269 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5270 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5271 JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5272 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5273 JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5274 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5275 JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5276 JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5277 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5278 JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5279 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5280 JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5281 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5282 kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5283 JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
5284 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5285 JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5286 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$
5287 JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5288 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7
5289 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5290 JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$
5291 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6
5292 kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5293 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$
5294 JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5295 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$
5296 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5297 JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$
5298 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7
5299 JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5300 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$
5301 JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5302 JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$
5303 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5304 JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5305 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$
5306 JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5307 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7
5308 kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5309 JcC<$JcC<$JcC<$JcC<$JcCr6kl?;7JcC<$JcC<$JcC<$JcC<$JcCu7kl?;7JcC<$JcC<$JcC<$
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5477 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
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5484 JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
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5487 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5488 JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5489 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
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5493 PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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5503 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$
5504 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5505 JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5506 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$
5507 JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5508 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$
5509 PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5510 JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$
5511 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5512 JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5513 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$
5514 JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
5515 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJ
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5517 JcC<$JcC<$JcC<$JcC<$PQ0kIJcC<$JcC<$JcC<$JcC<$JcC<$PlKtJJcC<$JcC<$JcC<$JcC<$
5518 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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7103 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
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7113 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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7119 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
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7124 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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7129 JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7130 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7131 JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7132 JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
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7135 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7136 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7137 JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
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7139 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7140 JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7141 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7142 JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7143 JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7144 JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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7146 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7147 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7148 JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
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7151 JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7152 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7153 JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7154 JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
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7157 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7158 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7159 JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
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7162 JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7163 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7164 JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7165 JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7166 JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7167 JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7168 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7169 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7170 JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7171 JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7172 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7173 JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7174 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7175 JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7176 JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7177 JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7178 JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$
7179 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7180 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7181 JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
7182 JcC<$JcC<$JcC<$JcFX-kl?;7JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7
7183 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$
7184 JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$
7185 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$JcC<$JcC<$JcC<$JcFX-kl?;7
7186 JcC<$M>uf?JcC<$JcC<$JcC<$JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$
7187 JcC<$JcC<$JcC<$JcC<$JcC<$JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7
7188 JcC<$JcC<$JcC<$RfDUPJcC<$JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
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7190 JcD2=kl?;7JcC<$JcC<$JcFs7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7191 JcF@%JcC<$JcC<$JcC<$JcC<$JcC<$huDp@JcC<$JcCT,kl?;7JcC<$JcC<$JcC<$RfDUPJcC<$
7192 JcC<$JcC<$kl?;7JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$fDgF%JcC<$
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7943 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7944 JcC<$JcC<$JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5V#THTk5X6;n,Lu>i;_^8h>d$GJcC<$
7945 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7946 lMlG8JcC<$JcC<$JcC<$JcC<$JcFX-JH16$JH16$hZ1k"nc5B`WW;Dcf)XP)li>Z;nc47@JcC<$
7947 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7948 JcC<$JcC<$JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5T)Z+sJcF=$nc47@JcC<$JcC<$JcC<$
7949 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$
7950 JcC<$JcC<$JcC<$huA6-JH16$JH4R-bQ%,5R/ao$JcF*snc47@JcC<$JcC<$JcC<$JcC<$JcC<$
7951 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$
7952 JcC<$huA6-JH16$JH4R-bQ%,5P5i]*JcEmmnc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7953 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7954 JcC<$L]?oFLB$96JcEIanc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7955 JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?oFJcC<$
7956 V>p)dJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7957 JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCN*nc47@JcDSHnc47@JcC<$JcC<$
7958 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$
7959 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?oFJcC<$V>p)dJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7960 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$
7961 JcC<$JcC<$JcCN*nc47@JcDSHnc47@JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7962 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?oF
7963 JcC<$V>p)dJcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7964 JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcCN*nc47@JcDSHnc47@JcC<$
7965 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8
7966 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$L]?94JcC<$aoC9!JcC<$JcC<$JcC<$JcC<$JcC<$
7967 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$lMlG8JcC<$JcC<$JcC<$
7968 JcC<$JcC<$JcC<$JcCN*huJ?.JcEjlhuJ?.JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$
7969 JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcC<$JcG$8~> Z
7970 ; F1S2A Ji
7971 105 2350 M (Figure )[26 12 26 26 16 23 0]xS
7972 246 2350 M (9)S
7973 269 2350 M (: EHM Model Of SS With Non-Atomic ISR)[14 12 12 28 30 35 12 35 26 26 23 12 12 33 14 12 28 28 12 39 12 14 26 12 30 26 26 14 29 14 26 37
7974 12 23 12 12 28 0]xS
7975 F0S2A Ji
7976 75 2449 M (If reachability analysis shows that the modified system)[12 13 18 14 23 23 21 23 23 23 10 10 10 12 21 18 23 23 23 10 21 20 10 20 18 20 23 23 29 20 18 12
7977 23 23 12 18 12 23 23 18 36 23 23 10 13 10 23 23 18 20 21 20 12 23 0]xS
7978 75 2497 M (cannot exhibit AIL violations, then the actual software)[21 23 23 23 23 12 20 23 22 23 10 23 10 12 20 28 12 23 20 23 10 23 10 23 12 10 23 23 20 12 20 12
7979 23 23 23 20 12 23 23 21 23 21 12 23 23 10 21 20 23 13 12 29 23 14 0]xS
7980 75 2545 M (should be modified by inserting interrupt windows in the)[20 23 23 23 10 23 14 23 23 14 36 23 23 10 13 10 23 23 14 23 21 15 10 23 20 23 14 12 10 23 23 15
7981 10 23 12 23 14 14 23 23 12 15 29 10 23 23 23 29 20 15 10 23 15 12 23 0]xS
7982 75 2593 M (lower-priority ISR. Such windows would typically consist)[10 23 29 23 14 14 23 14 10 23 14 10 12 21 12 12 28 30 12 12 12 28 23 21 23 13 29 10 23 23 23 29
7983 20 13 29 23 23 10 23 13 12 21 23 10 21 23 10 10 21 13 21 23 23 20 10 20 0]xS
7984 75 2641 M (of an instruction which enables interrupts immediately)[23 13 20 23 23 21 10 23 20 12 14 23 21 12 10 23 23 21 29 23 10 21 23 21 23 23 23 23 10 23 20 21
7985 10 23 12 23 14 14 23 23 12 20 21 10 36 36 23 23 10 23 12 23 10 0]xS
7986 75 2689 M (followed by an instruction which disables interrupts.)[13 23 10 10 23 29 23 23 28 23 21 28 23 23 28 10 23 20 12 14 23 21 12 10 23 23 29 29 23 10 21 23
7987 29 23 10 20 23 23 10 23 20 29 10 23 12 23 14 14 23 23 12 20 0]xS
7988 75 2737 M (These windows would allow the lower-priority ISR to be)[26 23 23 20 23 15 29 10 23 23 23 29 20 15 29 23 23 10 23 16 23 10 10 23 29 16 12 23 23 16 10 23
7989 29 23 14 14 23 14 10 23 14 10 12 21 16 12 28 30 16 12 23 16 23 0]xS
7990 75 2785 M (interrupted, but only at certain points. We feel that an)[10 23 12 23 14 14 23 23 12 23 23 12 16 23 23 12 17 23 23 10 21 17 23 12 17 21 23 14 12 23 10 23
7991 17 23 23 10 23 12 20 12 17 17 42 23 17 13 23 23 10 17 12 23 23 12 17 23 0]xS
7992 75 2833 M (approach using interrupt windows is safer than allowing)[23 23 23 14 23 23 21 23 16 23 20 10 23 23 16 10 23 12 23 14 14 23 23 12 16 29 10 23 23 23 29 20
7993 16 10 20 16 20 23 13 23 14 16 12 23 23 23 16 23 10 10 23 29 10 23 0]xS
7994 75 2881 M (the lower-priority ISR to be interrupted at an arbitrary)[12 23 23 20 10 23 29 23 14 14 23 14 10 23 14 10 12 21 20 12 28 30 21 12 23 21 23 23 21 10 23 12
7995 23 14 14 23 23 12 23 23 21 23 12 21 23 23 21 23 14 23 10 12 14 23 14 0]xS
7996 75 2929 M (point.)[23 23 10 23 12 0]xS
7997 1275 156 M (ADDITIONAL MODELING SCENARIOS)[28 30 30 12 26 12 33 30 28 23 12 35 33 30 28 23 12 30 33 12 28 30 28 30 28 30 12 33 0]xS
7998 1275 254 M (The examples presented in the preceding sections)[26 23 23 31 23 22 23 36 23 10 23 20 31 23 14 23 20 23 23 12 23 23 31 10 23 31 12 23 23 32 23 14
7999 23 21 23 23 10 23 23 32 20 23 21 12 10 23 23 0]xS
8000 1275 302 M (illustrate the hybrid system modeling of ISs and the SS.)[10 10 10 23 20 12 14 23 12 23 14 12 23 23 14 23 21 23 14 10 23 14 20 21 20 12 23 36 14 36 23 23
8001 23 10 10 23 23 14 23 13 14 12 28 20 14 23 23 23 14 12 23 23 15 28 28 0]xS
8002 1275 350 M (The examples have been chosen to demonstrate the)[26 23 23 22 23 22 23 36 23 10 23 20 22 23 23 23 23 22 23 23 23 23 22 21 23 23 20 23 23 22 12 23
8003 23 23 23 36 23 23 20 12 14 23 12 23 23 12 23 0]xS
8004 1275 398 M (EHM modeling of essential features of a microprocessor)[28 30 35 13 36 23 23 23 10 10 23 23 13 23 13 13 23 20 20 23 23 12 10 23 10 13 13 23 23 12 23 14
8005 23 20 13 23 13 13 23 13 36 10 21 14 23 23 14 23 21 23 20 20 23 0]xS
8006 1275 446 M (system.)[20 21 20 12 23 36 0]xS
8007 1275 544 M (In practice, ISs and ISRs are not qualitatively different)[12 23 17 23 14 23 21 12 10 21 23 12 17 12 28 20 18 23 23 23 18 12 28 30 20 18 23 14 23 18 23 23
8008 12 18 23 23 23 10 10 12 23 12 10 23 23 10 21 18 23 10 13 13 23 14 23 23 0]xS
8009 1275 592 M (than the examples, but they are often far more complex.)[12 23 23 23 12 12 23 23 12 23 22 23 36 23 10 23 20 12 12 23 23 12 12 12 23 23 21 12 23 14 23 13
8010 23 13 12 23 23 13 13 23 14 13 36 23 14 23 13 21 23 36 23 10 23 22 0]xS
8011 1275 640 M (To model complex ISs, it has sometimes been useful to)[26 23 14 36 23 23 23 10 14 21 23 36 23 10 23 22 14 12 28 20 12 14 10 12 14 23 23 20 14 20 23 36
8012 23 12 10 36 23 20 14 23 23 23 23 14 23 20 23 13 23 10 14 12 0]xS
8013 1275 688 M (create an IS which consists of multiple EHMs. For)[21 14 23 23 12 23 24 23 23 24 12 28 24 29 23 10 21 23 25 21 23 23 20 10 20 12 20 25 23 13 25 36
8014 23 10 12 10 23 10 23 25 28 30 35 20 12 25 25 26 23 0]xS
8015 1275 736 M (example, to model a network communication peripheral)[23 22 23 36 23 10 23 12 15 12 23 15 36 23 23 23 10 15 23 15 23 23 12 29 23 14 21 15 21 23 36 36
8016 23 23 10 21 23 12 10 23 23 15 23 23 14 10 23 23 23 14 23 0]xS
8017 1275 784 M (which has a receive queue consisting of RAM storage)[29 23 10 21 23 18 23 23 20 19 23 19 14 23 21 23 10 23 23 19 23 23 23 23 23 19 21 23 23 20 10 20
8018 12 10 23 23 19 23 13 19 30 28 35 19 20 12 23 14 23 23 0]xS
8019 1275 832 M (for a certain integral number of messages, it might be)[13 23 14 18 23 18 21 23 14 12 23 10 23 18 10 23 12 23 23 14 23 10 18 23 23 36 23 23 14 18 23 13
8020 18 36 23 20 20 23 23 23 20 12 18 10 12 18 36 10 23 23 12 19 23 0]xS
8021 1275 880 M (natural to decompose the model into a transmit EHM, a)[23 23 12 23 14 23 10 14 12 23 14 23 23 21 23 36 23 23 20 23 14 12 23 23 14 36 23 23 23 10 14 10
8022 23 12 23 15 23 15 12 14 23 23 20 36 10 12 15 28 30 35 12 15 0]xS
8023 1275 928 M (receive EHM, a receive queue EHM, and an EHM which)[14 23 21 23 10 23 23 12 28 30 35 12 12 23 12 14 23 21 23 10 23 23 13 23 23 23 23 23 13 28 30 35
8024 12 13 23 23 23 13 23 23 13 28 30 35 13 29 23 10 21 0]xS
8025 1275 976 M (generates network physical medium timing. These)[23 23 23 23 14 23 12 23 20 29 23 23 12 29 23 14 21 29 23 23 21 20 10 21 23 10 30 36 23 23 10 23
8026 36 30 12 10 36 10 23 23 12 30 30 26 23 23 20 0]xS
8027 1275 1024 M (EHMs interact using the two interface mechanisms)[28 30 35 20 30 10 23 12 23 14 23 21 12 30 23 20 10 23 23 30 12 23 23 30 12 29 23 30 10 23 12 23
8028 14 13 23 21 23 31 36 23 21 23 23 23 10 20 36 0]xS
8029 1275 1072 M (allowed under the hybrid system framework \(SVs and)[23 10 10 23 29 23 23 20 23 23 23 23 14 20 12 23 23 20 23 21 23 14 10 23 21 20 21 20 12 23 36 21
8030 13 14 23 36 23 29 23 14 21 21 14 28 28 20 21 23 23 0]xS
8031 1275 1120 M (events which are generated by one EHM and accepted)[23 23 23 23 12 20 16 29 23 10 21 23 16 23 14 23 16 23 23 23 23 14 23 12 23 23 16 23 21 16 23 23
8032 23 16 28 30 35 16 23 23 23 17 23 21 21 23 23 12 23 0]xS
8033 1275 1168 M (by another\). It has also been convenient to use guards)[23 21 15 23 23 23 12 23 23 14 14 12 15 15 12 12 15 23 23 20 15 23 10 20 23 15 23 23 23 23 15 21
8034 23 23 23 23 23 10 23 23 12 15 12 23 15 23 20 23 15 23 23 23 14 23 0]xS
8035 1275 1216 M (where the atomic formulas involve comparisons of SVs)[29 23 23 14 23 15 12 23 23 15 23 12 23 36 10 21 16 13 23 14 36 23 10 23 20 16 10 23 23 23 10 23
8036 23 16 21 23 36 23 23 14 10 20 23 23 20 16 23 13 16 28 28 0]xS
8037 1275 1264 M (against each other rather than against constants.)[23 23 23 10 23 20 12 36 23 23 21 23 36 23 12 23 23 14 36 14 23 12 23 23 14 36 12 23 23 23 37 23
8038 23 23 10 23 20 12 37 21 23 23 20 12 23 23 12 20 0]xS
8039 1275 1312 M (Collusion between ISs can also be modeled using SVs)[30 23 10 10 23 20 10 23 23 17 23 23 12 29 23 23 23 17 12 28 20 17 21 23 23 17 23 10 20 23 17 23
8040 23 17 36 23 23 23 10 23 23 17 23 20 10 23 23 18 28 28 0]xS
8041 1275 1360 M (and passed events.)[23 23 23 12 23 23 20 20 23 23 12 23 23 23 23 12 20 0]xS
8042 1275 1458 M (We have not yet encountered and do not anticipate)[42 23 24 23 23 23 23 24 23 23 12 24 21 23 12 24 23 23 21 23 23 23 12 23 14 23 23 24 23 23 23 25
8043 23 23 25 23 23 12 25 23 23 12 10 21 10 23 23 12 0]xS
8044 1275 1506 M (encountering a practical system which cannot be)[23 23 21 23 23 23 12 23 14 10 23 23 36 23 36 23 14 23 21 12 10 21 23 10 37 20 21 20 12 23 36 37
8045 29 23 10 21 23 37 21 23 23 23 23 12 37 23 0]xS
8046 1275 1554 M (evaluated for interrupt latency compatibility using the)[23 23 23 10 23 23 12 23 23 23 13 23 14 23 10 23 12 23 14 14 23 23 12 23 10 23 12 23 23 21 21 23
8047 21 23 36 23 23 12 10 23 10 10 10 12 21 23 23 20 10 23 23 24 12 23 0]xS
