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Specification of Reactive Hardware/Software Systems - Electronic ...

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Glossary <strong>of</strong> Symbols 437<br />

267 Cp ¥¡ ¡ ¡ ¥ (PE1 PEr) (parameterised) instance <strong>of</strong> process class Cp 267 Cc ¥¡ ¡ ¡ ¥ (PE1 PEr) (parameterised) instance <strong>of</strong> cluster class Cc § 285 conf p £¢¥¤<br />

<br />

£<br />

£<br />

equivalence class <strong>of</strong> configurations<br />

249 conf1<br />

a<br />

conf2<br />

conf<br />

conf1 leads to conf2 in one computation step<br />

p<br />

277 conf p<br />

1<br />

284 conf<br />

2<br />

p<br />

¡<br />

¤ 1<br />

a<br />

conf p<br />

284 conf<br />

2<br />

p ¢<br />

1 conf p<br />

285 conf<br />

2<br />

p<br />

¡ 1 conf p<br />

2<br />

¢<br />

conf p<br />

1 leads to conf p<br />

2 by performing action a<br />

conf p<br />

2<br />

conf p<br />

1<br />

is an a descendant <strong>of</strong> conf p<br />

1<br />

and conf p<br />

1<br />

are observation equivalent<br />

conf p<br />

1 and conf p<br />

1 are transformation equivalent<br />

243 cunk unknown character object<br />

237 Dom(f) domain <strong>of</strong> function f<br />

249 E e indication <strong>of</strong> an outstanding message<br />

236 f : V ¦£ W f is a partial function from V to W<br />

237 f : V £ W f is a total function from V to W<br />

275 f (l) (f (l a )) renaming <strong>of</strong> the channel <strong>of</strong> l (l a ) by f<br />

236 f ¢<br />

v£<br />

image <strong>of</strong> v under function f<br />

237 f (v) undef image <strong>of</strong> v under f is undefined<br />

237 f £<br />

w© v¦<br />

¤<br />

variant notation for function f<br />

237 f Z function f restricted to domain Z<br />

236 Id identity relation<br />

305 ISD(BSpece ¥ Sysp ) instance structure diagram <strong>of</strong> BSpece 243 iunk unknown integer object<br />

275 l (la ) complement <strong>of</strong> action l (la MaxId(¡ ¡<br />

)<br />

248 ) greates object identifier in<br />

273 m(p1£ ¡ ¡ ¡£<br />

¢<br />

¤<br />

£¢¥¤<br />

pm) indication <strong>of</strong> process method execution<br />

247 n object identifier<br />

244 new data object creation<br />

243 nil nil object<br />

312 NoComChange transformation condition<br />

312 NoComChange’ transformation condition<br />

235 the empty set<br />

249 pop(s) pop the top <strong>of</strong>f stack s<br />

248 proc process identifier<br />

252 (conf ) meaning <strong>of</strong> configuration conf<br />

285<br />

p (conf ) p<br />

meaning <strong>of</strong> configuration conf<br />

249 push(e,s) push element e on top <strong>of</strong> stack s<br />

237 Rng(f) range <strong>of</strong> function f<br />

236 Rn ¥<br />

n-fold composition <strong>of</strong> relation R<br />

236 R reflexive transitive closure <strong>of</strong> relation R<br />

236 R S or RS relation composition <strong>of</strong> R and S<br />

254 relabel m relabelling <strong>of</strong> minimal Sys-structure<br />

277 Reset(conf p ) reset <strong>of</strong> process configuration conf p<br />

<br />

¡ ¡<br />

¥ ¥ ¥ Sys s¥<br />

243 runk unknown real object<br />

284<br />

weak bisimulation<br />

249 e S data configuration<br />

244 self data object that is evaluating the self expression

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