8048 1275 1602 M (hybrid system method we have proposed.)[23 21 23 14 10 23 12 20 21 20 12 23 36 12 36 23 12 23 23 23 12 29 23 12 23 23 23 23 12 23 14 23
8049 23 23 20 23 23 0]xS
8050 F1S2A Ji
8051 1275 1810 M (VERIFICATION ALGORITHM)[28 28 30 12 26 12 30 29 27 12 33 30 12 29 26 33 33 30 12 27 30 0]xS
8052 F0S2A Ji
8053 1275 1909 M (Since an algorithm for verifying that the interrupt latency)[28 10 23 21 23 12 23 23 12 23 10 23 23 14 10 12 23 36 12 13 23 14 12 23 23 14 10 13 21 10 23 23
8054 13 12 23 23 12 13 12 23 23 13 10 23 12 23 14 14 23 23 12 13 10 23 12 23 23 21 0]xS
8055 1275 1957 M (compatibility requirement is satisfied is equivalent to an)[21 23 36 23 23 12 10 23 10 10 10 12 21 14 14 23 23 23 10 14 23 36 23 23 12 15 10 20 15 20 23 12
8056 10 20 13 10 23 23 15 10 20 15 23 23 23 10 23 23 10 23 23 12 15 12 23 15 23 0]xS
8057 1275 2005 M (algorithm for checking reachability in the CHM, we)[23 10 23 23 14 10 12 23 36 28 13 23 14 28 21 23 23 21 21 10 23 23 28 14 23 23 21 23 23 23 10 10
8058 10 12 21 28 10 23 28 12 23 23 29 30 30 35 12 29 29 0]xS
8059 1275 2053 M (present a reachability algorithm in this section.)[23 14 23 20 23 23 12 12 23 12 14 23 23 21 23 23 23 10 10 10 12 21 12 23 10 23 23 14 10 12 23 36
8060 12 10 23 12 12 23 10 20 12 20 23 21 12 10 23 23 0]xS
8061 1275 2151 M (The essence of our algorithm is as follows. We start)[26 23 23 19 23 20 20 23 23 21 23 19 23 13 19 23 23 14 19 23 10 23 23 14 10 12 23 36 20 10 20 20
8062 23 20 20 13 23 10 10 23 29 20 12 20 20 42 23 20 20 12 23 14 0]xS
8063 1275 2199 M (from an illegal configuration q'. It will be reached from a)[13 14 23 36 12 23 23 12 10 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 23 8
8064 12 12 12 12 12 13 29 10 10 10 13 23 23 13 14 23 23 21 23 23 23 13 13 14 23 36 13 0]xS
8065 1275 2247 M (legal configuration q only when one IS goes without)[10 23 23 23 10 24 21 23 23 13 10 23 23 14 23 12 10 23 23 24 23 24 23 23 10 21 24 29 23 23 23 24
8066 23 23 23 24 12 28 24 23 23 23 20 24 29 10 12 23 23 23 0]xS
8067 1275 2295 M (service from the SS for too long; that is, when the AIL of)[20 23 14 23 10 21 23 12 13 14 23 36 12 12 23 23 12 28 28 12 13 23 14 12 12 23 23 12 10 23 23 23
8068 12 13 12 23 23 12 13 10 20 12 13 29 23 23 23 13 12 23 23 13 28 12 23 13 23 0]xS
8069 1275 2343 M (the IS is violated or equivalently when G=[t>b] becomes)[12 23 23 13 12 28 13 10 20 13 23 10 23 10 23 12 23 23 13 23 14 13 23 23 23 10 23 23 10 23 23 12
8070 10 21 13 29 23 23 23 13 33 25 12 12 25 23 12 14 23 23 21 23 36 23 0]xS
8071 1275 2391 M (true. This is illustrated in Figure )[12 14 23 23 12 12 12 26 23 10 20 12 10 20 12 10 10 10 23 20 12 14 23 12 23 23 12 10 23 12 26 10
8072 23 23 14 23 0]xS
8073 1884 2391 M (10)[23 0]xS
8074 1930 2391 M (. Such a transition is)[12 13 13 28 23 21 23 13 23 13 12 14 23 23 20 10 12 10 23 23 13 10 0]xS
8075 1275 2439 M (called illegal. Denote the set of illegal dynamic)[21 23 10 10 23 23 33 10 10 10 23 23 23 10 12 33 34 30 23 23 23 12 23 34 12 23 23 34 20 23 12 34
8076 23 13 34 10 10 10 23 23 23 10 34 23 21 23 23 36 10 0]xS
8077 1275 2496 M (transitions from q by DT\(q, Q)[12 14 23 23 20 10 12 10 23 23 20 12 13 14 23 36 12 23 12 23 21 12 30 26 14 23 12 12 0]xS
8078 F0S1F Ji
8079 1816 2502 M (b)S
8080 F0S2A Ji
8081 1833 2496 M (\).)[14 0]xS
8082 0 Lj 2 Lc 2 Lw : 1534 2557 227 196 rc N 1716 2590 M 1562 2590 I 1561 2709 I 1716 2709 I C
8083 : 1.957 2.039 +S K
8084 ; ; /F5S28 F5 [40.832 0 0 -40.832 0 0 ] mFS
8085 F5S28 Ji
8086 1626 2665 M (I)S
8087 /F5S18 F5 [24.5 0 0 -24.5 0 0 ] mFS
8088 F5S18 Ji
8089 1638 2673 M (q)S
8090 : 1843 2557 222 196 rc N 2032 2592 M 1887 2592 I 1886 2711 I 2032 2711 I C
8091 : 1.957 2.039 +S K
8092 ; ; F5S28 Ji
8093 1944 2667 M (I)S
8094 F5S18 Ji
8095 1955 2675 M (q)S
8096 1967 2675 M <92>S
8097 : 1775 2598 10 40 rc F5S28 Ji
8098 1775 2628 M ( )S
8099 ; : 1785 2598 29 40 rc F5S28 Ji
8100 1785 2628 M (G)S
8101 ; 1 Lw N 1716 2651 M 1879 2651 I : 1.957 2.039 +S K
8102 ; N 1879 2647 M 1879 2655 I 1885 2651 I 1879 2647 I C
8103 O N 1879 2647 M 1879 2655 I : 1.957 2.039 +S K
8104 ; N 1879 2655 M 1885 2651 I : 1.957 2.039 +S K
8105 ; N 1885 2651 M 1879 2647 I : 1.957 2.039 +S K
8106 ; F1S2A Ji
8107 1489 2843 M (Figure )[26 12 26 26 16 23 0]xS
8108 1630 2843 M (10)[23 0]xS
8109 1676 2843 M (. From Legal to Illegal)[12 12 26 16 26 37 12 26 23 26 23 12 12 14 26 12 12 12 12 23 26 23 0]xS
8110 F0S2A Ji
8111 1275 2945 M (In order to guarantee that a transition \(q,G,q\222\))[12 23 37 23 14 23 23 14 37 12 23 38 23 23 23 14 23 23 12 23 23 38 12 23 23 12 38 23 38 12 14 23
8112 23 20 10 12 10 23 23 38 14 23 12 33 12 23 9 0]xS
8113 F4S2A Ji
8114 2296 2945 M <CE>S
8115 F0S2A Ji
8116 1275 3002 M (DT\(q,Q)[30 26 14 23 12 0]xS
8117 F0S1F Ji
8118 1413 3008 M (b)S
8119 F0S2A Ji
8120 1430 3002 M (\) will not take place and result in the violation of)[14 13 29 10 10 10 13 23 23 12 13 12 23 21 23 13 23 10 23 21 23 13 23 23 23 13 14 23 20 23 10 12
8121 13 10 23 13 12 23 23 13 23 10 23 10 23 12 10 23 23 13 23 0]xS
8122 1275 3052 M (an AIL requirement, some other transitions from q \(to)[23 23 20 28 12 23 20 14 23 23 23 10 14 23 36 23 23 12 12 20 20 23 36 23 20 23 12 23 23 14 20 12
8123 14 23 23 20 10 12 10 23 23 20 20 13 14 23 36 20 23 20 14 12 0]xS
8124 LH
8125 (%%[Page: 11]%%) =
8126 %%PageTrailer
8127
8128 %%Page: 12 12
8129 %%PageBoundingBox: 18 8 593 784
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8131 %%BeginPageSetup
8132 /DeviceRGB dup setcolorspace /colspABC exch def
8133 mysetup concat colspRefresh
8134 %%EndPageSetup
8135
8136 0 0 0 1 scol 1185 3158 M (1)S
8137 1208 3158 M (2)S
8138 75 156 M (some legal configurations\) must occur before \(q,G,q\222\))[20 23 36 23 22 10 23 23 23 10 22 21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 22 36 23 20 12 22
8139 23 21 21 23 14 22 23 23 13 23 14 23 22 14 23 12 33 12 23 9 0]xS
8140 75 204 M (can occur. In other words, \(q,G,q\222\) must be preempted)[21 23 23 15 23 21 21 23 14 12 15 15 12 23 16 23 12 23 23 14 16 29 23 14 23 20 12 16 14 23 12 33
8141 12 23 9 14 16 36 23 20 12 16 23 23 16 23 14 23 23 36 23 12 23 0]xS
8142 75 252 M (by some other transitions. This may or may not be)[23 21 22 20 23 36 23 22 23 12 23 23 14 22 12 14 23 23 20 10 12 10 23 23 20 12 23 23 26 23 10 20
8143 23 36 23 21 23 23 14 23 36 23 21 23 23 23 12 23 23 0]xS
8144 75 300 M (possible depending on the continuous variable x at q.)[23 23 20 20 10 23 10 23 12 23 23 23 23 23 23 10 23 23 12 23 23 12 12 23 23 12 21 23 23 12 10 23
8145 23 23 23 20 12 23 23 14 10 23 23 10 23 12 22 12 23 12 12 23 0]xS
8146 75 398 M (To find a preemptive condition for transition \(q,G,q\222\), we)[26 23 13 13 10 23 23 13 23 13 23 14 23 23 36 23 12 10 23 23 13 21 23 23 23 10 12 10 23 23 13 13
8147 23 14 14 12 14 23 23 20 10 12 10 23 23 14 14 23 12 33 12 23 9 14 12 14 29 0]xS
8148 75 446 M (recall our assumption that the invariant I)[14 23 21 23 10 10 17 23 23 14 17 23 20 20 23 36 23 12 10 23 23 18 12 23 23 12 18 12 23 23 18 10
8149 23 23 23 14 10 23 23 12 18 0]xS
8150 F0S1B Ji
8151 856 452 M (q)S
8152 F0S2A Ji
8153 871 446 M ( is violated if)[18 10 20 18 23 10 23 10 23 12 23 23 18 10 0]xS
8154 75 494 M (and only if one of the guards at q is satisfied. Under this)[23 23 23 12 23 23 10 21 12 10 13 12 23 23 23 12 23 13 12 12 23 23 12 23 23 23 14 23 20 12 23 12
8155 12 23 12 10 20 13 20 23 12 10 20 13 10 23 23 12 13 13 30 23 23 23 14 13 12 23 10 0]xS
8156 75 542 M (assumption, the transition \(q,G,q\222\) will be preempted by)[23 20 20 23 36 23 12 10 23 23 12 15 12 23 23 15 12 14 23 23 20 10 12 10 23 23 15 14 23 12 33 12
8157 23 9 14 15 29 10 10 10 16 23 23 16 23 14 23 23 36 23 12 23 23 16 23 0]xS
8158 75 590 M (another dynamic transition from q if and only if the time)[23 23 23 12 23 23 14 14 23 21 23 23 36 10 21 14 12 14 23 23 20 10 12 10 23 23 14 13 14 23 36 14
8159 23 14 10 13 14 23 23 23 14 23 23 10 21 14 10 13 15 12 23 23 15 12 10 36 0]xS
8160 75 638 M (when G will become true is larger \(that is, later\) than the)[29 23 23 23 12 33 12 29 10 10 10 13 23 23 21 23 36 23 13 12 14 23 23 13 10 20 13 10 23 14 23 23
8161 14 13 14 12 23 23 12 13 10 20 12 13 10 23 12 23 14 14 13 12 23 23 23 13 12 23 0]xS
8162 75 686 M (time when will I)[12 10 36 23 14 29 23 23 23 15 15 29 10 10 10 15 0]xS
8163 F0S1B Ji
8164 384 692 M (q)S
8165 F0S2A Ji
8166 399 686 M ( become false. Denote the time when)[15 23 23 21 23 36 23 15 13 23 10 20 23 12 15 15 30 23 23 23 12 23 15 12 23 23 15 12 10 36 23 15
8167 29 23 23 0]xS
8168 75 734 M (the predicate P will become true by T\(P\). We can)[12 23 23 24 23 14 23 23 10 21 23 12 23 24 28 24 29 10 10 10 24 23 23 21 23 36 23 24 12 14 23 23
8169 24 23 21 24 26 14 28 14 12 24 25 42 23 25 21 23 0]xS
8170 75 782 M (calculate T\(P\) as follows, starting from atomic formulas.)[21 23 10 21 23 10 23 12 23 12 26 14 28 14 12 23 20 12 13 23 10 10 23 29 20 12 12 20 12 23 14 12
8171 10 23 23 12 13 14 23 36 12 23 12 23 36 10 21 12 13 23 14 36 23 10 23 20 0]xS
8172 F2S2A Ji
8173 75 889 M (Case 1)[30 23 21 23 12 0]xS
8174 F0S2A Ji
8175 207 889 M (:)S
8176 263 889 M (P=[s)[28 25 12 0]xS
8177 F0S1F Ji
8178 348 895 M (i)S
8179 F4S2A Ji
8180 355 889 M <B3>S
8181 F0S2A Ji
8182 378 889 M (C)S
8183 F0S1F Ji
8184 408 895 M (i)S
8185 F0S2A Ji
8186 415 889 M (] or P=[s)[12 17 23 14 18 28 25 12 0]xS
8187 F0S1F Ji
8188 584 895 M (i)S
8189 F0S2A Ji
8190 591 889 M (>C)[25 0]xS
8191 F0S1F Ji
8192 646 895 M (i)S
8193 F0S2A Ji
8194 653 889 M (], where s)[12 12 18 29 23 23 14 23 18 0]xS
8195 F0S1F Ji
8196 845 895 M (i)S
8197 F0S2A Ji
8198 852 889 M ( is an SV and)[18 10 20 18 23 23 18 28 28 18 23 23 0]xS
8199 : N 75 893 131 3 rp C
8200 L ; 75 948 M (C)S
8201 F0S1F Ji
8202 105 954 M (i)S
8203 F0S2A Ji
8204 112 948 M ( is a constant. By our assumption on continuous)[24 10 20 24 23 24 21 23 23 20 12 23 23 12 12 25 25 28 21 25 23 23 14 25 23 20 20 23 36 23 12 10
8205 23 23 25 23 23 25 21 23 23 12 10 23 23 23 23 0]xS
8206 75 1007 M (dynamics, s)[23 21 23 23 36 10 21 20 12 20 0]xS
8207 F0S1F Ji
8208 304 1013 M (i)S
8209 F0S2A Ji
8210 311 1007 M ( has a constant rate: s)[20 23 23 20 20 23 20 21 23 23 20 12 23 23 12 20 14 23 12 23 12 20 21 0]xS
8211 F0S1F Ji
8212 782 1013 M (i)S
8213 F0S2A Ji
8214 789 1007 M ( = r)[21 25 21 0]xS
8215 F0S1F Ji
8216 870 1013 M (i)S
8217 F0S2A Ji
8218 877 1007 M (. Therefore,)[12 21 21 26 23 23 14 23 13 23 14 23 0]xS
8219 75 1057 M (T\(P\) can be calculated as follows.)[26 14 28 14 12 21 23 23 12 23 23 12 21 23 10 21 23 10 23 12 23 23 12 23 20 12 13 23 10 10 23 29
8220 20 0]xS
8221 /F6S29 F6 [41.609 0 0 -41.609 0 0 ] mFS
8222 F6S29 Ji
8223 81 1258 M (T)S
8224 172 1258 M (P)S
8225 530 1164 M (if)[12 0]xS
8226 603 1164 M (s)S
8227 671 1164 M (C)S
8228 321 1258 M (C)S
8229 397 1258 M (s)S
8230 467 1258 M (r)S
8231 530 1258 M (if)[12 0]xS
8232 603 1258 M (s)S
8233 671 1258 M (C)S
8234 748 1258 M (r)S
8235 602 1351 M (otherwise)[21 11 21 19 16 27 12 16 0]xS
8236 /F6S18 F6 [24.965 0 0 -24.965 0 0 ] mFS
8237 F6S18 Ji
8238 619 1164 M (i)S
8239 699 1164 M (i)S
8240 349 1258 M (i)S
8241 414 1258 M (i)S
8242 483 1258 M (i)S
8243 619 1258 M (i)S
8244 699 1258 M (i)S
8245 764 1258 M (i)S
8246 /F5S18 F5 [24.965 0 0 -24.965 0 0 ] mFS
8247 F5S18 Ji
8248 115 1258 M (min)[20 6 0]xS
8249 /F5S29 F5 [41.609 0 0 -41.609 0 0 ] mFS
8250 F5S29 Ji
8251 154 1258 M (\()S
8252 198 1258 M (\))S
8253 305 1258 M (\()S
8254 423 1258 M (\))S
8255 445 1258 M (/)S
8256 /F4S29 F4 [41.609 0 0 -41.609 0 0 ] mFS
8257 F4S29 Ji
8258 222 1258 M (=)S
8259 637 1164 M (>)S
8260 365 1258 M (-)S
8261 637 1258 M (<)S
8262 714 1258 M <D9>S
8263 782 1258 M (>)S
8264 306 1351 M <A5>S
8265 27450 VM?
8266 /TT1EEb00
8267 [41 0 0 0 0 0 ]
8268 256 array 0 1 255 {1 index exch /.notdef put} for
8269 [0 0 0 0 ]
8270 [1 41 div 0 0 -1 41 div 0 0 ]
8271 /__TT1EEb00
8272 GreNewFont
8273 T32RsrcBegin
8274
8275 1
8276 /Gec [21 0 9 -39 19 3 ]
8277 /Gec [10 42 true [1 0 0 1 -9 39 ] 0 0]
8278 [<~!Pep?)uqqu0E>J\?i]*b^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8279 ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M~>
8280 ]
8281 /TT1EEb00 AddT3T32Char
8282 T32RsrcEnd
8283 F /F9 0 /0 F /TT1EEb00 mF
8284 /F9S29 F9 [41.664 0 0 -41.664 0 0 ] mFS
8285 F9S29 Ji
8286 286 1165 M <01>S
8287 450 VM?
8288 T32RsrcBegin
8289
8290 2
8291 /Ged [21 0 1 -39 11 3 ]
8292 /Ged [10 42 true [1 0 0 1 -1 39 ] 0 0]
8293 [<~!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM!5JWN!It3$!rrQ+%KJHg^]<9m2ujEg
8294 #64i+!It3$!Pe]N!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM~>
8295 ]
8296 /TT1EEb00 AddT3T32Char
8297 T32RsrcEnd
8298 286 1264 M <02>S
8299 450 VM?
8300 T32RsrcBegin
8301
8302 3
8303 /Gef [21 0 8 -39 10 3 ]
8304 /Gef [2 42 true [1 0 0 1 -8 39 ] 0 0]
8305 [<~^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^q]~>
8306 ]
8307 /TT1EEb00 AddT3T32Char
8308 T32RsrcEnd
8309 286 1205 M <03>S
8310 286 1232 M <03>S
8311 450 VM?
8312 T32RsrcBegin
8313
8314 4
8315 /Gee [21 0 9 -39 19 3 ]
8316 /Gee [10 42 true [1 0 0 1 -9 39 ] 0 0]
8317 [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8318 ^];.M^];.M^];.M^];.M^];.MhuI-b?iVk\2ujou#64e?~>
8319 ]
8320 /TT1EEb00 AddT3T32Char
8321 T32RsrcEnd
8322 286 1363 M <04>S
8323 286 1304 M <03>S
8324 286 1344 M <03>S
8325 F5S29 Ji
8326 306 1164 M (0)S
8327 816 1258 M (0)S
8328 F2S2A Ji
8329 75 1472 M (Case 2)[30 23 21 23 12 0]xS
8330 F0S2A Ji
8331 207 1472 M (:)S
8332 263 1472 M (P=[s)[28 25 12 0]xS
8333 F0S1F Ji
8334 348 1478 M (i)S
8335 F4S2A Ji
8336 355 1472 M <A3>S
8337 F0S2A Ji
8338 378 1472 M (C)S
8339 F0S1F Ji
8340 408 1478 M (i)S
8341 F0S2A Ji
8342 415 1472 M (] or P=[s)[12 12 23 14 12 28 25 12 0]xS
8343 F0S1F Ji
8344 573 1478 M (i)S
8345 F0S2A Ji
8346 580 1472 M (<C)[25 0]xS
8347 F0S1F Ji
8348 635 1478 M (i)S
8349 F0S2A Ji
8350 642 1472 M (].)[12 0]xS
8351 : N 75 1476 131 3 rp C
8352 L ; F6S29 Ji
8353 81 1675 M (T)S
8354 171 1675 M (P)S
8355 527 1581 M (if)[12 0]xS
8356 600 1581 M (s)S
8357 667 1581 M (C)S
8358 320 1675 M (C)S
8359 396 1675 M (s)S
8360 464 1675 M (r)S
8361 527 1675 M (if)[12 0]xS
8362 600 1675 M (s)S
8363 667 1675 M (C)S
8364 743 1675 M (r)S
8365 599 1768 M (otherwise)[21 12 21 18 16 28 11 17 0]xS
8366 F6S18 Ji
8367 616 1581 M (i)S
8368 695 1581 M (i)S
8369 348 1675 M (i)S
8370 412 1675 M (i)S
8371 480 1675 M (i)S
8372 616 1675 M (i)S
8373 695 1675 M (i)S
8374 759 1675 M (i)S
8375 F5S18 Ji
8376 115 1675 M (min)[19 7 0]xS
8377 F5S29 Ji
8378 154 1675 M (\()S
8379 198 1675 M (\))S
8380 304 1675 M (\()S
8381 421 1675 M (\))S
8382 443 1675 M (/)S
8383 F4S29 Ji
8384 221 1675 M (=)S
8385 634 1581 M (<)S
8386 364 1675 M (-)S
8387 634 1675 M (>)S
8388 710 1675 M <D9>S
8389 777 1675 M (<)S
8390 305 1768 M <A5>S
8391 27450 VM?
8392 /TT1F3b00
8393 [41 0 0 0 0 0 ]
8394 256 array 0 1 255 {1 index exch /.notdef put} for
8395 [0 0 0 0 ]
8396 [1 41 div 0 0 -1 41 div 0 0 ]
8397 /__TT1F3b00
8398 GreNewFont
8399 T32RsrcBegin
8400
8401 1
8402 /Gec [21 0 9 -39 19 3 ]
8403 /Gec [10 42 true [1 0 0 1 -9 39 ] 0 0]
8404 [<~!Pep?)uqqu0E>J\?i]*b^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8405 ^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M~>
8406 ]
8407 /TT1F3b00 AddT3T32Char
8408 T32RsrcEnd
8409 F /F10 0 /0 F /TT1F3b00 mF
8410 /F10S29 F10 [41.664 0 0 -41.664 0 0 ] mFS
8411 F10S29 Ji
8412 285 1582 M <01>S
8413 450 VM?
8414 T32RsrcBegin
8415
8416 2
8417 /Ged [21 0 1 -39 11 3 ]
8418 /Ged [10 42 true [1 0 0 1 -1 39 ] 0 0]
8419 [<~!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM!5JWN!It3$!rrQ+%KJHg^]<9m2ujEg
8420 #64i+!It3$!Pe]N!5JTM!5JTM!5JTM!5JTM!5JTM!5JTM~>
8421 ]
8422 /TT1F3b00 AddT3T32Char
8423 T32RsrcEnd
8424 285 1681 M <02>S
8425 450 VM?
8426 T32RsrcBegin
8427
8428 3
8429 /Gef [21 0 8 -39 10 3 ]
8430 /Gef [2 42 true [1 0 0 1 -8 39 ] 0 0]
8431 [<~^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^qdb$^q]~>
8432 ]
8433 /TT1F3b00 AddT3T32Char
8434 T32RsrcEnd
8435 285 1622 M <03>S
8436 285 1649 M <03>S
8437 450 VM?
8438 T32RsrcBegin
8439
8440 4
8441 /Gee [21 0 9 -39 19 3 ]
8442 /Gee [10 42 true [1 0 0 1 -9 39 ] 0 0]
8443 [<~^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M^];.M
8444 ^];.M^];.M^];.M^];.M^];.MhuI-b?iVk\2ujou#64e?~>
8445 ]
8446 /TT1F3b00 AddT3T32Char
8447 T32RsrcEnd
8448 285 1780 M <04>S
8449 285 1721 M <03>S
8450 285 1761 M <03>S
8451 F5S29 Ji
8452 305 1581 M (0)S
8453 810 1675 M (0)S
8454 F2S2A Ji
8455 75 1889 M (Case 3)[30 23 21 23 12 0]xS
8456 F0S2A Ji
8457 207 1889 M (:)S
8458 263 1889 M (P=P)[28 25 0]xS
8459 F0S1F Ji
8460 344 1895 M (1)S
8461 F4S2A Ji
8462 361 1889 M <D9>S
8463 F0S2A Ji
8464 387 1889 M (P)S
8465 F0S1F Ji
8466 415 1895 M (2)S
8467 F0S2A Ji
8468 432 1889 M (.)S
8469 : N 75 1893 131 3 rp C
8470 L ; 263 1998 M (T\(P\)=max{T\(P)[26 14 28 14 25 36 23 22 14 26 14 0]xS
8471 F0S1F Ji
8472 533 2004 M (1)S
8473 F0S2A Ji
8474 550 1998 M (\), T\(P)[14 12 12 26 14 0]xS
8475 F0S1F Ji
8476 656 2004 M (2)S
8477 F0S2A Ji
8478 673 1998 M (\)}.)[14 14 0]xS
8479 F2S2A Ji
8480 75 2107 M (Case 4)[30 23 21 23 12 0]xS
8481 F0S2A Ji
8482 207 2107 M (:)S
8483 263 2107 M (P=P)[28 25 0]xS
8484 F0S1F Ji
8485 344 2113 M (1)S
8486 F4S2A Ji
8487 361 2107 M <DA>S
8488 F0S2A Ji
8489 387 2107 M (P)S
8490 F0S1F Ji
8491 415 2113 M (2)S
8492 F0S2A Ji
8493 432 2107 M (.)S
8494 : N 75 2111 131 3 rp C
8495 L ; 263 2216 M (T\(P\)=min{T\(P)[26 14 28 14 25 36 10 23 14 26 14 0]xS
8496 F0S1F Ji
8497 521 2222 M (1)S
8498 F0S2A Ji
8499 538 2216 M (\), T\(P)[14 12 12 26 14 0]xS
8500 F0S1F Ji
8501 644 2222 M (2)S
8502 F0S2A Ji
8503 661 2216 M (\)}.)[14 14 0]xS
8504 F2S2A Ji
8505 75 2316 M (Case 5)[30 23 21 23 12 0]xS
8506 F0S2A Ji
8507 207 2316 M (:)S
8508 263 2316 M (P=true.)[28 25 12 14 23 23 0]xS
8509 : N 75 2320 131 3 rp C
8510 L ; 263 2415 M (T\(P\)=0.)[26 14 28 14 25 23 0]xS
8511 F2S2A Ji
8512 75 2513 M (Case 6)[30 23 21 23 12 0]xS
8513 F0S2A Ji
8514 207 2513 M (:)S
8515 263 2513 M (P=false.)[28 25 13 23 10 20 23 0]xS
8516 : N 75 2517 131 3 rp C
8517 L ; 263 2615 M (T\(P\)=)[26 14 28 14 0]xS
8518 F4S2A Ji
8519 370 2615 M <B5>S
8520 F0S2A Ji
8521 400 2615 M (.)S
8522 75 2713 M (Now, the condition to preempt an illegal transition)[30 23 29 12 30 12 23 23 31 21 23 23 23 10 12 10 23 23 31 12 23 31 23 14 23 23 36 23 12 31 23 23
8523 31 10 10 10 23 23 23 10 31 12 14 23 23 20 10 12 10 23 0]xS
8524 75 2770 M (\(q,G,q'\))[14 23 12 33 12 23 8 0]xS
8525 F4S2A Ji
8526 214 2770 M <CE>S
8527 F0S2A Ji
8528 243 2770 M ( DT\(q,Q)[12 30 26 14 23 12 0]xS
8529 F0S1F Ji
8530 393 2776 M (b)S
8531 F0S2A Ji
8532 410 2770 M (\) is given by)[14 12 10 20 12 23 10 23 23 23 12 23 0]xS
8533 225 2879 M (pc\(q,G,q'\)=[T\(G\)>T\()[23 21 14 23 12 33 12 23 8 14 25 12 26 14 33 14 25 26 0]xS
8534 F4S2A Ji
8535 597 2879 M <D8>S
8536 F0S2A Ji
8537 627 2879 M (I)S
8538 F0S1F Ji
8539 639 2885 M (q)S
8540 F0S2A Ji
8541 656 2879 M (\)].)[14 12 0]xS
8542 1275 156 M (Here we assume that the weakest precondition is always)[30 23 14 23 12 29 23 12 23 20 20 23 36 23 12 12 23 23 12 12 12 23 23 13 29 23 23 21 23 20 12 13
8543 23 14 23 21 23 23 23 10 12 10 23 23 13 10 20 13 23 10 29 23 21 0]xS
8544 1275 207 M (satisfied, that is, G)[20 23 12 10 20 13 10 23 23 12 26 12 23 23 12 26 10 20 12 26 0]xS
8545 450 VM?
8546 T32RsrcBegin
8547
8548 3
8549 /Gde [41 0 2 -21 40 0 ]
8550 /Gde [38 21 true [1 0 0 1 -2 21 ] 0 0]
8551 [<~!!!",z0E;(Q!#P\9!!!E-s8W,u!<<*!rr<$!!!.TM!!!#WzDu]k<!&srY!!!u=
8552 !!!!YzDu]k<!5JR7!!.WMs8W*!s8W,uz)uos=!#P\9!!"\Q!!!",!!~>
8553 ]
8554 /TT1A2b00 AddT3T32Char
8555 T32RsrcEnd
8556 F8S29 Ji
8557 1664 207 M <03>S
8558 F0S2A Ji
8559 1705 207 M (wp\(q,G,q\222\). Otherwise, we will)[29 23 14 23 12 33 12 23 9 14 12 26 26 33 12 23 23 14 29 10 20 23 12 27 29 23 27 29 10 10 0]xS
8560 1275 255 M (modify the preemptive condition as)[36 23 23 10 13 21 12 12 23 23 12 23 14 23 23 36 23 12 10 23 23 12 21 23 23 23 10 12 10 23 23 12
8561 23 0]xS
8562 1425 362 M (pc\(q,G,q'\)=[T\(G)[23 21 14 23 12 33 12 23 8 14 25 12 26 14 0]xS
8563 F4S2A Ji
8564 1718 362 M <D9>S
8565 F0S2A Ji
8566 1744 362 M (wp\(q,G,q'\)\)>T\()[29 23 14 23 12 33 12 23 8 14 14 25 26 0]xS
8567 F4S2A Ji
8568 2014 362 M <D8>S
8569 F0S2A Ji
8570 2044 362 M (I)S
8571 F0S1F Ji
8572 2056 368 M (q)S
8573 F0S2A Ji
8574 2073 362 M (\)].)[14 12 0]xS
8575 1275 462 M (Using this preemptive condition, we can split the)[30 20 10 23 23 33 12 23 10 20 34 23 14 23 23 36 23 12 10 23 23 34 21 23 23 23 10 12 10 23 23 12
8576 34 29 23 34 21 23 23 34 20 23 10 10 12 34 12 23 0]xS
8577 1275 510 M (configuration q into two sub-configurations: good con-)[21 23 23 13 10 23 23 14 23 12 10 23 23 18 23 18 10 23 12 23 18 12 29 23 18 20 23 23 14 21 23 23
8578 13 10 23 23 14 23 12 10 23 23 20 12 18 19 23 23 23 23 19 21 23 23 0]xS
8579 1275 567 M (figuration q)[13 10 23 23 14 23 12 10 23 23 13 0]xS
8580 F0S1F Ji
8581 1485 573 M (g)S
8582 F0S2A Ji
8583 1502 567 M ( and bad configuration q)[13 23 23 23 13 23 23 23 14 21 23 23 13 10 23 23 14 23 12 10 23 23 14 0]xS
8584 F0S1F Ji
8585 1958 573 M (b)S
8586 F0S2A Ji
8587 1975 567 M ( by partitioning the)[14 23 21 14 23 23 14 12 10 12 10 23 23 10 23 23 14 12 23 0]xS
8588 1275 626 M (invariant I)[10 23 23 23 14 10 23 23 12 12 0]xS
8589 F0S1F Ji
8590 1460 632 M (q)S
8591 F0S2A Ji
8592 1477 626 M ( as)[12 23 0]xS
8593 1425 735 M (I)S
8594 F0S1F Ji
8595 1437 741 M (qg)[17 0]xS
8596 F0S2A Ji
8597 1471 735 M (=I)[25 0]xS
8598 F0S1F Ji
8599 1508 741 M (q)S
8600 F4S2A Ji
8601 1525 735 M <D9>S
8602 F0S2A Ji
8603 1551 735 M (pc\(q,G,q'\))[23 21 14 23 12 33 12 23 8 0]xS
8604 1425 794 M (I)S
8605 F0S1F Ji
8606 1437 800 M (qb)[17 0]xS
8607 F0S2A Ji
8608 1471 794 M (=I)[25 0]xS
8609 F0S1F Ji
8610 1508 800 M (q)S
8611 F4S2A Ji
8612 1525 794 M <D9>S
8613 1551 794 M <D8>S
8614 F0S2A Ji
8615 1581 794 M (pc\(q,G,q'\).)[23 21 14 23 12 33 12 23 8 14 0]xS
8616 1275 894 M (Clearly, the dynamics of and the transitions leaving and)[30 10 23 23 14 10 21 12 14 12 23 23 14 23 21 23 23 36 10 21 20 14 23 13 14 23 23 23 14 12 23 23
8617 15 12 14 23 23 20 10 12 10 23 23 20 15 10 23 23 23 10 23 23 15 23 23 0]xS
8618 1275 951 M (entering the configurations q)[23 23 12 23 14 10 23 23 12 12 23 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 0]xS
8619 F0S1F Ji
8620 1804 957 M (g)S
8621 F0S2A Ji
8622 1821 951 M ( and q)[12 23 23 23 13 0]xS
8623 F0S1F Ji
8624 1938 957 M (b)S
8625 F0S2A Ji
8626 1955 951 M ( are the same for q,)[13 23 14 23 13 12 23 23 13 20 23 36 23 13 13 23 14 13 23 0]xS
8627 1275 1001 M (except that the transition \(q,G,q'\) is now impossible.)[23 22 21 23 23 12 12 12 23 23 12 12 12 23 23 12 12 14 23 23 20 10 12 10 23 23 12 14 23 12 33 12
8628 23 8 14 12 10 20 12 23 23 29 12 10 36 23 23 20 20 10 23 10 23 0]xS
8629 1275 1099 M (If there is more than one illegal dynamic transition at q,)[12 13 14 12 23 23 14 23 14 10 20 15 36 23 14 23 15 12 23 23 23 15 23 23 23 15 10 10 10 23 23 23
8630 10 15 23 21 23 23 36 10 21 15 12 14 23 23 20 10 12 10 23 23 15 23 12 15 23 0]xS
8631 1275 1156 M (then we will split q into q)[12 23 23 23 12 29 23 12 29 10 10 10 12 20 23 10 10 12 12 23 12 10 23 12 23 12 0]xS
8632 F0S1F Ji
8633 1728 1162 M (b)S
8634 F0S2A Ji
8635 1745 1156 M ( and I)[12 23 23 23 12 0]xS
8636 F0S1F Ji
8637 1850 1162 M (q)S
8638 F0S2A Ji
8639 1867 1156 M ( as follows.)[12 23 20 12 13 23 10 10 23 29 20 0]xS
8640 1425 1267 M (I)S
8641 F0S1F Ji
8642 1437 1273 M (qg)[17 0]xS
8643 F0S2A Ji
8644 1471 1267 M (=I)[25 0]xS
8645 F0S1F Ji
8646 1508 1273 M (q)S
8647 F4S2A Ji
8648 1525 1267 M <D9>S
8649 F0S2A Ji
8650 1551 1267 M (\()S
8651 F4S2A Ji
8652 1565 1267 M <D9>S
8653 F0S1F Ji
8654 1591 1273 M (\(q,G,q\))[10 17 9 24 9 17 0]xS
8655 /F4S1F F4 [31 0 0 -31 0 0 ] mFS
8656 F4S1F Ji
8657 1687 1273 M <CE>S
8658 F0S1F Ji
8659 1709 1273 M ( DT\(q,Qb\))[9 22 19 10 17 9 24 17 0]xS
8660 F0S2A Ji
8661 1846 1267 M ( pc\(q,G,q'\)\))[12 23 21 14 23 12 33 12 23 8 14 0]xS
8662 1425 1328 M (I)S
8663 F0S1F Ji
8664 1437 1334 M (qb)[17 0]xS
8665 F0S2A Ji
8666 1471 1328 M (=I)[25 0]xS
8667 F0S1F Ji
8668 1508 1334 M (q)S
8669 F4S2A Ji
8670 1525 1328 M <D9>S
8671 1551 1328 M <D8>S
8672 F0S2A Ji
8673 1581 1328 M (\()S
8674 F4S2A Ji
8675 1595 1328 M <D9>S
8676 F0S1F Ji
8677 1621 1334 M (\(q,G,q\))[10 17 9 24 9 17 0]xS
8678 F4S1F Ji
8679 1717 1334 M <CE>S
8680 F0S1F Ji
8681 1739 1334 M ( DT\(q,Qb\))[9 22 19 10 17 9 24 17 0]xS
8682 F0S2A Ji
8683 1876 1328 M ( pc\(q,G,q'\)\).)[12 23 21 14 23 12 33 12 23 8 14 14 0]xS
8684 1275 1428 M (From the above discussion, we can now formally)[26 14 23 36 32 12 23 23 32 23 23 23 23 23 33 23 10 20 21 23 20 20 10 23 23 12 33 29 23 33 21 23
8685 23 33 23 23 29 33 13 23 14 36 23 10 10 0]xS
8686 1275 1476 M (describe our reachability algorithm.)[23 23 20 21 14 10 23 23 12 23 23 14 12 14 23 23 21 23 23 23 10 10 10 12 21 12 23 10 23 23 14 10
8687 12 23 36 0]xS
8688 1275 1672 M (REACHABILITY ALGORITHM)[30 28 28 30 30 28 28 12 23 12 26 28 12 28 23 33 33 30 12 26 30 0]xS
8689 /F0S32 F0 [50 0 0 -50 0 0 ] mFS
8690 F0S32 Ji
8691 1275 1779 M (Input)[14 28 28 28 0]xS
8692 : N 1275 1784 111 4 rp C
8693 L ; F4S2A Ji
8694 1350 1882 M <B7>S
8695 F0S2A Ji
8696 1369 1882 M (The model of the system)[26 23 23 12 36 23 23 23 10 12 23 13 12 12 23 23 12 20 21 20 12 23 0]xS
8697 1500 1983 M (CHM=\(Q,)[30 30 35 25 14 33 0]xS
8698 F4S2A Ji
8699 1679 1983 M (S)S
8700 F0S2A Ji
8701 1705 1983 M (, D, I, E, \(q)[12 12 30 12 12 12 12 12 28 12 12 14 0]xS
8702 F0S1B Ji
8703 1908 1989 M (0)S
8704 F0S2A Ji
8705 1923 1983 M (, x)[12 12 0]xS
8706 F0S1B Ji
8707 1969 1989 M (0)S
8708 F0S2A Ji
8709 1984 1983 M (\)\).)[14 14 0]xS
8710 F4S2A Ji
8711 1350 2084 M <B7>S
8712 F0S2A Ji
8713 1369 2084 M (The set of illegal configuration)[26 23 23 12 20 23 12 12 23 13 12 10 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 0]xS
8714 1500 2191 M (Q)S
8715 F0S1F Ji
8716 1533 2197 M (b)S
8717 F4S2A Ji
8718 1550 2191 M <CD>S
8719 F0S2A Ji
8720 1581 2191 M (Q.)[33 0]xS
8721 F0S32 Ji
8722 1275 2300 M (Output)[39 28 14 28 28 0]xS
8723 : N 1275 2305 150 4 rp C
8724 L ; F4S2A Ji
8725 1350 2409 M <B7>S
8726 F0S2A Ji
8727 1369 2409 M (The set of good invariants I)[26 23 23 12 20 23 12 12 23 13 12 23 23 23 23 12 10 23 23 23 14 10 23 23 12 20 12 0]xS
8728 F0S1F Ji
8729 1877 2415 M (qg)[17 0]xS
8730 F0S2A Ji
8731 1500 2518 M (GI={ I)[33 12 25 14 12 0]xS
8732 F0S1F Ji
8733 1608 2524 M (qg)[17 0]xS
8734 F0S2A Ji
8735 1642 2518 M (: q)[12 12 0]xS
8736 F4S2A Ji
8737 1689 2518 M <CE>S
8738 F0S2A Ji
8739 1718 2518 M (Q}.)[33 14 0]xS
8740 F0S32 Ji
8741 1275 2627 M (Execution)[33 24 28 25 28 14 12 28 0]xS
8742 : N 1275 2632 219 4 rp C
8743 L ; 1388 2736 M (Initialization)[14 28 12 14 12 28 12 12 25 28 14 12 28 0]xS
8744 : N 1388 2741 266 4 rp C
8745 L ; F0S2A Ji
8746 1402 2845 M (1.)[23 0]xS
8747 1463 2845 M (P:={ q)[28 12 25 14 12 0]xS
8748 F0S1F Ji
8749 1577 2851 M (g)S
8750 F0S2A Ji
8751 1594 2845 M (: q)[12 12 0]xS
8752 F4S2A Ji
8753 1641 2845 M <CE>S
8754 F0S2A Ji
8755 1670 2845 M (Q};)[33 14 0]xS
8756 1402 2948 M (2.)[23 0]xS
8757 1463 2948 M (R:={ q)[30 12 25 14 12 0]xS
8758 /F5S2A F5 [42 0 0 -42 0 0 ] mFS
8759 F5S2A Ji
8760 1579 2948 M (b)S
8761 F0S2A Ji
8762 1599 2948 M (: q)[12 12 0]xS
8763 F4S2A Ji
8764 1646 2948 M <CE>S
8765 F0S2A Ji
8766 1675 2948 M (Q};)[33 14 0]xS
8767 1402 3050 M (3.)[23 0]xS
8768 1463 3050 M (For all q)[26 23 14 12 23 10 10 12 0]xS
8769 F4S2A Ji
8770 1616 3050 M <CE>S
8771 F0S2A Ji
8772 1645 3050 M (Q-Q)[33 14 0]xS
8773 F5S2A Ji
8774 1725 3050 M (b)S
8775 F0S2A Ji
8776 1745 3050 M ( do)[12 23 0]xS
8777 LH
8778 (%%[Page: 12]%%) =
8779 %%PageTrailer
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8781 %%Page: 13 13
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8788
8789 0 0 0 1 scol 1185 3158 M (1)S
8790 1208 3158 M (3)S
8791 300 157 M (I)S
8792 F5S2A Ji
8793 312 157 M (qg)[21 0]xS
8794 F0S2A Ji
8795 354 157 M (:=I)[12 25 0]xS
8796 F5S2A Ji
8797 403 157 M (q)S
8798 F0S2A Ji
8799 424 157 M (;)S
8800 300 257 M (I)S
8801 F5S2A Ji
8802 312 257 M (qb)[21 0]xS
8803 F0S2A Ji
8804 353 257 M (:=false;)[12 25 13 23 10 20 23 0]xS
8805 202 359 M (4.)[23 0]xS
8806 263 359 M (For all q)[26 23 14 12 23 10 10 12 0]xS
8807 F4S2A Ji
8808 416 359 M <CE>S
8809 F0S2A Ji
8810 445 359 M (Q)S
8811 F5S2A Ji
8812 478 359 M (b)S
8813 F0S2A Ji
8814 498 359 M ( do)[12 23 0]xS
8815 300 459 M (I)S
8816 F5S2A Ji
8817 312 459 M (qg)[21 0]xS
8818 F0S2A Ji
8819 354 459 M (:=false;)[12 25 13 23 10 20 23 0]xS
8820 300 559 M (I)S
8821 F5S2A Ji
8822 312 559 M (qb)[21 0]xS
8823 F0S2A Ji
8824 353 559 M (:= I)[12 25 12 0]xS
8825 F5S2A Ji
8826 414 559 M (q)S
8827 F0S2A Ji
8828 435 559 M (;)S
8829 202 658 M (5.)[23 0]xS
8830 263 658 M (Stop:=true;)[28 12 23 23 12 25 12 14 23 23 0]xS
8831 F0S32 Ji
8832 188 765 M (Iteration)[14 14 28 17 28 14 12 28 0]xS
8833 : N 188 770 182 4 rp C
8834 L ; F0S2A Ji
8835 202 868 M (6.)[23 0]xS
8836 263 868 M (For all q such that I)[26 23 14 12 23 10 10 12 23 12 20 23 21 23 12 12 23 23 12 12 0]xS
8837 F5S2A Ji
8838 621 868 M (qg)[21 0]xS
8839 F4S2A Ji
8840 663 868 M <B9>S
8841 F0S2A Ji
8842 687 868 M (false do)[13 23 10 20 23 12 23 0]xS
8843 300 970 M (H:=)[30 12 0]xS
8844 F4S2A Ji
8845 367 970 M <D9>S
8846 F5S2A Ji
8847 393 970 M (\(q,G,q\222\))[14 21 11 30 11 21 14 0]xS
8848 F4S2A Ji
8849 529 970 M <CE>S
8850 F5S2A Ji
8851 558 970 M ( DT\(q,R\))[11 30 26 14 21 11 27 0]xS
8852 F0S2A Ji
8853 712 970 M ( pc\(q,G,q\222\);)[12 23 21 14 23 12 33 12 23 9 14 0]xS
8854 300 1072 M (If I)[12 13 12 0]xS
8855 F5S2A Ji
8856 349 1072 M (qg)[21 0]xS
8857 F4S2A Ji
8858 391 1072 M <B9>S
8859 F0S2A Ji
8860 415 1072 M (I)S
8861 F5S2A Ji
8862 427 1072 M (q)S
8863 F4S2A Ji
8864 448 1072 M <D9>S
8865 F0S2A Ji
8866 474 1072 M (H then)[30 12 12 23 23 0]xS
8867 338 1174 M (I)S
8868 F5S2A Ji
8869 350 1174 M (qg:)[21 21 0]xS
8870 F0S2A Ji
8871 404 1174 M (=I)[25 0]xS
8872 F5S2A Ji
8873 441 1174 M (q)S
8874 F4S2A Ji
8875 462 1174 M <D9>S
8876 F0S2A Ji
8877 488 1174 M (H;)[30 0]xS
8878 338 1276 M (I)S
8879 F5S2A Ji
8880 350 1276 M (qb:)[21 20 0]xS
8881 F0S2A Ji
8882 403 1276 M (=I)[25 0]xS
8883 F5S2A Ji
8884 440 1276 M (q)S
8885 F4S2A Ji
8886 461 1276 M <D9>S
8887 487 1276 M <D8>S
8888 F0S2A Ji
8889 517 1276 M (H;)[30 0]xS
8890 338 1375 M (Stop:=false;)[28 12 23 23 12 25 13 23 10 20 23 0]xS
8891 202 1473 M (7.)[23 0]xS
8892 263 1473 M (If Stop=true, then go to 10;)[12 13 12 28 12 23 23 25 12 14 23 23 12 12 12 23 23 23 12 23 23 12 12 23 12 23 23 0]xS
8893 202 1571 M (8.)[23 0]xS
8894 263 1571 M (Stop:=true;)[28 12 23 23 12 25 12 14 23 23 0]xS
8895 202 1669 M (9.)[23 0]xS
8896 263 1669 M (Go to 6;)[33 23 12 12 23 12 23 0]xS
8897 188 1767 M (10.)[23 23 0]xS
8898 263 1767 M (End.)[28 23 23 0]xS
8899 75 1865 M (This algorithm takes the CHM model of the system and)[26 23 10 20 15 23 10 23 23 14 10 12 23 36 15 12 23 21 23 20 15 12 23 23 15 30 30 35 15 36 23 23
8900 23 10 15 23 13 15 12 23 23 15 20 21 20 12 23 36 15 23 23 0]xS
8901 75 1921 M (the set of illegal configurations Q)[12 23 23 13 20 23 12 13 23 13 13 10 10 10 23 23 23 10 13 21 23 23 13 10 23 23 14 23 12 10 23 23
8902 20 14 0]xS
8903 F5S1F Ji
8904 693 1927 M (b)S
8905 F0S2A Ji
8906 708 1921 M ( as inputs. Both CHM)[14 23 20 14 10 23 23 23 12 20 12 14 14 28 23 12 23 14 30 30 0]xS
8907 75 1980 M (and Q)[23 23 23 12 0]xS
8908 F5S1F Ji
8909 189 1986 M (b)S
8910 F0S2A Ji
8911 204 1980 M ( can be obtained automatically from the EHMs as)[12 21 23 23 12 23 23 12 23 23 12 23 10 23 23 23 13 23 23 12 23 36 23 12 10 21 23 10 10 21 13 13
8912 14 23 36 13 12 23 23 13 28 30 35 20 13 23 0]xS
8913 75 2031 M (described in the previous section. The algorithm first)[23 23 20 21 14 10 23 23 23 20 10 23 20 12 23 23 20 23 14 23 23 10 23 23 20 20 20 23 21 12 10 23
8914 23 12 20 20 26 23 23 20 23 10 23 23 14 10 12 23 36 21 13 10 14 20 0]xS
8915 75 2079 M (makes two copies q)[36 23 21 23 20 14 12 29 23 14 21 23 23 10 23 20 14 0]xS
8916 F0S1B Ji
8917 447 2085 M (g)S
8918 F0S2A Ji
8919 462 2079 M ( and q)[14 23 23 23 14 0]xS
8920 F0S1B Ji
8921 582 2085 M (b)S
8922 F0S2A Ji
8923 597 2079 M ( for each configuration q. It)[14 13 23 14 14 23 23 21 23 15 21 23 23 13 10 23 23 14 23 12 10 23 23 15 23 12 15 15 12 0]xS
8924 75 2135 M (then repeatedly partitions the invariant I)[12 23 23 23 28 14 23 23 23 23 12 23 23 10 21 28 23 23 14 12 10 12 10 23 23 20 28 12 23 23 28 10
8925 23 23 23 14 10 23 23 12 28 0]xS
8926 F5S1F Ji
8927 892 2141 M (q)S
8928 F0S2A Ji
8929 907 2135 M ( into )[29 10 23 12 23 0]xS
8930 F2S2A Ji
8931 1033 2135 M (good)[23 23 23 0]xS
8932 F0S2A Ji
8933 75 2194 M (invariant I)[10 23 23 23 14 10 23 23 12 16 0]xS
8934 F5S1F Ji
8935 264 2200 M (qg)[15 0]xS
8936 F0S2A Ji
8937 294 2194 M ( and )[16 23 23 23 0]xS
8938 F2S2A Ji
8939 395 2194 M (bad)[23 23 0]xS
8940 F0S2A Ji
8941 464 2194 M ( invariant I)[16 10 23 23 23 14 10 23 23 12 16 0]xS
8942 F5S1F Ji
8943 669 2200 M (qb)[15 0]xS
8944 F0S2A Ji
8945 699 2194 M (. The initial partition is)[12 16 26 23 23 16 10 23 10 12 10 23 10 16 23 23 14 12 10 12 10 23 23 16 10 0]xS
8946 75 2245 M (straightforward. Subsequent partitions require the)[20 12 14 23 10 23 23 12 13 23 14 29 23 14 23 12 45 28 23 23 20 23 23 23 23 23 12 46 23 23 14 12
8947 10 12 10 23 23 20 46 14 23 23 23 10 14 23 46 12 23 0]xS
8948 75 2293 M (computation of preemptive conditions. The output of the)[21 23 36 23 23 12 23 12 10 23 23 13 23 13 13 23 14 23 23 36 23 12 10 23 23 13 21 23 23 23 10 12
8949 10 23 23 20 12 13 26 23 23 13 23 23 12 23 23 12 14 23 13 14 12 23 0]xS
8950 75 2350 M (algorithm is the set of good invariants GI={ I)[23 10 23 23 14 10 12 23 36 12 10 20 12 12 23 23 12 20 23 12 12 23 13 12 23 23 23 23 12 10 23 23
8951 23 14 10 23 23 12 20 12 33 12 25 14 12 0]xS
8952 F0S1F Ji
8953 893 2356 M (qg)[17 0]xS
8954 F0S2A Ji
8955 927 2350 M (: q)[12 12 0]xS
8956 F4S2A Ji
8957 974 2350 M <CE>S
8958 F0S2A Ji
8959 1003 2350 M (Q}.)[33 14 0]xS
8960 75 2459 M (Various information can be derived from GI={I)[28 23 14 10 23 23 20 15 10 23 13 23 14 36 23 12 10 23 23 15 21 23 23 15 23 23 15 23 23 14 10 23
8961 23 23 16 13 14 23 36 16 33 12 25 14 0]xS
8962 F0S1F Ji
8963 952 2465 M (qg)[17 0]xS
8964 F0S2A Ji
8965 986 2459 M (: q)[12 16 0]xS
8966 F4S2A Ji
8967 1037 2459 M <CE>S
8968 F0S2A Ji
8969 1066 2459 M (Q}.)[33 14 0]xS
8970 75 2509 M (For example, interrupt latency requirements will not be)[26 23 14 17 23 22 23 36 23 10 23 12 17 10 23 12 23 14 14 23 23 12 17 10 23 12 23 23 21 21 17 14
8971 23 23 23 10 14 23 36 23 23 12 20 17 29 10 10 10 18 23 23 12 18 23 0]xS
8972 75 2557 M (violated if and only if for the given intial condition \(q)[23 10 23 10 23 12 23 23 18 10 13 18 23 23 23 18 23 23 10 21 18 10 13 18 13 23 14 18 12 23 23 18
8973 23 10 23 23 23 18 10 23 12 10 23 10 18 21 23 23 23 10 12 10 23 23 19 14 0]xS
8974 F0S1B Ji
8975 1098 2563 M (0)S
8976 F0S2A Ji
8977 1113 2557 M (,)S
8978 75 2613 M (x)S
8979 F0S1B Ji
8980 97 2619 M (0)S
8981 F0S2A Ji
8982 112 2613 M (\), the good invariant at the initial configuration I)[14 12 17 12 23 23 17 23 23 23 23 17 10 23 23 23 14 10 23 23 12 17 23 12 17 12 23 23 17 10 23 10
8983 12 10 23 10 18 21 23 23 13 10 23 23 14 23 12 10 23 23 18 0]xS
8984 F5S1F Ji
8985 1031 2619 M (q0g)[15 16 0]xS
8986 F0S2A Ji
8987 1077 2613 M ( is)[18 10 0]xS
8988 75 2664 M (satisfied by x)[20 23 12 10 20 13 10 23 23 12 23 21 12 0]xS
8989 F0S1B Ji
8990 319 2670 M (0)S
8991 F0S2A Ji
8992 334 2664 M (, that is,)[12 12 12 23 23 12 12 10 20 0]xS
8993 225 2770 M (I)S
8994 F5S1F Ji
8995 237 2776 M (q0g)[15 16 0]xS
8996 F4S2A Ji
8997 283 2770 M <BD>S
8998 F5S1F Ji
8999 308 2776 M (x= x0)[15 17 8 15 0]xS
9000 F0S2A Ji
9001 379 2770 M (=true.)[25 12 14 23 23 0]xS
9002 F1S2A Ji
9003 1275 157 M (EXAMPLE: HYBRID SYSTEM MODEL OF)[28 28 29 35 28 26 28 14 12 12 30 28 30 30 12 30 12 28 28 28 27 28 35 12 35 33 30 28 26 12 33 0]xS
9004 1275 207 M (MICROPROCESSOR SYSTEM WITH REACHABILITY)[35 12 30 30 33 28 30 33 30 28 28 28 33 30 12 28 28 28 27 28 35 12 39 12 27 30 12 30 28 29 30 30
9005 29 30 12 26 12 27 0]xS
9006 1275 257 M (SOLUTION)[28 33 26 30 27 12 33 0]xS
9007 F0S2A Ji
9008 1275 356 M (To illustrate our approach, we consider a small example.)[26 23 12 10 10 10 23 20 12 14 23 12 23 12 23 23 14 12 23 23 23 14 23 23 21 23 12 12 29 23 12 21
9009 23 23 20 10 23 23 14 12 23 12 20 36 23 10 10 12 23 22 23 36 23 10 23 0]xS
9010 1275 405 M (The system consists of two sources of interrupts, IS)[26 23 23 12 20 21 20 12 23 36 12 21 23 23 20 10 20 12 20 12 23 13 12 12 29 23 12 20 23 23 14 21
9011 23 20 12 23 13 12 10 23 12 23 14 14 23 23 12 20 12 12 12 0]xS
9012 /F5S1B F5 [27 0 0 -27 0 0 ] mFS
9013 F5S1B Ji
9014 2230 411 M (1)S
9015 F0S2A Ji
9016 2244 405 M ( and)[12 23 23 0]xS
9017 1275 455 M (IS)[12 0]xS
9018 F5S1B Ji
9019 1315 461 M (2)S
9020 F0S2A Ji
9021 1329 455 M (. Both request interrupt service periodically, with)[12 29 28 23 12 23 29 14 23 23 23 23 20 12 29 10 23 12 23 14 14 23 23 12 29 20 23 14 23 10 21 23
9022 29 23 23 14 10 23 23 10 21 23 10 10 21 12 30 29 10 12 0]xS
9023 1275 505 M (periods T)[23 23 14 10 23 23 20 26 0]xS
9024 F5S1B Ji
9025 1463 511 M (1)S
9026 F0S2A Ji
9027 1477 505 M ( and T)[26 23 23 23 26 0]xS
9028 F5S1B Ji
9029 1624 511 M (2)S
9030 F0S2A Ji
9031 1638 505 M (, respectively. The corresponding)[12 26 14 23 20 23 23 21 12 10 23 23 10 21 12 26 26 26 23 23 27 21 23 14 14 23 20 23 23 23 23 10
9032 23 0]xS
9033 1275 555 M (interrupt service routines ISR)[10 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 20 12 12 28 0]xS
9034 F5S1B Ji
9035 1817 561 M (1)S
9036 F0S2A Ji
9037 1831 555 M ( and ISR)[13 23 23 23 13 12 28 0]xS
9038 F5S1B Ji
9039 1996 561 M (2)S
9040 F0S2A Ji
9041 2010 555 M ( are executed on)[13 23 14 23 13 23 22 23 21 23 12 23 23 13 23 0]xS
9042 1275 605 M (the same CPU, with priority given to IS)[12 23 23 18 20 23 36 23 18 30 28 30 12 18 29 10 12 23 18 23 14 10 23 14 10 12 21 19 23 10 23 23
9043 23 19 12 23 19 12 0]xS
9044 F5S1B Ji
9045 2042 611 M (1)S
9046 F0S2A Ji
9047 2056 605 M (. It takes the)[12 19 19 12 12 19 12 23 21 23 20 19 12 23 0]xS
9048 1275 655 M (CPU C)[30 28 30 16 0]xS
9049 F5S1B Ji
9050 1409 661 M (1)S
9051 F0S2A Ji
9052 1423 655 M ( and C)[16 23 23 23 16 0]xS
9053 F5S1B Ji
9054 1554 661 M (2)S
9055 F0S2A Ji
9056 1568 655 M ( units of time to execute ISR)[16 23 23 10 12 20 16 23 13 16 12 10 36 23 17 12 23 17 23 22 23 21 23 12 23 17 12 28 0]xS
9057 F5S1B Ji
9058 2124 661 M (1)S
9059 F0S2A Ji
9060 2138 655 M ( and ISR)[17 23 23 23 17 12 28 0]xS
9061 F5S1B Ji
9062 2311 661 M (2)S
9063 F0S2A Ji
9064 1275 704 M (respectively. We assume that both ISRs are atomic.)[14 23 20 23 23 21 12 10 23 23 10 21 12 20 21 42 23 21 23 20 20 23 36 23 21 12 23 23 12 21 23 23
9065 12 23 21 12 28 30 20 21 23 14 23 21 23 12 23 36 10 21 0]xS
9066 1275 752 M (The interrupt latencies cannot exceed the deadlines)[26 23 23 27 10 23 12 23 14 14 23 23 12 27 10 23 12 23 23 21 10 23 20 27 21 23 23 23 23 12 27 23
9067 22 21 23 23 23 27 12 23 23 28 23 23 23 23 10 10 23 23 0]xS
9068 1275 801 M (d)S
9069 F5S1B Ji
9070 1298 807 M (1)S
9071 F0S2A Ji
9072 1312 801 M (=T)[25 0]xS
9073 F5S1B Ji
9074 1363 807 M (1)S
9075 F0S2A Ji
9076 1377 801 M (-C)[14 0]xS
9077 F5S1B Ji
9078 1421 807 M (1)S
9079 F0S2A Ji
9080 1435 801 M ( and d)[14 23 23 23 14 0]xS
9081 F5S1B Ji
9082 1555 807 M (2)S
9083 F0S2A Ji
9084 1569 801 M (=T)[25 0]xS
9085 F5S1B Ji
9086 1620 807 M (2)S
9087 F0S2A Ji
9088 1634 801 M (-C)[14 0]xS
9089 F5S1B Ji
9090 1678 807 M (2)S
9091 F0S2A Ji
9092 1692 801 M ( respectively. In other words, the)[14 14 23 20 23 23 21 12 10 23 23 10 21 12 15 15 12 23 15 23 12 23 23 14 15 29 23 14 23 20 12 15
9093 12 23 0]xS
9094 1275 850 M (interrupt service routines must be completed before the)[10 23 12 23 14 14 23 23 12 15 20 23 14 23 10 21 23 15 14 23 23 12 10 23 23 20 15 36 23 20 12 15
9095 23 23 15 21 23 36 23 10 23 12 23 23 15 23 23 13 23 14 23 16 12 23 0]xS
9096 1275 898 M (next period. We will show how this problem can be)[23 23 22 12 21 23 23 14 10 23 23 12 21 22 42 23 22 29 10 10 10 22 20 23 23 29 22 23 23 29 22 12
9097 23 10 20 22 23 14 23 23 10 23 36 22 21 23 23 22 23 0]xS
9098 1275 946 M (solved using our approach.)[20 23 10 23 23 23 12 23 20 10 23 23 12 23 23 14 12 23 23 23 14 23 23 21 23 0]xS
9099 1275 1045 M (To model the interrupt sources IS)[26 23 21 36 23 23 23 10 21 12 23 23 21 10 23 12 23 14 14 23 23 12 21 20 23 23 14 21 23 20 21 12
9100 0]xS
9101 F5S1B Ji
9102 1940 1051 M (i)S
9103 F0S2A Ji
9104 1947 1045 M (, i=1,2, we use the)[12 21 10 25 23 12 23 12 21 29 23 21 23 20 23 22 12 23 0]xS
9105 1275 1095 M (EHM)[28 30 0]xS
9106 F5S1B Ji
9107 1368 1101 M (i)S
9108 F0S2A Ji
9109 1375 1095 M ( shown in Figure )[12 20 23 23 29 23 12 10 23 12 26 10 23 23 14 23 0]xS
9110 1693 1095 M (11)[23 0]xS
9111 1739 1095 M (.)S
9112 /F5S23 F5 [35.008 0 0 -35.008 0 0 ] mFS
9113 F5S23 Ji
9114 1762 1741 M ( )S
9115 1770 1741 M (t)S
9116 /F5S14 F5 [20.422 0 0 -20.422 0 0 ] mFS
9117 F5S14 Ji
9118 1779 1750 M (i)S
9119 F5S23 Ji
9120 1784 1741 M <92>S
9121 1796 1741 M (=)S
9122 1816 1741 M (1)S
9123 1762 1776 M ( )S
9124 1770 1776 M ([)S
9125 1782 1776 M (t)S
9126 F5S14 Ji
9127 1790 1785 M (i)S
9128 F5S23 Ji
9129 1796 1776 M (<)S
9130 1816 1776 M (d)S
9131 F5S14 Ji
9132 1833 1785 M (i)S
9133 F5S23 Ji
9134 1838 1776 M (])S
9135 1745 2147 M ( )S
9136 1753 2147 M (t)S
9137 F5S14 Ji
9138 1762 2156 M (i)S
9139 F5S23 Ji
9140 1767 2147 M <92>S
9141 1779 2147 M (=)S
9142 1799 2147 M (1)S
9143 1745 2182 M ( )S
9144 1753 2182 M ([)S
9145 1765 2182 M (t)S
9146 F5S14 Ji
9147 1773 2191 M (i)S
9148 F5S23 Ji
9149 1779 2182 M (<)S
9150 1799 2182 M (T)S
9151 F5S14 Ji
9152 1818 2191 M (i)S
9153 F5S23 Ji
9154 1824 2182 M (])S
9155 1765 1356 M ( )S
9156 1773 1356 M (I)S
9157 1784 1356 M (l)S
9158 1793 1356 M (l)S
9159 1801 1356 M (e)S
9160 1816 1356 M (g)S
9161 1833 1356 M (a)S
9162 1847 1356 M (l)S
9163 0 Lj 2 Lc 2 Lw : 1650 1155 338 343 rc N 1929 1201 M 1707 1201 I 1707 1438 I 1929 1438 I C
9164 : 2.832 2.914 +S K
9165 ; ; N 1770 1603 M 1701 1603 I 1701 1671 I 1770 1671 I C
9166 : 2.832 2.914 +S K
9167 ; : 1708 1610 9 34 rc 1708 1636 M ( )S
9168 ; : 1716 1610 25 34 rc 1716 1636 M (A)S
9169 ; F5S14 Ji
9170 1739 1645 M (i)S
9171 N 1762 2009 M 1696 2009 I 1696 2074 I 1762 2074 I C
9172 : 2.832 2.914 +S K
9173 ; : 1702 2016 9 34 rc F5S23 Ji
9174 1702 2042 M ( )S
9175 ; : 1711 2016 23 34 rc F5S23 Ji
9176 1711 2042 M (B)S
9177 ; 1733 2051 M (i)S
9178 : 1650 1155 179 171 rc N 1770 1204 M 1707 1204 I 1707 1266 I 1770 1266 I C
9179 : 2.832 2.914 +S K
9180 ; ; : 1714 1210 9 35 rc F5S23 Ji
9181 1714 1237 M ( )S
9182 ; : 1722 1210 23 35 rc F5S23 Ji
9183 1722 1237 M (C)S
9184 ; 1745 1245 M (i)S
9185 N 1923 1600 M 1701 1600 I 1701 1838 I 1923 1838 I C
9186 : 2.832 2.914 +S K
9187 ; F5S23 Ji
9188 1818 1534 M ( )S
9189 1827 1534 M ([)S
9190 1838 1534 M (t)S
9191 F5S14 Ji
9192 1847 1543 M (i)S
9193 F5S23 Ji
9194 1852 1534 M (>)S
9195 1872 1534 M (d)S
9196 F5S14 Ji
9197 1889 1543 M (i)S
9198 F5S23 Ji
9199 1895 1534 M (])S
9200 1906 1534 M ( )S
9201 1915 1534 M (-)S
9202 1926 1534 M (>)S
9203 1946 1534 M ( )S
9204 1955 1534 M (A)S
9205 F5S14 Ji
9206 1977 1543 M (i)S
9207 F5S23 Ji
9208 1983 1534 M (=)S
9209 2003 1534 M (0)S
9210 1861 1943 M ( )S
9211 1869 1943 M (s)S
9212 1884 1943 M (t)S
9213 1892 1943 M (a)S
9214 1906 1943 M (r)S
9215 1918 1943 M (t)S
9216 F5S14 Ji
9217 1926 1952 M (i)S
9218 F5S23 Ji
9219 1932 1943 M ( )S
9220 1940 1943 M (-)S
9221 1952 1943 M (>)S
9222 1972 1943 M ( )S
9223 1980 1943 M (A)S
9224 F5S14 Ji
9225 2003 1952 M (i)S
9226 F5S23 Ji
9227 2008 1943 M (=)S
9228 2028 1943 M (0)S
9229 N 1869 1946 M 1926 1946 I 1926 1949 I 1869 1949 I 1869 1946 I C
9230 O 1470 1940 M ( )S
9231 1478 1940 M ( )S
9232 1487 1940 M ([)S
9233 1498 1940 M (t)S
9234 F5S14 Ji
9235 1507 1949 M (i)S
9236 F5S23 Ji
9237 1512 1940 M (>)S
9238 1532 1940 M (T)S
9239 F5S14 Ji
9240 1552 1949 M (i)S
9241 F5S23 Ji
9242 1558 1940 M (])S
9243 1569 1940 M ( )S
9244 1577 1940 M (-)S
9245 1589 1940 M (>)S
9246 1609 1940 M ( )S
9247 1617 1940 M (t)S
9248 F5S14 Ji
9249 1626 1949 M (i)S
9250 F5S23 Ji
9251 1631 1940 M (=)S
9252 1651 1940 M (0)S
9253 1668 1940 M (,)S
9254 1680 1940 M ( )S
9255 1688 1940 M (A)S
9256 F5S14 Ji
9257 1711 1949 M (i)S
9258 F5S23 Ji
9259 1716 1940 M (=)S
9260 1736 1940 M (1)S
9261 1 Lw N 1813 1598 M 1813 1447 I : 2.832 2.914 +S K
9262 ; N 1807 1450 M 1818 1450 I 1813 1438 I 1807 1450 I C
9263 O N 1807 1450 M 1818 1450 I : 2.832 2.914 +S K
9264 ; N 1818 1450 M 1813 1438 I : 2.832 2.914 +S K
9265 ; N 1813 1438 M 1807 1450 I : 2.832 2.914 +S K
9266 ; 2 Lw : 1639 1951 338 336 rc N 1918 2009 M 1696 2009 I 1696 2246 I 1918 2246 I C
9267 : 2.832 2.914 +S K
9268 ; ; 1 Lw N 1770 1998 M 1770 1846 I : 2.832 2.914 +S K
9269 ; N 1765 1849 M 1776 1849 I 1770 1838 I 1765 1849 I C
9270 O N 1765 1849 M 1776 1849 I : 2.832 2.914 +S K
9271 ; N 1776 1849 M 1770 1838 I : 2.832 2.914 +S K
9272 ; N 1770 1838 M 1765 1849 I : 2.832 2.914 +S K
9273 ; N 1855 1844 M 1855 1995 I : 2.832 2.914 +S K
9274 ; N 1861 1995 M 1850 1995 I 1855 2004 I 1861 1995 I C
9275 O N 1861 1995 M 1850 1995 I : 2.832 2.914 +S K
9276 ; N 1850 1995 M 1855 2004 I : 2.832 2.914 +S K
9277 ; N 1855 2004 M 1861 1995 I : 2.832 2.914 +S K
9278 ; N 1634 1715 M 1691 1715 I : 2.832 2.914 +S K
9279 ; N 1691 1709 M 1691 1721 I 1699 1715 I 1691 1709 I C
9280 O N 1691 1709 M 1691 1721 I : 2.832 2.914 +S K
9281 ; N 1691 1721 M 1699 1715 I : 2.832 2.914 +S K
9282 ; N 1699 1715 M 1691 1709 I : 2.832 2.914 +S K
9283 ; F1S2A Ji
9284 1597 2377 M (Figure )[26 12 26 26 16 23 0]xS
9285 1738 2377 M (11)[23 0]xS
9286 1784 2377 M (. ISR)[12 12 12 12 28 0]xS
9287 /F1S1B F1 [27 0 0 -27 0 0 ] mFS
9288 F1S1B Ji
9289 1890 2383 M (i)S
9290 F1S2A Ji
9291 1898 2377 M ( EHM)[12 28 30 0]xS
9292 F0S2A Ji
9293 1275 2477 M (EHM)[28 30 0]xS
9294 F5S1B Ji
9295 1368 2483 M (i)S
9296 F0S2A Ji
9297 1375 2477 M ( has three vertices: in configuration A)[13 23 23 20 13 12 23 14 23 23 13 23 23 14 12 10 21 23 20 12 13 14 10 23 14 21 23 23 13 10 23 23
9298 14 23 12 10 23 23 14 0]xS
9299 F5S1B Ji
9300 2090 2483 M (i)S
9301 F0S2A Ji
9302 2097 2477 M ( an interrupt)[14 23 23 14 10 23 12 23 14 14 23 23 0]xS
9303 1275 2527 M (is pending, and configuration C)[10 20 15 23 23 23 23 10 23 23 12 15 23 23 23 15 21 23 23 13 10 23 23 14 23 12 10 23 23 15 0]xS
9304 F5S1B Ji
9305 1865 2533 M (i)S
9306 F0S2A Ji
9307 1872 2527 M ( is illegal. SV t)[15 10 20 15 10 10 10 23 23 23 10 12 15 15 28 28 16 0]xS
9308 F5S1B Ji
9309 2167 2533 M (i)S
9310 F0S2A Ji
9311 2174 2527 M ( models)[16 36 23 23 23 10 0]xS
9312 1275 2577 M (the clock and SV A)[12 23 23 20 21 10 23 21 21 20 23 23 23 20 28 28 20 0]xS
9313 F5S1B Ji
9314 1662 2583 M (i)S
9315 F0S2A Ji
9316 1669 2577 M ( indicates whether the EHM)[20 10 23 23 10 21 23 12 23 20 20 29 23 23 12 23 23 14 20 12 23 23 21 28 30 0]xS
9317 F5S1B Ji
9318 2213 2583 M (i)S
9319 F0S2A Ji
9320 2220 2577 M ( is in)[21 10 20 21 10 0]xS
9321 1275 2627 M (vertex A)[23 23 14 12 23 22 23 0]xS
9322 F5S1B Ji
9323 1443 2633 M (i)S
9324 F0S32 Ji
9325 1450 2627 M ( )S
9326 F0S2A Ji
9327 1476 2627 M (\(it is the RSSV\). Constant d)[14 10 12 24 10 20 24 12 23 23 24 30 28 28 28 14 12 24 24 30 23 23 20 12 23 23 12 24 0]xS
9328 F5S1B Ji
9329 2073 2633 M (i)S
9330 F0S2A Ji
9331 2080 2627 M (=T)[25 0]xS
9332 F5S1B Ji
9333 2131 2633 M (i)S
9334 F0S2A Ji
9335 2138 2627 M (-C)[14 0]xS
9336 F5S1B Ji
9337 2182 2633 M (i)S
9338 F0S2A Ji
9339 2189 2627 M ( is the)[24 10 20 24 12 23 0]xS
9340 1275 2677 M (deadline for waiting. Event start)[23 23 23 23 10 10 23 23 14 13 23 14 14 29 23 10 12 10 23 23 12 15 15 28 23 23 23 12 15 20 12 23
9341 14 0]xS
9342 F5S1B Ji
9343 1888 2683 M (i)S
9344 F0S2A Ji
9345 1895 2677 M ( represents the start of)[15 14 23 23 14 23 20 23 23 12 20 15 12 23 23 15 20 12 23 14 12 15 23 0]xS
9346 1275 2727 M (the interrupt service routine ISR)[12 23 23 13 10 23 12 23 14 14 23 23 12 13 20 23 14 23 10 21 23 13 14 23 23 12 10 23 23 13 12 28
9347 0]xS
9348 F5S1B Ji
9349 1871 2733 M (i)S
9350 F0S2A Ji
9351 1878 2727 M (. The initial vertex is A)[12 14 14 26 23 23 14 10 23 10 12 10 23 10 14 23 23 14 12 23 22 14 10 20 14 0]xS
9352 F0S1B Ji
9353 2319 2733 M (i)S
9354 F0S2A Ji
9355 1275 2776 M (and is indicated by arrow ->.)[23 23 23 12 10 20 12 10 23 23 10 21 23 12 23 23 12 23 21 12 23 14 14 23 29 12 12 14 25 0]xS
9356 1275 2875 M (The ISRs are modeled by EHM)[26 23 23 12 12 28 30 20 12 23 14 23 12 36 23 23 23 10 23 23 12 23 21 12 28 30 0]xS
9357 F5S1B Ji
9358 1855 2881 M (3)S
9359 F0S2A Ji
9360 1869 2875 M (, shown in Figure )[12 12 20 23 23 29 23 12 10 23 12 26 10 23 23 14 23 0]xS
9361 2199 2875 M (12)[23 0]xS
9362 2245 2875 M (.)S
9363 LH
9364 (%%[Page: 13]%%) =
9365 %%PageTrailer
9366
9367 %%Page: 14 14
9368 %%PageBoundingBox: 18 8 593 784
9369 %%EndPageComments
9370 %%BeginPageSetup
9371 /DeviceRGB dup setcolorspace /colspABC exch def
9372 mysetup concat colspRefresh
9373 %%EndPageSetup
9374
9375 0 0 0 1 scol 1185 3158 M (1)S
9376 1208 3158 M (4)S
9377 F5S23 Ji
9378 423 301 M ( )S
9379 431 301 M (t)S
9380 440 301 M <92>S
9381 451 301 M (=)S
9382 471 301 M (1)S
9383 423 336 M ( )S
9384 431 336 M ([)S
9385 443 336 M (t)S
9386 451 336 M (<)S
9387 471 336 M (C)S
9388 F5S14 Ji
9389 494 345 M (1)S
9390 F5S23 Ji
9391 505 336 M (])S
9392 412 1109 M ( )S
9393 420 1109 M (t)S
9394 429 1109 M <92>S
9395 440 1109 M (=)S
9396 460 1109 M (1)S
9397 412 1144 M ( )S
9398 420 1144 M ([)S
9399 431 1144 M (t)S
9400 440 1144 M (<)S
9401 460 1144 M (C)S
9402 F5S14 Ji
9403 482 1153 M (2)S
9404 F5S23 Ji
9405 494 1144 M (])S
9406 0 Lj 2 Lc 2 Lw : 317 117 338 343 rc N 596 163 M 374 163 I 374 400 I 596 400 I C
9407 : 2.832 2.914 +S K
9408 ; ; N 437 565 M 368 565 I 368 633 I 437 633 I C
9409 : 2.832 2.914 +S K
9410 ; : 375 572 9 34 rc 375 598 M ( )S
9411 ; : 383 572 25 34 rc 383 598 M (X)S
9412 ; N 428 971 M 363 971 I 363 1036 I 428 1036 I C
9413 : 2.832 2.914 +S K
9414 ; : 369 978 9 34 rc 369 1004 M ( )S
9415 ; : 378 978 21 34 rc 378 1004 M (Z)S
9416 ; : 317 117 179 171 rc N 437 166 M 374 166 I 374 228 I 437 228 I C
9417 : 2.832 2.914 +S K
9418 ; ; : 380 172 9 35 rc 380 199 M ( )S
9419 ; : 389 172 25 35 rc 389 199 M (Y)S
9420 ; N 590 562 M 368 562 I 368 800 I 590 800 I C
9421 : 2.832 2.914 +S K
9422 ; 525 499 M ( )S
9423 533 499 M ([)S
9424 545 499 M (A)S
9425 F5S14 Ji
9426 567 508 M (1)S
9427 F5S23 Ji
9428 579 499 M (=)S
9429 599 499 M (1)S
9430 616 499 M (])S
9431 627 499 M ( )S
9432 635 499 M (-)S
9433 647 499 M (>)S
9434 667 499 M ( )S
9435 675 499 M (s)S
9436 689 499 M (t)S
9437 698 499 M (a)S
9438 712 499 M (r)S
9439 723 499 M (t)S
9440 F5S14 Ji
9441 732 508 M (1)S
9442 F5S23 Ji
9443 743 499 M (,)S
9444 754 499 M ( )S
9445 763 499 M (t)S
9446 771 499 M (=)S
9447 791 499 M (0)S
9448 528 908 M ([)S
9449 539 908 M (A)S
9450 F5S14 Ji
9451 562 916 M (1)S
9452 F5S23 Ji
9453 573 908 M (=)S
9454 593 908 M (0)S
9455 /F4S23 F4 [35.008 0 0 -35.008 0 0 ] mFS
9456 F4S23 Ji
9457 610 908 M <D9>S
9458 F5S23 Ji
9459 630 908 M ( )S
9460 638 908 M (A)S
9461 F5S14 Ji
9462 661 916 M (2)S
9463 F5S23 Ji
9464 672 908 M (=)S
9465 692 908 M (1)S
9466 709 908 M (])S
9467 720 908 M ( )S
9468 729 908 M (-)S
9469 740 908 M (>)S
9470 760 908 M ( )S
9471 769 908 M (s)S
9472 783 908 M (t)S
9473 791 908 M (a)S
9474 805 908 M (r)S
9475 817 908 M (t)S
9476 F5S14 Ji
9477 825 916 M (2)S
9478 F5S23 Ji
9479 837 908 M (,)S
9480 848 908 M ( )S
9481 857 908 M (t)S
9482 865 908 M (=)S
9483 885 908 M (0)S
9484 321 902 M ( )S
9485 329 902 M ([)S
9486 341 902 M (t)S
9487 349 902 M (>)S
9488 369 902 M (C)S
9489 F5S14 Ji
9490 392 911 M (2)S
9491 F5S23 Ji
9492 403 902 M (])S
9493 1 Lw N 525 560 M 525 409 I : 2.832 2.914 +S K
9494 ; N 519 412 M 531 412 I 525 400 I 519 412 I C
9495 O N 519 412 M 531 412 I : 2.832 2.914 +S K
9496 ; N 531 412 M 525 400 I : 2.832 2.914 +S K
9497 ; N 525 400 M 519 412 I : 2.832 2.914 +S K
9498 ; 2 Lw : 306 913 337 336 rc N 584 971 M 363 971 I 363 1208 I 584 1208 I C
9499 : 2.832 2.914 +S K
9500 ; ; 1 Lw N 437 960 M 437 808 I : 2.832 2.914 +S K
9501 ; N 431 811 M 443 811 I 437 800 I 431 811 I C
9502 O N 431 811 M 443 811 I : 2.832 2.914 +S K
9503 ; N 443 811 M 437 800 I : 2.832 2.914 +S K
9504 ; N 437 800 M 431 811 I : 2.832 2.914 +S K
9505 ; N 522 806 M 522 957 I : 2.832 2.914 +S K
9506 ; N 528 957 M 516 957 I 522 966 I 528 957 I C
9507 O N 528 957 M 516 957 I : 2.832 2.914 +S K
9508 ; N 516 957 M 522 966 I : 2.832 2.914 +S K
9509 ; N 522 966 M 528 957 I : 2.832 2.914 +S K
9510 ; N 443 400 M 443 552 I : 2.832 2.914 +S K
9511 ; N 448 552 M 437 552 I 443 560 I 448 552 I C
9512 O N 448 552 M 437 552 I : 2.832 2.914 +S K
9513 ; N 437 552 M 443 560 I : 2.832 2.914 +S K
9514 ; N 443 560 M 448 552 I : 2.832 2.914 +S K
9515 ; 318 496 M ( )S
9516 327 496 M ([)S
9517 338 496 M (t)S
9518 346 496 M (>)S
9519 366 496 M (C)S
9520 F5S14 Ji
9521 389 505 M (1)S
9522 F5S23 Ji
9523 400 496 M (])S
9524 : 267 649 131 75 rc N 301 686 M 361 686 I : 2.832 2.914 +S K
9525 ; ; N 361 680 M 361 692 I 369 686 I 361 680 I C
9526 O N 361 680 M 361 692 I : 2.832 2.914 +S K
9527 ; N 361 692 M 369 686 I : 2.832 2.914 +S K
9528 ; N 369 686 M 361 680 I : 2.832 2.914 +S K
9529 ; F1S2A Ji
9530 441 1339 M (Figure )[26 12 26 26 16 23 0]xS
9531 582 1339 M (12)[23 0]xS
9532 628 1339 M (. EHM)[12 12 28 30 0]xS
9533 F5S1B Ji
9534 745 1345 M (3)S
9535 F0S2A Ji
9536 75 1438 M (EHM)[28 30 0]xS
9537 F0S1B Ji
9538 168 1444 M (3)S
9539 F0S2A Ji
9540 183 1438 M (, representing the SS, has three vertices as)[12 31 14 23 23 14 23 20 23 23 12 10 23 23 32 12 23 23 32 28 28 12 32 23 23 20 32 12 23 14 23 23
9541 32 23 23 14 12 10 21 23 20 32 23 0]xS
9542 75 1486 M (follows.)[13 23 10 10 23 29 20 0]xS
9543 225 1584 M (X: ready to execute interrupt service routines;)[27 12 12 14 23 23 23 21 12 12 23 12 23 22 23 21 23 12 23 12 10 23 12 23 14 14 23 23 12 12 20 23
9544 14 23 10 21 23 12 14 23 23 12 10 23 23 20 0]xS
9545 225 1633 M (Y: e)[28 12 12 0]xS
9546 300 1633 M (xecuting ISR)[22 23 21 23 12 10 23 23 12 12 28 0]xS
9547 F5S1B Ji
9548 539 1639 M (1)S
9549 F0S2A Ji
9550 553 1633 M (; and)[12 12 23 23 0]xS
9551 225 1683 M (Z: executing ISR)[26 12 12 23 22 23 21 23 12 10 23 23 12 12 28 0]xS
9552 F5S1B Ji
9553 537 1689 M (2)S
9554 F0S2A Ji
9555 551 1683 M (.)S
9556 75 1783 M (The parallel composition EHM)[26 23 23 33 23 23 14 23 10 10 23 10 33 21 23 36 23 23 20 10 12 10 23 23 33 28 30 0]xS
9557 F5S1B Ji
9558 699 1789 M (1)S
9559 F0S2A Ji
9560 713 1783 M (||EHM)[11 11 28 30 0]xS
9561 F5S1B Ji
9562 828 1789 M (2)S
9563 F0S2A Ji
9564 842 1783 M ( is shown in)[34 10 20 34 20 23 23 29 23 34 10 0]xS
9565 75 1833 M (Figure )[26 10 23 23 14 23 0]xS
9566 216 1833 M (13)[23 0]xS
9567 262 1833 M (, where only four configurations A)[12 22 29 23 23 14 23 22 23 23 10 21 23 13 23 23 14 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20
9568 23 0]xS
9569 F5S1B Ji
9570 938 1839 M (1)S
9571 F0S2A Ji
9572 952 1833 M (A)S
9573 F5S1B Ji
9574 980 1839 M (2)S
9575 F0S2A Ji
9576 994 1833 M (, A)[12 23 0]xS
9577 F5S1B Ji
9578 1057 1839 M (1)S
9579 F0S2A Ji
9580 1071 1833 M (B)S
9581 F5S1B Ji
9582 1099 1839 M (2)S
9583 F0S2A Ji
9584 1113 1833 M (,)S
9585 75 1883 M (B)S
9586 F5S1B Ji
9587 103 1889 M (1)S
9588 F0S2A Ji
9589 117 1883 M (A)S
9590 F5S1B Ji
9591 145 1889 M (2)S
9592 F0S2A Ji
9593 159 1883 M (, and B)[12 14 23 23 23 14 0]xS
9594 F5S1B Ji
9595 296 1889 M (1)S
9596 F0S2A Ji
9597 310 1883 M (B)S
9598 F5S1B Ji
9599 338 1889 M (2)S
9600 F0S2A Ji
9601 352 1883 M ( are legal. In the figure, we do not show)[15 23 14 23 15 10 23 23 23 10 12 15 15 12 23 15 12 23 23 15 13 10 23 23 14 23 12 15 29 23 15 23
9602 23 15 23 23 12 15 20 23 23 0]xS
9603 75 1932 M (the transitions between illegal configurations because)[12 23 23 24 12 14 23 23 20 10 12 10 23 23 20 24 23 23 12 29 23 23 23 24 10 10 10 23 23 23 10 24
9604 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24 23 23 21 23 23 20 0]xS
9605 75 1980 M (they are not important. In fact, all the illegal)[12 23 23 21 42 23 14 23 42 23 23 12 42 10 36 23 23 14 12 23 23 12 12 42 12 23 42 13 23 21 12 12
9606 43 23 10 10 43 12 23 23 43 10 10 10 23 23 23 0]xS
9607 75 2028 M (configurations can be combined into one.)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 21 23 23 12 23 23 12 21 23 36 23 10 23 23 23 12 10
9608 23 12 23 12 23 23 23 0]xS
9609 : 1458 774 23 34 rc /F5S23 F5 [35.012 0 0 -35.012 0 0 ] mFS
9610 F5S23 Ji
9611 1458 800 M (B)S
9612 ; F5S14 Ji
9613 1481 809 M (1)S
9614 : 1492 774 23 34 rc F5S23 Ji
9615 1492 800 M (C)S
9616 ; 1515 809 M (2)S
9617 : 1705 175 23 35 rc F5S23 Ji
9618 1705 202 M (C)S
9619 ; 1727 210 M (1)S
9620 : 1739 175 25 35 rc F5S23 Ji
9621 1739 202 M (A)S
9622 ; 1761 210 M (2)S
9623 : 1447 175 9 35 rc F5S23 Ji
9624 1447 202 M ( )S
9625 ; : 1455 175 23 35 rc F5S23 Ji
9626 1455 202 M (C)S
9627 ; 1478 210 M (1)S
9628 : 1489 175 23 35 rc F5S23 Ji
9629 1489 202 M (C)S
9630 ; 1512 210 M (2)S
9631 : 1458 479 25 34 rc F5S23 Ji
9632 1458 505 M (A)S
9633 ; 1481 514 M (1)S
9634 : 1492 479 23 34 rc F5S23 Ji
9635 1492 505 M (C)S
9636 ; 1515 514 M (2)S
9637 : 1968 175 23 35 rc F5S23 Ji
9638 1968 202 M (C)S
9639 ; 1991 210 M (1)S
9640 : 2002 175 23 35 rc F5S23 Ji
9641 2002 202 M (B)S
9642 ; 2025 210 M (2)S
9643 : 1710 479 25 34 rc F5S23 Ji
9644 1710 505 M (A)S
9645 ; 1733 514 M (1)S
9646 : 1744 479 25 34 rc F5S23 Ji
9647 1744 505 M (A)S
9648 ; 1767 514 M (2)S
9649 : 1705 771 23 34 rc F5S23 Ji
9650 1705 797 M (B)S
9651 ; 1727 806 M (1)S
9652 : 1739 771 25 34 rc F5S23 Ji
9653 1739 797 M (A)S
9654 ; 1761 806 M (2)S
9655 : 1965 476 25 34 rc F5S23 Ji
9656 1965 502 M (A)S
9657 ; 1988 511 M (1)S
9658 : 1999 476 23 34 rc F5S23 Ji
9659 1999 502 M (B)S
9660 ; 2022 511 M (2)S
9661 : 1965 768 23 34 rc F5S23 Ji
9662 1965 794 M (B)S
9663 ; 1988 803 M (1)S
9664 : 1999 768 23 34 rc F5S23 Ji
9665 1999 794 M (B)S
9666 ; 2022 803 M (2)S
9667 : 1750 315 12 35 rc F5S23 Ji
9668 1750 342 M ([)S
9669 ; : 1761 315 10 35 rc F5S23 Ji
9670 1761 342 M (t)S
9671 ; 1770 350 M (1)S
9672 : 1781 315 20 35 rc F5S23 Ji
9673 1781 342 M (>)S
9674 ; : 1801 315 18 35 rc F5S23 Ji
9675 1801 342 M (d)S
9676 ; 1818 350 M (1)S
9677 : 1829 315 12 35 rc F5S23 Ji
9678 1829 342 M (])S
9679 ; : 2016 318 12 35 rc F5S23 Ji
9680 2016 345 M ([)S
9681 ; : 2028 318 10 35 rc F5S23 Ji
9682 2028 345 M (t)S
9683 ; 2036 353 M (1)S
9684 : 2048 318 20 35 rc F5S23 Ji
9685 2048 345 M (>)S
9686 ; : 2067 318 18 35 rc F5S23 Ji
9687 2067 345 M (d)S
9688 ; 2084 353 M (1)S
9689 : 2096 318 12 35 rc F5S23 Ji
9690 2096 345 M (])S
9691 ; : 1574 444 12 34 rc F5S23 Ji
9692 1574 470 M ([)S
9693 ; : 1585 444 10 34 rc F5S23 Ji
9694 1585 470 M (t)S
9695 ; 1594 479 M (2)S
9696 : 1605 444 20 34 rc F5S23 Ji
9697 1605 470 M (>)S
9698 ; : 1625 444 18 34 rc F5S23 Ji
9699 1625 470 M (d)S
9700 ; 1642 479 M (2)S
9701 : 1654 444 12 34 rc F5S23 Ji
9702 1654 470 M (])S
9703 ; : 1770 625 12 34 rc F5S23 Ji
9704 1770 651 M ([)S
9705 ; : 1781 625 10 34 rc F5S23 Ji
9706 1781 651 M (t)S
9707 ; 1790 660 M (1)S
9708 : 1801 625 20 34 rc F5S23 Ji
9709 1801 651 M (>)S
9710 ; : 1821 625 21 34 rc F5S23 Ji
9711 1821 651 M (T)S
9712 ; 1841 660 M (1)S
9713 : 1852 625 12 34 rc F5S23 Ji
9714 1852 651 M (])S
9715 ; : 1571 741 12 35 rc F5S23 Ji
9716 1571 768 M ([)S
9717 ; : 1583 741 10 35 rc F5S23 Ji
9718 1583 768 M (t)S
9719 ; 1591 776 M (2)S
9720 : 1602 741 20 35 rc F5S23 Ji
9721 1602 768 M (>)S
9722 ; : 1622 741 18 35 rc F5S23 Ji
9723 1622 768 M (d)S
9724 ; 1639 776 M (2)S
9725 : 1651 741 12 35 rc F5S23 Ji
9726 1651 768 M (])S
9727 ; : 1835 814 12 35 rc F5S23 Ji
9728 1835 841 M ([)S
9729 ; : 1846 814 10 35 rc F5S23 Ji
9730 1846 841 M (t)S
9731 ; 1855 849 M (2)S
9732 : 1866 814 20 35 rc F5S23 Ji
9733 1866 841 M (>)S
9734 ; : 1886 814 21 35 rc F5S23 Ji
9735 1886 841 M (T)S
9736 ; 1906 849 M (2)S
9737 : 1917 814 12 35 rc F5S23 Ji
9738 1917 841 M (])S
9739 ; : 1637 628 14 34 rc F5S23 Ji
9740 1637 654 M (s)S
9741 ; : 1651 628 10 34 rc F5S23 Ji
9742 1651 654 M (t)S
9743 ; : 1659 628 16 34 rc F5S23 Ji
9744 1659 654 M (a)S
9745 ; : 1673 628 12 34 rc F5S23 Ji
9746 1673 654 M (r)S
9747 ; : 1685 628 10 34 rc F5S23 Ji
9748 1685 654 M (t)S
9749 ; 1693 663 M (1)S
9750 N 1637 657 M 1693 657 I 1693 660 I 1637 660 I 1637 657 I C
9751 O : 1912 625 14 34 rc F5S23 Ji
9752 1912 651 M (s)S
9753 ; : 1926 625 10 34 rc F5S23 Ji
9754 1926 651 M (t)S
9755 ; : 1934 625 16 34 rc F5S23 Ji
9756 1934 651 M (a)S
9757 ; : 1948 625 12 34 rc F5S23 Ji
9758 1948 651 M (r)S
9759 ; : 1960 625 10 34 rc F5S23 Ji
9760 1960 651 M (t)S
9761 ; 1968 660 M (1)S
9762 N 1912 654 M 1968 654 I 1968 657 I 1912 657 I 1912 654 I C
9763 O : 1838 730 14 34 rc F5S23 Ji
9764 1838 756 M (s)S
9765 ; : 1852 730 10 34 rc F5S23 Ji
9766 1852 756 M (t)S
9767 ; : 1860 730 16 34 rc F5S23 Ji
9768 1860 756 M (a)S
9769 ; : 1875 730 12 34 rc F5S23 Ji
9770 1875 756 M (r)S
9771 ; : 1886 730 10 34 rc F5S23 Ji
9772 1886 756 M (t)S
9773 ; 1895 765 M (2)S
9774 N 1838 759 M 1895 759 I 1895 762 I 1838 762 I 1838 759 I C
9775 O : 1835 432 9 34 rc F5S23 Ji
9776 1835 458 M ( )S
9777 ; : 1843 432 14 34 rc F5S23 Ji
9778 1843 458 M (s)S
9779 ; : 1858 432 10 34 rc F5S23 Ji
9780 1858 458 M (t)S
9781 ; : 1866 432 16 34 rc F5S23 Ji
9782 1866 458 M (a)S
9783 ; : 1880 432 12 34 rc F5S23 Ji
9784 1880 458 M (r)S
9785 ; : 1892 432 10 34 rc F5S23 Ji
9786 1892 458 M (t)S
9787 ; 1900 467 M (2)S
9788 N 1835 461 M 1900 461 I 1900 464 I 1835 464 I 1835 461 I C
9789 O : 2036 628 12 34 rc F5S23 Ji
9790 2036 654 M ([)S
9791 ; : 2048 628 10 34 rc F5S23 Ji
9792 2048 654 M (t)S
9793 ; 2056 663 M (1)S
9794 : 2067 628 20 34 rc F5S23 Ji
9795 2067 654 M (>)S
9796 ; : 2087 628 21 34 rc F5S23 Ji
9797 2087 654 M (T)S
9798 ; 2107 663 M (1)S
9799 : 2118 628 12 34 rc F5S23 Ji
9800 2118 654 M (])S
9801 ; : 1832 526 12 34 rc F5S23 Ji
9802 1832 552 M ([)S
9803 ; : 1843 526 10 34 rc F5S23 Ji
9804 1843 552 M (t)S
9805 ; 1852 561 M (2)S
9806 : 1863 526 20 34 rc F5S23 Ji
9807 1863 552 M (>)S
9808 ; : 1883 526 21 34 rc F5S23 Ji
9809 1883 552 M (T)S
9810 ; 1903 561 M (2)S
9811 : 1914 526 12 34 rc F5S23 Ji
9812 1914 552 M (])S
9813 ; 2 Lw : 1421 402 186 198 rc N 1548 460 M 1443 460 I 1443 540 I 1548 540 I C
9814 : 2.832 2.914 +S K
9815 ; ; N 1801 460 M 1695 460 I 1695 540 I 1801 540 I C
9816 : 2.832 2.914 +S K
9817 ; N 2062 458 M 1956 458 I 1956 537 I 2062 537 I C
9818 : 2.832 2.914 +S K
9819 ; 1 Lw N 1693 496 M 1557 496 I : 2.832 2.914 +S K
9820 ; N 1560 502 M 1560 491 I 1549 496 I 1560 502 I C
9821 O N 1560 502 M 1560 491 I : 2.832 2.914 +S K
9822 ; N 1560 491 M 1549 496 I : 2.832 2.914 +S K
9823 ; N 1549 496 M 1560 502 I : 2.832 2.914 +S K
9824 ; N 1807 482 M 1943 482 I : 2.832 2.914 +S K
9825 ; N 1943 476 M 1943 488 I 1951 482 I 1943 476 I C
9826 O N 1943 476 M 1943 488 I : 2.832 2.914 +S K
9827 ; N 1943 488 M 1951 482 I : 2.832 2.914 +S K
9828 ; N 1951 482 M 1943 476 I : 2.832 2.914 +S K
9829 ; N 1951 517 M 1815 517 I : 2.832 2.914 +S K
9830 ; N 1818 523 M 1818 511 I 1807 517 I 1818 523 I C
9831 O N 1818 523 M 1818 511 I : 2.832 2.914 +S K
9832 ; N 1818 511 M 1807 517 I : 2.832 2.914 +S K
9833 ; N 1807 517 M 1818 523 I : 2.832 2.914 +S K
9834 ; 2 Lw : 1421 697 184 198 rc N 1546 755 M 1440 755 I 1440 835 I 1546 835 I C
9835 : 2.832 2.914 +S K
9836 ; ; N 1798 755 M 1692 755 I 1692 835 I 1798 835 I C
9837 : 2.832 2.914 +S K
9838 ; N 2059 752 M 1953 752 I 1953 832 I 2059 832 I C
9839 : 2.832 2.914 +S K
9840 ; 1 Lw N 1690 791 M 1554 791 I : 2.832 2.914 +S K
9841 ; N 1557 797 M 1557 785 I 1546 791 I 1557 797 I C
9842 O N 1557 797 M 1557 785 I : 2.832 2.914 +S K
9843 ; N 1557 785 M 1546 791 I : 2.832 2.914 +S K
9844 ; N 1546 791 M 1557 797 I : 2.832 2.914 +S K
9845 ; N 1804 776 M 1940 776 I : 2.832 2.914 +S K
9846 ; N 1940 771 M 1940 782 I 1948 776 I 1940 771 I C
9847 O N 1940 771 M 1940 782 I : 2.832 2.914 +S K
9848 ; N 1940 782 M 1948 776 I : 2.832 2.914 +S K
9849 ; N 1948 776 M 1940 771 I : 2.832 2.914 +S K
9850 ; N 1948 811 M 1812 811 I : 2.832 2.914 +S K
9851 ; N 1815 817 M 1815 806 I 1804 811 I 1815 817 I C
9852 O N 1815 817 M 1815 806 I : 2.832 2.914 +S K
9853 ; N 1815 806 M 1804 811 I : 2.832 2.914 +S K
9854 ; N 1804 811 M 1815 817 I : 2.832 2.914 +S K
9855 ; N 1719 540 M 1719 744 I : 2.832 2.914 +S K
9856 ; N 1724 744 M 1713 744 I 1719 753 I 1724 744 I C
9857 O N 1724 744 M 1713 744 I : 2.832 2.914 +S K
9858 ; N 1713 744 M 1719 753 I : 2.832 2.914 +S K
9859 ; N 1719 753 M 1724 744 I : 2.832 2.914 +S K
9860 ; N 1764 753 M 1764 549 I : 2.832 2.914 +S K
9861 ; N 1758 552 M 1770 552 I 1764 540 I 1758 552 I C
9862 O N 1758 552 M 1770 552 I : 2.832 2.914 +S K
9863 ; N 1770 552 M 1764 540 I : 2.832 2.914 +S K
9864 ; N 1764 540 M 1758 552 I : 2.832 2.914 +S K
9865 ; N 2028 753 M 2028 549 I : 2.832 2.914 +S K
9866 ; N 2022 552 M 2033 552 I 2028 540 I 2022 552 I C
9867 O N 2022 552 M 2033 552 I : 2.832 2.914 +S K
9868 ; N 2033 552 M 2028 540 I : 2.832 2.914 +S K
9869 ; N 2028 540 M 2022 552 I : 2.832 2.914 +S K
9870 ; N 1988 537 M 1988 741 I : 2.832 2.914 +S K
9871 ; N 1994 741 M 1982 741 I 1988 750 I 1994 741 I C
9872 O N 1994 741 M 1982 741 I : 2.832 2.914 +S K
9873 ; N 1982 741 M 1988 750 I : 2.832 2.914 +S K
9874 ; N 1988 750 M 1994 741 I : 2.832 2.914 +S K
9875 ; N 1744 453 M 1744 248 I : 2.832 2.914 +S K
9876 ; N 1739 251 M 1750 251 I 1744 240 I 1739 251 I C
9877 O N 1739 251 M 1750 251 I : 2.832 2.914 +S K
9878 ; N 1750 251 M 1744 240 I : 2.832 2.914 +S K
9879 ; N 1744 240 M 1739 251 I : 2.832 2.914 +S K
9880 ; N 2011 453 M 2011 248 I : 2.832 2.914 +S K
9881 ; N 2005 251 M 2016 251 I 2011 240 I 2005 251 I C
9882 O N 2005 251 M 2016 251 I : 2.832 2.914 +S K
9883 ; N 2016 251 M 2011 240 I : 2.832 2.914 +S K
9884 ; N 2011 240 M 2005 251 I : 2.832 2.914 +S K
9885 ; 2 Lw : 1421 117 186 180 rc N 1548 157 M 1443 157 I 1443 237 I 1548 237 I C
9886 : 2.832 2.914 +S K
9887 ; ; : 1638 117 222 180 rc N 1801 157 M 1695 157 I 1695 237 I 1801 237 I C
9888 : 2.832 2.914 +S K
9889 ; ; : 1899 117 222 177 rc N 2062 154 M 1956 154 I 1956 234 I 2062 234 I C
9890 : 2.832 2.914 +S K
9891 ; ; F1S2A Ji
9892 1575 1024 M (Figure )[26 12 26 26 16 23 0]xS
9893 1716 1024 M (13)[23 0]xS
9894 1762 1024 M (. EHM)[12 12 28 30 0]xS
9895 F5S1B Ji
9896 1879 1030 M (i )[7 0]xS
9897 F1S2A Ji
9898 1893 1024 M (||EHM)[12 12 28 30 0]xS
9899 F5S1B Ji
9900 2010 1030 M (2)S
9901 F0S2A Ji
9902 1275 1123 M (The overall system is modeled by)[26 23 23 12 23 23 23 14 23 10 10 12 20 21 20 12 23 36 12 10 20 12 36 23 23 23 10 23 23 12 23 0]xS
9903 1425 1222 M (CHM=EHM)[30 30 35 25 28 30 0]xS
9904 F5S1B Ji
9905 1638 1228 M (1)S
9906 F0S2A Ji
9907 1652 1222 M (||EHM)[11 11 28 30 0]xS
9908 F5S1B Ji
9909 1767 1228 M (2)S
9910 F0S2A Ji
9911 1781 1222 M (||EHM)[11 11 28 30 0]xS
9912 F5S1B Ji
9913 1896 1228 M (3)S
9914 F0S2A Ji
9915 1275 1321 M (which can be constructed similarly.)[29 23 10 21 23 12 21 23 23 12 23 23 12 21 23 23 20 12 14 23 21 12 23 23 12 20 10 36 10 10 23 14
9916 10 21 0]xS
9917 1275 1469 M (Using our algorithm, we can determine if the illegal)[30 20 10 23 23 25 23 23 14 25 23 10 23 23 14 10 12 23 36 12 25 29 23 25 21 23 23 25 23 23 12 23
9918 14 36 10 23 23 25 10 13 26 12 23 23 26 10 10 10 23 23 23 0]xS
9919 1275 1517 M (configurations in the CHM are reachable from the initial)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 14 10 23 14 12 23 23 15 30 30 35 15 23 14 23 15 14 23
9920 23 21 23 23 23 10 23 15 13 14 23 36 15 12 23 23 15 10 23 10 12 10 23 0]xS
9921 1275 1565 M (configuration. This, of course, depends on the values of)[21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 12 26 23 10 20 12 12 23 13 13 21 23 23 14 20 23 12
9922 13 23 23 23 23 23 23 20 13 23 23 13 12 23 23 13 23 23 10 23 23 20 13 23 0]xS
9923 1275 1613 M (T)S
9924 F0S1B Ji
9925 1301 1619 M (i)S
9926 F0S2A Ji
9927 1307 1613 M ( and C)[12 23 23 23 12 0]xS
9928 F0S1B Ji
9929 1430 1619 M (i)S
9930 F0S2A Ji
9931 1436 1613 M (. The following cases have been verified.)[12 12 26 23 23 12 13 23 10 10 23 29 10 23 23 12 21 23 20 23 20 12 23 23 23 23 12 23 23 23 23 12
9932 23 23 14 10 13 10 23 23 0]xS
9933 F2S2A Ji
9934 1275 1711 M (Case 1)[30 23 21 23 18 0]xS
9935 F0S2A Ji
9936 1413 1711 M (: T)[12 18 0]xS
9937 F0S1B Ji
9938 1469 1717 M (1)S
9939 F0S2A Ji
9940 1484 1711 M (=5, T)[25 23 12 18 0]xS
9941 F0S1B Ji
9942 1588 1717 M (2)S
9943 F0S2A Ji
9944 1603 1711 M (=4, C)[25 23 12 18 0]xS
9945 F0S1B Ji
9946 1711 1717 M (1)S
9947 F0S2A Ji
9948 1726 1711 M (=3, C)[25 23 12 19 0]xS
9949 F0S1B Ji
9950 1835 1717 M (2)S
9951 F0S2A Ji
9952 1850 1711 M (=2. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
9953 : N 1275 1715 137 3 rp C
9954 L ; 1275 1760 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
9955 23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
9956 1275 1808 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
9957 12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
9958 1275 1856 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
9959 F2S2A Ji
9960 1275 1954 M (Case 2)[30 23 21 23 18 0]xS
9961 F0S2A Ji
9962 1413 1954 M (: T)[12 18 0]xS
9963 F0S1B Ji
9964 1469 1960 M (1)S
9965 F0S2A Ji
9966 1484 1954 M (=8, T)[25 23 12 18 0]xS
9967 F0S1B Ji
9968 1588 1960 M (2)S
9969 F0S2A Ji
9970 1603 1954 M (=3, C)[25 23 12 18 0]xS
9971 F0S1B Ji
9972 1711 1960 M (1)S
9973 F0S2A Ji
9974 1726 1954 M (=5, C)[25 23 12 19 0]xS
9975 F0S1B Ji
9976 1835 1960 M (2)S
9977 F0S2A Ji
9978 1850 1954 M (=2. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
9979 : N 1275 1958 137 3 rp C
9980 L ; 1275 2003 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
9981 23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
9982 1275 2051 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
9983 12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
9984 1275 2099 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
9985 F2S2A Ji
9986 1275 2197 M (Case 3)[30 23 21 23 18 0]xS
9987 F0S2A Ji
9988 1413 2197 M (: T)[12 18 0]xS
9989 F0S1B Ji
9990 1469 2203 M (1)S
9991 F0S2A Ji
9992 1484 2197 M (=5, T)[25 23 12 18 0]xS
9993 F0S1B Ji
9994 1588 2203 M (2)S
9995 F0S2A Ji
9996 1603 2197 M (=8, C)[25 23 12 18 0]xS
9997 F0S1B Ji
9998 1711 2203 M (1)S
9999 F0S2A Ji
10000 1726 2197 M (=1, C)[25 23 12 19 0]xS
10001 F0S1B Ji
10002 1835 2203 M (2)S
10003 F0S2A Ji
10004 1850 2197 M (=1. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
10005 : N 1275 2201 137 3 rp C
10006 L ; 1275 2246 M (that the illegal configurations are not reachable from the)[12 23 23 12 13 12 23 23 13 10 10 10 23 23 23 10 13 21 23 23 13 10 23 23 14 23 12 10 23 23 20 13
10007 23 14 23 13 23 23 12 14 14 23 23 21 23 23 23 10 23 14 13 14 23 36 14 12 23 0]xS
10008 1275 2294 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10009 12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10010 1275 2342 M (requirement is not violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 23 12 12 23 10 23 10 23 12 23 23 0]xS
10011 F2S2A Ji
10012 1275 2440 M (Case 4)[30 23 21 23 16 0]xS
10013 F0S2A Ji
10014 1411 2440 M (: T)[12 16 0]xS
10015 F0S1B Ji
10016 1465 2446 M (1)S
10017 F0S2A Ji
10018 1480 2440 M (=17, T)[25 23 23 12 16 0]xS
10019 F0S1B Ji
10020 1605 2446 M (2)S
10021 F0S2A Ji
10022 1620 2440 M (=4, C)[25 23 12 16 0]xS
10023 F0S1B Ji
10024 1726 2446 M (1)S
10025 F0S2A Ji
10026 1741 2440 M (=3, C)[25 23 12 16 0]xS
10027 F0S1B Ji
10028 1847 2446 M (2)S
10029 F0S2A Ji
10030 1862 2440 M (=1. In this case, we find)[25 23 12 16 12 23 16 12 23 10 20 17 21 23 20 23 12 17 29 23 17 13 10 23 0]xS
10031 : N 1275 2444 135 3 rp C
10032 L ; 1275 2489 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
10033 23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
10034 1275 2537 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10035 12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10036 1275 2585 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
10037 F2S2A Ji
10038 1275 2683 M (Case 5)[30 23 21 23 18 0]xS
10039 F0S2A Ji
10040 1413 2683 M (: T)[12 18 0]xS
10041 F0S1B Ji
10042 1469 2689 M (1)S
10043 F0S2A Ji
10044 1484 2683 M (=5, T)[25 23 12 18 0]xS
10045 F0S1B Ji
10046 1588 2689 M (2)S
10047 F0S2A Ji
10048 1603 2683 M (=6, C)[25 23 12 18 0]xS
10049 F0S1B Ji
10050 1711 2689 M (1)S
10051 F0S2A Ji
10052 1726 2683 M (=3, C)[25 23 12 19 0]xS
10053 F0S1B Ji
10054 1835 2689 M (2)S
10055 F0S2A Ji
10056 1850 2683 M (=2. In this case, we find)[25 23 12 19 12 23 19 12 23 10 20 19 21 23 20 23 12 19 29 23 19 13 10 23 0]xS
10057 : N 1275 2687 137 3 rp C
10058 L ; 1275 2732 M (that the illegal configurations are reachable from the)[12 23 23 12 23 12 23 23 23 10 10 10 23 23 23 10 23 21 23 23 13 10 23 23 14 23 12 10 23 23 20 24
10059 23 14 23 24 14 23 23 21 23 23 23 10 23 24 13 14 23 36 24 12 23 0]xS
10060 1275 2780 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10061 12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10062 1275 2828 M (requirement is violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 10 23 10 23 12 23 23 0]xS
10063 F2S2A Ji
10064 1275 2926 M (Case 6)[30 23 21 23 14 0]xS
10065 F0S2A Ji
10066 1409 2926 M (: T)[12 14 0]xS
10067 F0S1B Ji
10068 1461 2932 M (1)S
10069 F0S2A Ji
10070 1476 2926 M (=80, T)[25 23 23 12 14 0]xS
10071 F0S1B Ji
10072 1599 2932 M (2)S
10073 F0S2A Ji
10074 1614 2926 M (=40, C)[25 23 23 12 14 0]xS
10075 F0S1B Ji
10076 1741 2932 M (1)S
10077 F0S2A Ji
10078 1756 2926 M (=3, C)[25 23 12 14 0]xS
10079 F0S1B Ji
10080 1860 2932 M (2)S
10081 F0S2A Ji
10082 1875 2926 M (=2. In this case, we find)[25 23 12 14 12 23 14 12 23 10 20 14 21 23 20 23 12 14 29 23 14 13 10 23 0]xS
10083 : N 1275 2930 133 3 rp C
10084 L ; 1275 2975 M (that the illegal configurations are not reachable from the)[12 23 23 12 13 12 23 23 13 10 10 10 23 23 23 10 13 21 23 23 13 10 23 23 14 23 12 10 23 23 20 13
10085 23 14 23 13 23 23 12 14 14 23 23 21 23 23 23 10 23 14 13 14 23 36 14 12 23 0]xS
10086 LH
10087 (%%[Page: 14]%%) =
10088 %%PageTrailer
10089
10090 %%Page: 15 15
10091 %%PageBoundingBox: 18 8 593 784
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10097
10098 0 0 0 1 scol 1185 3158 M (1)S
10099 1208 3158 M (5)S
10100 75 156 M (initial configuration. Therefore, the interrupt latency)[10 23 10 12 10 23 10 32 21 23 23 13 10 23 23 14 23 12 10 23 23 12 32 26 23 23 14 23 13 23 14 23
10101 12 32 12 23 23 32 10 23 12 23 14 14 23 23 12 32 10 23 12 23 23 21 0]xS
10102 75 204 M (requirement is not violated.)[14 23 23 23 10 14 23 36 23 23 12 12 10 20 12 23 23 12 12 23 10 23 10 23 12 23 23 0]xS
10103 F1S2A Ji
10104 75 353 M (SOFTWARE IMPLEMENTATION OF ALGORITHM)[28 33 26 27 39 29 30 28 12 12 35 28 26 28 35 28 30 27 29 27 12 33 30 12 33 26 12 29 26 33 33 30
10105 12 27 30 0]xS
10106 F0S2A Ji
10107 75 452 M (For a practical microprocessor system, determining)[26 23 14 31 23 31 23 14 23 21 12 10 21 23 10 32 36 10 21 14 23 23 14 23 21 23 20 20 23 14 32 20
10108 21 20 12 23 36 12 32 23 23 12 23 14 36 10 23 10 23 0]xS
10109 75 500 M (interrupt latency compatibility using the hybrid system)[10 23 12 23 14 14 23 23 12 21 10 23 12 23 23 21 21 21 21 23 36 23 23 12 10 23 10 10 10 12 21 21
10110 23 20 10 23 23 21 12 23 23 21 23 21 23 14 10 23 21 20 21 20 12 23 0]xS
10111 75 548 M (algorithm presented here requires a computer solution.)[23 10 23 23 14 10 12 23 36 17 23 14 23 20 23 23 12 23 23 17 23 23 14 23 17 14 23 23 23 10 14 23
10112 20 18 23 18 21 23 36 23 23 12 23 14 18 20 23 10 23 12 10 23 23 0]xS
10113 75 596 M (The upper bound on the number of CHM configurations)[26 23 23 14 23 23 23 23 14 15 23 23 23 23 23 15 23 23 15 12 23 23 15 23 23 36 23 23 14 15 23 13
10114 15 30 30 35 15 21 23 23 13 10 23 23 14 23 12 10 23 23 0]xS
10115 75 644 M (for which a manual determination of reachability is)[13 23 14 28 29 23 10 21 23 28 23 28 36 23 23 23 23 10 28 23 23 12 23 14 36 10 23 23 12 10 23 23
10116 29 23 13 29 14 23 23 21 23 23 23 10 10 10 12 21 29 10 0]xS
10117 75 692 M (practical is on the order of 20. In contrast, the practical)[23 14 23 21 12 10 21 23 10 14 10 20 14 23 23 14 12 23 23 14 23 14 23 23 14 14 23 13 14 23 23 12
10118 14 15 12 23 15 21 23 23 12 14 23 20 12 12 15 12 23 23 15 23 14 23 21 12 10 21 23 0]xS
10119 75 740 M (microprocessor systems we have encountered would)[36 10 21 14 23 23 14 23 21 23 20 20 23 14 26 20 21 20 12 23 36 20 26 29 23 26 23 23 23 23 26 23
10120 23 21 23 23 23 12 23 14 23 23 26 29 23 23 10 0]xS
10121 75 788 M (generate CHMs with on the order of 40,000 to 100,000)[23 23 23 23 14 23 12 23 16 30 30 35 20 16 29 10 12 23 16 23 23 16 12 23 23 16 23 14 23 23 14 17
10122 23 13 17 23 23 12 23 23 23 17 12 23 17 23 23 23 12 23 23 0]xS
10123 75 836 M (configurations. Reachability algorithms cannot be)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 36 36 30 23 23 21 23 23 23 10 10 10 12 21 37 23 10
10124 23 23 14 10 12 23 36 20 37 21 23 23 23 23 12 37 23 0]xS
10125 75 884 M (applied to such systems by hand.)[23 23 23 10 10 23 23 12 12 23 12 20 23 21 23 12 20 21 20 12 23 36 20 12 23 21 12 23 23 23 23 0]xS
10126 75 982 M (A fair number of problems can be embedded in the)[28 23 13 23 10 14 23 23 23 36 23 23 14 23 23 13 23 23 14 23 23 10 23 36 20 23 21 23 23 24 23 23
10127 24 23 36 23 23 23 23 23 23 24 10 23 24 12 23 0]xS
10128 75 1030 M (hybrid system framework, including a classic steam)[23 21 23 14 10 23 28 20 21 20 12 23 36 28 13 14 23 36 23 29 23 14 21 12 28 10 23 21 10 23 23 10
10129 23 23 28 23 28 21 10 23 20 20 10 21 28 20 12 23 23 0]xS
10130 75 1078 M (boiler problem [)[23 23 10 10 23 14 12 23 14 23 23 10 23 36 12 0]xS
10131 366 1078 M (2)S
10132 389 1078 M (]. It has been our experience that most)[12 12 13 13 12 12 13 23 23 20 13 23 23 23 23 13 23 23 14 13 23 22 23 23 14 10 23 23 21 23 13 12
10133 23 23 12 13 36 23 20 0]xS
10134 75 1126 M (problems which are amenable to modeling using a)[23 14 23 23 10 23 36 20 28 29 23 10 21 23 28 23 14 23 28 23 36 23 23 23 23 10 23 29 12 23 29 36
10135 23 23 23 10 10 23 23 29 23 20 10 23 23 29 0]xS
10136 75 1174 M (hybrid system framework involve either software alone)[23 21 23 14 10 23 18 20 21 20 12 23 36 18 13 14 23 36 23 29 23 14 21 18 10 23 23 23 10 23 23 18
10137 23 10 12 23 23 14 18 20 23 13 12 29 23 14 23 19 23 10 23 23 0]xS
10138 75 1222 M (or software in control of a physical plant. We feel that)[23 14 16 20 23 13 12 29 23 14 23 16 10 23 16 21 23 23 12 14 23 10 16 23 13 16 23 16 23 23 21 20
10139 10 21 23 10 16 23 10 23 23 12 12 17 17 42 23 17 13 23 23 10 17 12 23 23 0]xS
10140 75 1270 M (the number of problems which require analysis using a)[12 23 23 16 23 23 36 23 23 14 16 23 13 17 23 14 23 23 10 23 36 20 17 29 23 10 21 23 17 14 23 23
10141 23 10 14 23 17 23 23 23 10 21 20 10 20 17 23 20 10 23 23 17 0]xS
10142 75 1318 M (hybrid system framework is adequate to spawn the)[23 21 23 14 10 23 27 20 21 20 12 23 36 27 13 14 23 36 23 29 23 14 21 28 10 20 28 23 23 23 23 23
10143 23 12 23 28 12 23 28 20 23 23 29 23 28 12 23 0]xS
10144 75 1366 M (commercial development of computer tools. We also)[21 23 36 36 23 14 21 10 23 10 19 23 23 23 23 10 23 23 36 23 23 12 20 23 13 20 21 23 36 23 23 12
10145 23 14 20 12 23 23 10 20 12 20 20 42 23 20 23 10 20 0]xS
10146 75 1414 M (feel that the number of such problems is growing, due to)[13 23 23 10 12 12 23 23 12 12 12 23 23 12 23 23 36 23 23 14 12 23 13 12 20 23 21 23 13 23 14 23
10147 23 10 23 36 20 13 10 20 13 23 14 23 29 10 23 23 12 13 23 23 23 13 12 0]xS
10148 75 1462 M (the proliferation of computer-controlled systems. As of)[12 23 23 16 23 14 23 10 10 13 23 14 23 12 10 23 23 16 23 13 16 21 23 36 23 23 12 23 14 14 21 23
10149 23 12 14 23 10 10 23 23 17 20 21 20 12 23 36 20 12 17 17 28 20 17 23 0]xS
10150 75 1510 M (this writing, we are aware of three companies engaged)[12 23 10 20 16 29 14 10 12 10 23 23 12 16 29 23 17 23 14 23 17 23 29 23 14 23 17 23 13 17 12 23
10151 14 23 23 17 21 23 36 23 23 23 10 23 20 17 23 23 23 23 23 23 0]xS
10152 75 1558 M (in the for-profit development of computer tools for the)[10 23 18 12 23 23 19 13 23 14 14 23 14 23 13 10 12 19 23 23 23 23 10 23 23 36 23 23 12 19 23 13
10153 19 21 23 36 23 23 12 23 14 19 12 23 23 10 20 19 13 23 14 19 12 23 0]xS
10154 75 1606 M (analysis of hybrid systems.)[23 23 23 10 21 20 10 20 12 23 13 12 23 21 23 14 10 23 12 20 21 20 12 23 36 20 0]xS
10155 F1S2A Ji
10156 75 1755 M (ACKNOWLEDGMENTS)[29 30 30 30 33 39 26 28 30 33 35 28 30 27 0]xS
10157 F0S2A Ji
10158 75 1854 M (We would like to gratefully acknowledge the support of)[42 23 16 29 23 23 10 23 16 10 10 21 23 16 12 23 16 23 14 23 12 23 13 23 10 10 21 17 23 21 21 23
10159 23 29 10 23 23 23 23 17 12 23 23 17 20 23 23 23 23 14 12 17 23 0]xS
10160 75 1902 M (the management team at Visteon \(Dan Presidio, Dave)[12 23 23 18 36 23 23 23 23 23 36 23 23 12 18 12 23 23 36 18 23 12 18 28 10 20 12 23 23 23 18 14
10161 30 23 23 18 28 14 23 20 10 23 10 23 12 19 30 23 23 0]xS
10162 75 1950 M (Patterson, Chuck Minear, Dave Avery, Marian)[28 23 12 12 23 14 20 23 23 12 50 30 23 23 21 21 51 35 10 23 23 23 14 12 51 30 23 23 23 51 28 23
10163 23 14 21 12 51 35 23 14 10 23 0]xS
10164 75 1998 M (Mahoney, Joe DeVoe, and Nick Sarafopoulos\), whose)[35 23 23 23 23 23 21 12 20 21 23 23 20 30 23 28 23 23 12 20 23 23 23 20 30 10 21 21 20 28 23 14
10165 23 13 23 23 23 23 10 23 20 14 12 20 29 23 23 20 0]xS
10166 75 2046 M (quest for product excellence led to the funding of this)[23 23 23 20 12 19 13 23 14 19 23 14 23 23 23 21 12 19 23 22 21 23 10 10 23 23 21 23 19 10 23 23
10167 19 12 23 19 12 23 23 19 13 23 23 23 10 23 23 20 23 13 20 12 23 10 0]xS
10168 75 2094 M (effort and the freedom to pursue a solution to this)[23 13 13 23 14 12 26 23 23 23 27 12 23 23 27 13 14 23 23 23 23 36 27 12 23 27 23 23 14 20 23 23
10169 27 23 27 20 23 10 23 12 10 23 23 27 12 23 27 12 23 10 0]xS
10170 75 2142 M (problem in the workplace. We also gratefully)[23 14 23 23 10 23 36 42 10 23 42 12 23 23 42 29 23 14 21 23 10 23 21 23 12 42 42 42 23 42 23 10
10171 20 23 43 23 14 23 12 23 13 23 10 10 0]xS
10172 75 2190 M (acknowledge the support of the technical professionals)[23 21 21 23 23 29 10 23 23 23 23 17 12 23 23 18 20 23 23 23 23 14 12 18 23 13 18 12 23 23 18 12
10173 23 21 23 23 10 21 23 10 18 23 14 23 13 23 20 20 10 23 23 23 10 0]xS
10174 75 2238 M (at Visteon who shared with us their expertise and)[23 12 29 28 10 20 12 23 23 23 29 29 23 23 29 20 23 23 14 23 23 30 29 10 12 23 30 23 20 30 12 23
10175 23 10 14 30 23 22 23 23 14 12 10 20 23 30 23 23 0]xS
10176 75 2286 M (exhaustive insight into this problem and the constraints)[23 22 23 23 23 20 12 10 23 23 16 10 23 20 10 23 23 12 16 10 23 12 23 16 12 23 10 20 16 23 14 23
10177 23 10 23 36 16 23 23 23 17 12 23 23 17 21 23 23 20 12 14 23 10 23 12 0]xS
10178 75 2334 M (on the solution; especially Joao Silva, Kevin Tiedje, Bob)[23 23 12 12 23 23 12 20 23 10 23 12 10 23 23 12 13 23 20 23 23 21 10 23 10 10 21 13 21 23 23 23
10179 13 28 10 10 23 23 12 13 28 23 23 10 23 13 26 10 23 23 10 23 12 13 28 23 0]xS
10180 75 2382 M (Crawford, and Karl Overberg.)[30 14 23 29 13 23 14 23 12 12 23 23 23 12 28 23 14 10 12 33 23 23 14 23 23 14 23 0]xS
10181 F1S2A Ji
10182 75 2579 M (CONTACT)[30 33 30 27 29 30 0]xS
10183 F0S2A Ji
10184 75 2678 M (For further information, please contact Dr. Feng Lin,)[26 23 14 23 13 23 14 12 23 23 14 24 10 23 13 23 14 36 23 12 10 23 23 12 24 23 10 23 23 20 23 24
10185 21 23 23 12 23 21 12 24 30 14 12 24 26 23 23 23 24 23 10 23 0]xS
10186 75 2726 M (Department of Electrical and Computer Engineering,)[30 23 23 23 14 12 36 23 23 12 27 23 13 27 28 10 23 21 12 14 10 21 23 10 27 23 23 23 27 30 23 36
10187 23 23 12 23 14 27 28 23 23 10 23 23 23 14 10 23 23 0]xS
10188 75 2774 M (Wayne State University, Detroit, MI 48202, Tel: \(313\))[42 23 21 23 23 20 28 12 23 12 23 20 30 23 10 23 23 14 20 10 12 21 12 20 30 23 12 14 23 10 12 12
10189 21 35 12 21 23 23 23 23 23 12 21 26 23 10 12 21 14 23 23 23 0]xS
10190 75 2822 M (577-3428, Fax: \(313\) 577-1101, email: flin@ece.eng.)[23 23 23 14 23 23 23 23 12 24 26 23 22 12 24 14 23 23 23 14 25 23 23 23 14 23 23 23 23 12 25 23
10191 36 23 10 10 12 25 13 10 10 23 43 23 21 23 12 23 23 23 0]xS
10192 75 2870 M (wayne.edu, home page: www.ece.eng.wayne.edu/~flin.)[29 23 21 23 23 12 23 23 23 12 12 23 23 36 23 12 23 23 23 23 12 12 29 29 29 12 23 21 23 12 23 23
10193 23 12 29 23 21 23 23 12 23 23 23 12 25 13 10 10 23 0]xS
10194 F1S2A Ji
10195 1275 157 M (REFERENCES)[30 28 26 28 30 28 30 30 28 0]xS
10196 F0S2A Ji
10197 1275 251 M (1)S
10198 1298 251 M (.)S
10199 1350 251 M (Audsley, Neil C.; Burns, Alan; Davis, Robert I.;)[28 23 23 20 10 23 21 12 27 30 23 10 10 27 30 12 12 27 28 23 14 23 20 12 28 28 10 23 23 12 28 30
10200 23 23 10 20 12 28 30 23 23 23 14 12 28 12 12 0]xS
10201 1350 293 M (Tindell, Ken W.; Wellings, Andy J.. Fixed Priority)[26 10 23 23 23 10 10 12 21 28 23 23 21 42 12 12 21 42 23 10 10 10 23 23 20 12 21 28 23 23 21 21
10202 21 12 12 22 26 10 22 23 23 22 28 14 10 23 14 10 12 0]xS
10203 1350 335 M (Pre-emptive Scheduling: An Historical Perspective.)[28 14 23 14 23 36 23 12 10 23 23 17 28 21 23 23 23 23 10 10 23 23 12 18 28 23 18 30 10 20 12 23
10204 14 10 21 23 10 18 28 23 14 20 23 23 21 12 10 23 23 0]xS
10205 1350 377 M (Real-Time )[30 23 23 10 14 26 10 36 23 0]xS
10206 F2S2A Ji
10207 1567 377 M (Systems v )[28 21 21 12 23 35 21 22 21 0]xS
10208 F0S2A Ji
10209 1793 377 M (8 n 2-3 Mar-May 1995 pp.)[23 22 23 22 23 14 23 22 35 23 14 14 35 23 21 22 23 23 23 23 23 23 23 0]xS
10210 1350 419 M (173-198.)[23 23 23 14 23 23 23 0]xS
10211 1275 486 M (2)S
10212 1298 486 M (.)S
10213 1350 486 M (M. Heymann, F. Lin and G. Meyer, 1997. Control)[35 12 18 30 23 21 36 23 23 23 12 18 26 12 18 23 10 23 18 23 23 23 18 33 12 18 35 23 21 23 14 12
10214 18 23 23 23 23 12 18 18 30 23 23 12 14 23 0]xS
10215 1350 528 M (Synthesis For A Class Of Hybrid Systems Subject)[28 21 23 12 23 23 20 10 20 19 26 23 14 19 28 19 30 10 23 20 20 19 33 13 19 30 21 23 14 10 23 19
10216 28 21 20 12 23 36 20 20 28 23 23 10 23 21 0]xS
10217 1350 570 M (To Configuration-Based Safety Constraints. NASA)[26 23 17 30 23 23 13 10 23 23 14 23 12 10 23 23 14 28 23 20 23 23 18 28 23 13 23 12 21 18 30 23
10218 23 20 12 14 23 10 23 12 20 12 18 18 30 28 28 0]xS
10219 1350 612 M (Technical Memorandum )[26 23 21 23 23 10 21 23 10 12 35 23 36 23 14 23 23 23 23 36 0]xS
10220 F2S2A Ji
10221 1813 612 M (112196.)[23 23 23 23 23 23 0]xS
10222 F0S2A Ji
10223 1275 679 M (3)S
10224 1298 679 M (.)S
10225 1350 679 M (Park, Dong-Won; Natarajan, Swaminathan;)[28 23 14 21 12 68 30 23 23 23 14 42 23 23 12 69 30 23 12 23 14 23 10 23 23 12 69 28 29 23 36 10
10226 23 23 12 23 23 23 0]xS
10227 1350 721 M (Kanevsky, Arkady. Fixed-priority Scheduling Of)[28 23 23 23 23 20 21 21 12 28 28 14 21 23 23 21 12 28 28 26 10 22 23 23 14 23 14 10 23 14 10 12
10228 21 28 28 21 23 23 23 23 10 10 23 23 29 33 0]xS
10229 1350 763 M (Real-time Systems Using Utilization Bounds.)[30 23 23 10 14 12 10 36 23 48 28 21 20 12 23 36 20 48 30 20 10 23 23 48 30 12 10 10 10 21 23 12
10230 10 23 23 48 28 23 23 23 23 20 0]xS
10231 1350 805 M (Journal )[21 23 23 14 23 23 10 0]xS
10232 F2S2A Ji
10233 1500 805 M (of Systems and )[23 12 13 28 21 21 12 23 35 21 13 23 23 23 0]xS
10234 F0S2A Ji
10235 1804 805 M (Software v 33 n 1 Apr 1996)[28 23 13 12 29 23 14 23 14 23 14 23 23 14 23 14 23 14 28 23 14 14 23 23 23 0]xS
10236 1350 847 M (pp. 57-63.)[23 23 12 12 23 23 14 23 23 0]xS
10237 1275 914 M (4)S
10238 1298 914 M (.)S
10239 1350 914 M (Park, Dong-Won; Natarajan, S.; Kanevsky, Arkady;)[28 23 14 21 12 16 30 23 23 23 14 42 23 23 12 16 30 23 12 23 14 23 10 23 23 12 17 28 12 12 17 28
10240 23 23 23 23 20 21 21 12 17 28 14 21 23 23 21 0]xS
10241 1350 956 M (Kim, Myung Jun. Generalized Utilization Bound)[28 10 36 12 25 35 21 23 23 23 26 21 23 23 12 26 26 33 23 23 23 14 23 10 10 21 23 23 26 30 12 10
10242 10 10 21 23 12 10 23 23 26 28 23 23 23 0]xS
10243 1350 998 M (Test For Fixed-Priority Real-Time Scheduling)[26 23 20 12 44 26 23 14 45 26 10 22 23 23 14 28 14 10 23 14 10 12 21 45 30 23 23 10 14 26 10 36
10244 23 45 28 21 23 23 23 23 10 10 23 0]xS
10245 1350 1040 M (Proceedings )[28 14 23 21 23 23 23 10 23 23 20 0]xS
10246 F2S2A Ji
10247 1632 1040 M (of the 1995 )[23 12 52 12 23 23 52 23 23 23 23 0]xS
10248 F0S2A Ji
10249 1973 1040 M (2nd International)[23 23 23 52 12 23 12 23 14 23 23 12 10 23 23 23 0]xS
10250 F2S2A Ji
10251 1350 1082 M (Workshop )[40 23 14 21 21 23 23 23 0]xS
10252 F0S2A Ji
10253 1560 1082 M (on Real-Time Computing )[23 23 22 30 23 23 10 14 26 10 36 23 23 30 23 36 23 23 12 10 23 23 0]xS
10254 F2S2A Ji
10255 2072 1082 M (Systems and)[28 21 21 12 23 35 21 23 23 23 0]xS
10256 1350 1124 M (Applications )[28 23 23 9 9 21 23 12 9 23 23 21 0]xS
10257 F0S2A Ji
10258 1586 1124 M (Oct 25-27 1995 Tokyo Japan pp. 73-77.)[33 21 12 12 23 23 14 23 23 12 23 23 23 23 12 26 23 21 21 23 12 21 23 23 23 23 12 23 23 12 12 23
10259 23 14 23 23 0]xS
10260 1275 1191 M (5)S
10261 1298 1191 M (.)S
10262 1350 1191 M (Liu, C.L.; Layland, James W. Scheduling)[23 10 23 12 46 30 12 23 12 12 46 23 23 21 10 23 23 23 12 46 21 23 36 23 20 46 42 12 46 46 28 21
10263 23 23 23 23 10 10 23 0]xS
10264 1350 1233 M (Algorithms for Multiprogramming In A Hard Real-)[28 10 23 23 14 10 12 23 36 20 22 13 23 14 22 35 23 10 12 10 23 14 23 23 14 23 36 36 10 23 23 22
10265 12 23 23 28 23 30 23 14 23 23 30 23 23 10 0]xS
10266 1350 1275 M (Time Environment. Journal Of The ACM, v 20 n 1,)[26 10 36 23 14 28 23 23 10 14 23 23 36 23 23 12 12 14 14 21 23 23 14 23 23 10 14 33 13 14 26 23
10267 23 14 28 30 35 12 14 23 15 23 23 15 23 15 23 0]xS
10268 1350 1317 M (January 1973, pp. 46-61.)[21 23 23 23 23 14 21 12 23 23 23 23 12 12 23 23 12 12 23 23 14 23 23 0]xS
10269 1275 1384 M (6)S
10270 1298 1384 M (.)S
10271 1350 1384 M (M. Heymann, F. Lin, and G. Meyer, \223Synthesis And)[35 12 15 30 23 21 36 23 23 23 12 15 26 12 15 23 10 23 12 15 23 23 23 15 33 12 15 35 23 21 23 14
10272 12 15 14 28 21 23 12 23 23 20 10 20 16 28 23 0]xS
10273 1350 1426 M (Viability Of Minimally Interventive Legal Controllers)[28 10 23 23 10 10 10 12 21 15 33 13 16 35 10 23 10 36 23 10 10 21 16 12 23 12 23 14 23 23 23 12
10274 10 23 23 16 23 23 23 23 10 16 30 23 23 12 14 23 10 10 23 14 0]xS
10275 1350 1468 M (For Hybrid Systems\224, Discrete Event Dynamic)[26 23 14 35 30 21 23 14 10 23 36 28 21 20 12 23 36 20 14 12 36 30 10 20 21 14 23 12 23 36 28 23
10276 23 23 12 36 30 21 23 23 36 10 0]xS
10277 1350 1510 M (Systems: Theory and Applications, 8\(2\), pp. 105-)[28 21 20 12 23 36 20 12 19 20 26 23 23 23 14 21 20 23 23 23 20 28 23 23 10 10 21 23 12 10 23 23
10278 20 12 20 23 14 23 14 12 20 23 23 12 20 23 23 23 0]xS
10279 1350 1552 M (135.)[23 23 23 0]xS
10280 F1S2A Ji
10281 1275 1725 M (DEFINITIONS/ACRONYMS/ABBREVIATIONS)[30 28 26 12 30 12 27 12 33 30 28 12 29 30 30 33 30 28 35 28 12 29 30 30 30 28 28 12 29 27 12 33
10282 30 0]xS
10283 F0S2A Ji
10284 1275 1824 M (AIL)[28 12 0]xS
10285 1350 1872 M (Allowable interrupt latency, the maximum delay)[28 10 10 23 29 23 23 10 23 12 10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 21 21 12 12 12 23 23
10286 12 36 23 22 10 36 23 36 12 23 23 10 23 0]xS
10287 1350 1920 M (\(without ill effects\) between the assertion of an)[14 29 10 12 23 23 23 12 12 10 10 10 12 23 13 13 23 21 12 20 14 12 23 23 12 29 23 23 23 12 12 23
10288 23 12 23 20 20 23 14 12 10 23 23 12 23 13 12 23 0]xS
10289 1350 1968 M (interrupt in hardware and the start of execution of)[10 23 12 23 14 14 23 23 12 12 10 23 12 23 23 14 23 29 23 14 23 12 23 23 23 12 12 23 23 12 20 12
10290 23 14 12 12 23 13 12 23 22 23 21 23 12 10 23 23 12 23 0]xS
10291 1350 2016 M (the associated interrupt service routine.)[12 23 23 12 23 20 20 23 21 10 23 12 23 23 12 10 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23
10292 12 14 23 23 12 10 23 23 0]xS
10293 1275 2112 M (CHM)[30 30 0]xS
10294 1350 2160 M (Composite hybrid machine, a )[30 23 36 23 23 20 10 12 23 12 23 21 23 14 10 23 12 36 23 21 23 10 23 23 12 12 23 0]xS
10295 1906 2160 M (collection of)[21 23 10 10 23 21 12 10 23 23 12 23 0]xS
10296 1350 2208 M (configurations and transitions formed by performing)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 23 23 23 12 12 14 23 23 20 10 12 10 23 23 20 12 13
10297 23 14 36 23 23 12 23 21 12 23 23 14 13 23 14 36 10 23 0]xS
10298 1350 2256 M (a parallel composition of several EHMs. Note that a)[23 12 23 23 14 23 10 10 23 10 12 21 23 36 23 23 20 10 12 10 23 23 12 23 13 12 20 23 23 23 14 23
10299 10 12 28 30 35 20 12 12 12 30 23 12 23 12 12 23 23 12 12 0]xS
10300 1350 2304 M (CHM is structurally identical to an EHM \(form of)[30 30 35 12 10 20 12 20 12 14 23 21 12 23 14 23 10 10 21 12 10 23 23 23 12 10 21 23 10 12 12 23
10301 12 23 23 12 28 30 35 12 14 13 23 14 36 12 23 0]xS
10302 1350 2352 M (configurations and transitions\), but a CHM will)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 23 23 23 12 12 14 23 23 20 10 12 10 23 23 20 14 12
10303 12 23 23 12 12 23 12 30 30 35 12 29 10 10 0]xS
10304 1350 2400 M (contain many more configurations than an EHM.)[21 23 23 12 23 10 23 12 36 23 23 21 12 36 23 14 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 20
10305 12 12 23 23 23 12 23 23 12 28 30 35 0]xS
10306 1275 2496 M (Configuration)[30 23 23 13 10 23 23 14 23 12 10 23 0]xS
10307 1350 2544 M (The discrete part of the state vector of an EHM or)[26 23 23 12 23 10 20 21 14 23 12 23 12 23 23 14 12 12 23 13 12 12 23 23 12 20 12 23 12 23 12 23
10308 23 21 12 23 14 12 23 13 12 23 23 12 28 30 35 12 23 0]xS
10309 1350 2592 M (CHM. In our drawings, configurations are shown as)[30 30 35 12 12 12 12 23 12 23 23 14 12 23 14 23 29 10 23 23 20 12 12 21 23 23 13 10 23 23 14 23
10310 12 10 23 23 20 12 23 14 23 12 20 23 23 29 23 12 23 0]xS
10311 1350 2640 M (rectangles and are linked together by transitions.)[14 23 21 12 23 23 23 10 23 20 12 23 23 23 12 23 14 23 12 10 10 23 21 23 23 12 12 23 23 23 12 23
10312 23 14 12 23 21 12 12 14 23 23 20 10 12 10 23 23 20 0]xS
10313 1350 2688 M (Because an EHM or CHM also contains continuous)[28 23 21 23 23 20 23 12 23 23 12 28 30 35 12 23 14 12 30 30 35 12 23 10 20 23 12 21 23 23 12 23
10314 10 23 20 12 21 23 23 12 10 23 23 23 23 0]xS
10315 1350 2736 M (state variables, the state vector of an EHM or CHM)[20 12 23 12 23 12 23 23 14 10 23 23 10 23 20 12 12 12 23 23 12 20 12 23 12 23 12 23 23 21 12 23
10316 14 12 23 13 12 23 23 12 28 30 35 12 23 14 12 30 30 0]xS
10317 1350 2784 M (is hybrid. We use configuration to refer to the)[10 20 12 23 21 23 14 10 23 12 12 12 42 23 12 23 20 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23
10318 12 12 23 12 14 23 13 23 14 12 12 23 12 12 23 0]xS
10319 1350 2832 M (discrete part only.)[23 10 20 21 14 23 12 23 12 23 23 14 12 12 23 23 10 21 0]xS
10320 1275 2928 M (CS)[30 0]xS
10321 1350 2976 M (Critical section, a sequence of machine instructions)[30 14 10 12 10 21 23 10 12 20 23 21 12 10 23 23 12 12 23 12 20 23 23 23 23 23 21 23 12 23 13 12
10322 36 23 21 23 10 23 23 12 10 23 20 12 14 23 21 12 10 23 23 0]xS
10323 1350 3024 M (executed with hardware interrupts disabled. Critical)[23 22 23 21 23 12 23 23 12 29 10 12 23 12 23 23 14 23 29 23 14 23 12 10 23 12 23 14 14 23 23 12
10324 20 12 23 10 20 23 23 10 23 23 12 12 12 30 14 10 12 10 21 23 0]xS
10325 LH
10326 (%%[Page: 15]%%) =
10327 %%PageTrailer
10328
10329 %%Page: 16 16
10330 %%PageBoundingBox: 18 8 593 784
10331 %%EndPageComments
10332 %%BeginPageSetup
10333 /DeviceRGB dup setcolorspace /colspABC exch def
10334 mysetup concat colspRefresh
10335 %%EndPageSetup
10336
10337 0 0 0 1 scol 1185 3158 M (1)S
10338 1208 3158 M (6)S
10339 150 156 M (sections are commonly used to properly share)[20 23 21 12 10 23 23 20 12 23 14 23 12 21 23 36 36 23 23 10 21 12 23 20 23 23 12 12 23 12 23 14
10340 23 23 23 14 10 21 12 20 23 23 14 0]xS
10341 150 204 M (resources \(data structures, hardware\) between ISR)[14 23 20 23 23 14 21 23 20 12 14 23 23 12 23 12 20 12 14 23 21 12 23 14 23 20 12 12 23 23 14 23
10342 29 23 14 23 14 12 23 23 12 29 23 23 23 12 12 28 0]xS
10343 150 252 M (and non-ISR software components, or to guarantee)[23 23 23 12 23 23 23 14 12 28 30 12 20 23 13 12 29 23 14 23 12 21 23 36 23 23 23 23 23 12 20 12
10344 12 23 14 12 12 23 12 23 23 23 14 23 23 12 23 0]xS
10345 150 300 M (reliable timing of a sequence of instructions. Critical)[14 23 10 10 23 23 10 23 12 12 10 36 10 23 23 12 23 13 12 23 12 20 23 23 23 23 23 21 23 12 23 13
10346 12 10 23 20 12 14 23 21 12 10 23 23 20 12 12 12 30 14 10 12 10 21 23 0]xS
10347 150 348 M (sections are relevant to the interrupt latency)[20 23 21 12 10 23 23 20 12 23 14 23 12 14 23 10 23 23 23 23 12 12 12 23 12 12 23 23 12 10 23 12
10348 23 14 14 23 23 12 12 10 23 12 23 23 21 0]xS
10349 150 396 M (compatibility problem because they may delay the)[21 23 36 23 23 12 10 23 10 10 10 12 21 12 23 14 23 23 10 23 36 12 23 23 21 23 23 20 23 12 12 23
10350 23 21 12 36 23 21 12 23 23 10 23 21 12 12 23 0]xS
10351 150 444 M (start of an ISR.)[20 12 23 14 12 12 23 13 12 23 23 12 12 28 30 0]xS
10352 75 540 M (EHM)[28 30 0]xS
10353 150 588 M (Elementary hybrid machine, a collection of)[28 10 23 36 23 23 12 23 14 21 12 23 21 23 14 10 23 12 36 23 21 23 10 23 23 12 12 23 12 21 23 10
10354 10 23 21 12 10 23 23 12 23 0]xS
10355 150 636 M (configurations, dynamics, and transitions.)[21 23 23 13 10 23 23 14 23 12 10 23 23 20 12 12 23 21 23 23 36 10 21 20 12 12 23 23 23 12 12 14
10356 23 23 20 10 12 10 23 23 20 0]xS
10357 75 732 M (ILC)[12 23 0]xS
10358 150 780 M (Illegal configuration, a configuration in an EHM)[12 10 10 23 23 23 10 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 12 23 12 21 23 23 13 10 23 23
10359 14 23 12 10 23 23 12 10 23 12 23 23 12 28 30 0]xS
10360 150 828 M (which is deemed arbitrarily undesirable.)[29 23 10 21 23 12 10 20 12 23 23 23 36 23 23 12 23 14 23 10 12 14 23 14 10 10 21 12 23 23 23 23
10361 20 10 14 23 23 10 23 0]xS
10362 75 924 M (IS)[12 0]xS
10363 150 972 M (Interrupt source, a hardware peripheral which can)[12 23 12 23 14 14 23 23 12 12 20 23 23 14 21 23 12 12 23 12 23 23 14 23 29 23 14 23 12 23 23 14
10364 10 23 23 23 14 23 10 12 29 23 10 21 23 12 21 23 0]xS
10365 150 1020 M (generate a hardware interrupt, such as a timer or a)[23 23 23 23 14 23 12 23 12 23 12 23 23 14 23 29 23 14 23 12 10 23 12 23 14 14 23 23 12 12 12 20
10366 23 21 23 12 23 20 12 23 12 12 10 36 23 14 12 23 14 12 0]xS
10367 150 1068 M (communication peripheral.)[21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 0]xS
10368 75 1164 M (ISR)[12 28 0]xS
10369 150 1212 M (Interrupt service routine, a software component)[12 23 12 23 14 14 23 23 12 12 20 23 14 23 10 21 23 12 14 23 23 12 10 23 23 12 12 23 12 20 23 13
10370 12 29 23 14 23 12 21 23 36 23 23 23 23 23 0]xS
10371 150 1260 M (which is executed in response to a hardware)[29 23 10 21 23 12 10 20 12 23 22 23 21 23 12 23 23 12 10 23 12 14 23 20 23 23 23 20 23 12 12 23
10372 12 23 12 23 23 14 23 29 23 14 0]xS
10373 150 1308 M (interrupt.)[10 23 12 23 14 14 23 23 12 0]xS
10374 75 1404 M (OE)[33 0]xS
10375 150 1452 M (Output event, an event generated by an EHM. An)[33 23 12 23 23 12 12 23 23 23 23 12 12 12 23 23 12 23 23 23 23 12 12 23 23 23 23 14 23 12 23 23
10376 12 23 21 12 23 23 12 28 30 35 12 12 12 28 0]xS
10377 150 1500 M (output event of one EHM may be an input of)[23 23 12 23 23 12 12 23 23 23 23 12 12 23 13 12 23 23 23 12 28 30 35 12 36 23 21 12 23 23 12 23
10378 23 12 10 23 23 23 12 12 23 0]xS
10379 150 1548 M (another EHM.)[23 23 23 12 23 23 14 12 28 30 35 0]xS
10380 75 1644 M (RMA)[30 35 0]xS
10381 150 1692 M (Rate-monotonic analysis, a body of mathematical)[30 23 12 23 14 36 23 23 23 12 23 23 10 21 12 23 23 23 10 21 20 10 20 12 12 23 12 23 23 23 21 12
10382 23 13 12 36 23 12 23 23 36 23 12 10 21 23 0]xS
10383 150 1740 M (results derived from a paradigm involving software)[14 23 20 23 10 12 20 12 23 23 14 10 23 23 23 12 13 14 23 36 12 23 12 23 23 14 23 23 10 23 36 12
10384 10 23 23 23 10 23 10 23 23 12 20 23 13 12 29 23 14 0]xS
10385 150 1788 M (processes with a constant rate of execution and a)[23 14 23 21 23 20 20 23 20 12 29 10 12 23 12 23 12 21 23 23 20 12 23 23 12 12 14 23 12 23 12 23
10386 13 12 23 22 23 21 23 12 10 23 23 12 23 23 23 12 0]xS
10387 150 1836 M (constant execution time.)[21 23 23 20 12 23 23 12 12 23 22 23 21 23 12 10 23 23 12 12 10 36 23 0]xS
10388 75 1932 M (RSSV)[30 28 28 0]xS
10389 150 1980 M (Requesting service shared variable, a sha)[30 23 23 23 23 20 12 10 23 23 12 20 23 14 23 10 21 23 12 20 23 23 14 23 23 12 23 23 14 10 23 23
10390 10 23 12 12 23 12 20 23 0]xS
10391 930 1980 M (red)[14 23 0]xS
10392 150 2028 M (continuous variable used by an interrupt source)[21 23 23 12 10 23 23 23 23 20 12 23 23 14 10 23 23 10 23 12 23 20 23 23 12 23 21 12 23 23 12 10
10393 23 12 23 14 14 23 23 12 12 20 23 23 14 21 0]xS
10394 150 2076 M (EHM to indicate to the SS EHM that service is)[28 30 35 12 12 23 12 10 23 23 10 21 23 12 23 12 12 23 12 12 23 23 12 28 28 12 28 30 35 12 12 23
10395 23 12 12 20 23 14 23 10 21 23 12 10 0]xS
10396 150 2124 M (requested.)[14 23 23 23 23 20 12 23 23 0]xS
10397 75 2220 M (RTPI)[30 26 28 0]xS
10398 150 2268 M (Ready to process interrupts, a single configuration in)[30 23 23 23 21 12 12 23 12 23 14 23 21 23 20 20 12 10 23 12 23 14 14 23 23 12 20 12 12 23 12 20
10399 10 23 23 10 23 12 21 23 23 13 10 23 23 14 23 12 10 23 23 12 10 0]xS
10400 150 2316 M (our model of a software system, during which the)[23 23 14 12 36 23 23 23 10 12 23 13 12 23 12 20 23 13 12 29 23 14 23 12 20 21 20 12 23 36 12 12
10401 23 23 14 10 23 23 12 29 23 10 21 23 12 12 23 0]xS
10402 150 2364 M (software is free to process interrupts by executing)[20 23 13 12 29 23 14 23 12 10 20 12 13 14 23 23 12 12 23 12 23 14 23 21 23 20 20 12 10 23 12 23
10403 14 14 23 23 12 20 12 23 21 12 23 22 23 21 23 12 10 23 0]xS
10404 150 2412 M (an ISR.)[23 23 12 12 28 30 0]xS
10405 75 2508 M (SS)[28 0]xS
10406 150 2556 M (Software system, the EHM model of the software)[28 23 13 12 29 23 14 23 12 20 21 20 12 23 36 12 12 12 23 23 12 28 30 35 12 36 23 23 23 10 12 23
10407 13 12 12 23 23 12 20 23 13 12 29 23 14 0]xS
10408 150 2604 M (system including ISRs and CSs.)[20 21 20 12 23 36 12 10 23 21 10 23 23 10 23 23 12 12 28 30 20 12 23 23 23 12 30 28 20 0]xS
10409 75 2700 M (SV)[28 0]xS
10410 150 2748 M (Shared variable, a continuous variable which is)[28 23 23 14 23 23 12 23 23 14 10 23 23 10 23 12 12 23 12 21 23 23 12 10 23 23 23 23 20 12 23 23
10411 14 10 23 23 10 23 12 29 23 10 21 23 12 10 0]xS
10412 150 2796 M (assigned by exactly one EHM and may be tested by)[23 20 20 10 23 23 23 23 12 23 21 12 23 22 23 21 12 10 21 12 23 23 23 12 28 30 35 12 23 23 23 12
10413 36 23 21 12 23 23 12 12 23 20 12 23 23 12 23 0]xS
10414 150 2844 M (an unlimited number of other EHMs.)[23 23 12 23 23 10 10 36 10 12 23 23 12 23 23 36 23 23 14 12 23 13 12 23 12 23 23 14 12 28 30 35
10415 20 0]xS
10416 75 2940 M (UART)[30 28 30 0]xS
10417 1350 156 M (Unive)[30 23 10 23 0]xS
10418 1459 156 M (rsal asynchronous receiver transmitter, a)[14 20 23 10 12 23 20 21 23 21 23 14 23 23 23 23 20 12 14 23 21 23 10 23 23 14 12 12 14 23 23 20
10419 36 10 12 12 23 14 12 12 0]xS
10420 1350 204 M (common communication peripheral which can)[21 23 36 36 23 23 12 21 23 36 36 23 23 10 21 23 12 10 23 23 12 23 23 14 10 23 23 23 14 23 10 12
10421 29 23 10 21 23 12 21 23 0]xS
10422 1350 252 M (receive and send serial characters.)[14 23 21 23 10 23 23 12 23 23 23 12 20 23 23 23 12 20 23 14 10 23 10 12 21 23 23 14 23 21 12 23
10423 14 20 0]xS
10424 LH
10425 (%%[Page: 16]%%) =
10426 %%PageTrailer
10427
10428 %%Trailer
10429 %%BoundingBox: 18 8 593 784
10430 %%DocumentNeededResources:
10431 %%+ font Helvetica
10432 %%+ font Helvetica-Bold
10433 %%+ font Helvetica-Oblique
10434 %%+ font Helvetica-BoldOblique
10435 %%+ font Symbol
10436 %%+ font Times-Roman
10437 %%+ font Times-Italic
10438 %%DocumentSuppliedResources:
10439 %%+ procset Pscript_WinNT_ErrorHandler 5.0 0
10440 %%+ procset Pscript_FatalError 5.0 0
10441 %%+ procset Pscript_Win_Basic 5.0 0
10442 %%+ procset Pscript_Win_Utils_L2 5.0 0
10443 %%+ procset Pscript_Text 5.0 0
10444 %%+ procset Pscript_Encoding256 5.0 0
10445 %%+ procset Pscript_Win_Euro_L2 5.0 0
10446 %%+ procset Pscript_Win_GdiObject 5.0 0
10447 %%+ procset Pscript_Win_GdiObject_L2 5.0 0
10448 %%+ procset Pscript_T3Hdr 5.0 0
10449 %%+ procset Pscript_Win_Dib_L2 5.0 0
10450 Pscript_WinNT_Incr dup /terminate get exec
10451 %%Pages: 16
10452 (%%[LastPage]%%) =
10453 %%EOF
10454 

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