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Reactive Systems: Modelling, Specification and Verification - Cs.ioc.ee

Reactive Systems: Modelling, Specification and Verification - Cs.ioc.ee

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List of Figures<br />

2.1 The interface for process CS . . . . . . . . . . . . . . . . . . . . 10<br />

2.2 The interface for process CM | CS . . . . . . . . . . . . . . . . . 13<br />

2.3 The interface for process CM | CS | CS ′ . . . . . . . . . . . . . . 14<br />

2.4 The interface for process CM | CS | CM ′ . . . . . . . . . . . . . . 15<br />

2.5 The interface for process SmUni | CS ′ . . . . . . . . . . . . . . . 16<br />

2.6 Labelled transition system with initial state p . . . . . . . . . . . 22<br />

3.1 P R Q implies that C[P ] R C[Q] . . . . . . . . . . . . . . . . . . 39<br />

3.2 A bisimulation showing B 2 0 ∼ B1 0 | B1 0 . . . . . . . . . . . . . . 59<br />

6.1 Two processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116<br />

6.2 A process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123<br />

6.3 The processes p <strong>and</strong> pn . . . . . . . . . . . . . . . . . . . . . . . 141<br />

6.4 The coff<strong>ee</strong> machine gkm . . . . . . . . . . . . . . . . . . . . . . 143<br />

6.5 Simple infinite process p . . . . . . . . . . . . . . . . . . . . . . 145<br />

7.1 The pseudocode for Hyman’s algorithm . . . . . . . . . . . . . . 162<br />

10.1 Light switch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196<br />

10.2 Clock constraint in the guard vs in the invariant . . . . . . . . . . 203<br />

10.3 A small Jobshop . . . . . . . . . . . . . . . . . . . . . . . . . . . 204<br />

10.4 The lazy Worker <strong>and</strong> his dem<strong>and</strong>ing Employer . . . . . . . . . . . 210<br />

11.1 A simple timed automaton . . . . . . . . . . . . . . . . . . . . . 226<br />

11.2 Partitioning of the valuations for the automaton on Figure 11.1 . . 227<br />

11.3 Symbolic exploration of the timed automaton on Figure 11.1 . . . 240<br />

12.1 A simple timed automaton . . . . . . . . . . . . . . . . . . . . . 248<br />

12.2 Regions for cx = 2 <strong>and</strong> cy = 3 . . . . . . . . . . . . . . . . . . . 255<br />

13.1 The timed automaton Ai for process i . . . . . . . . . . . . . . . 276<br />

vii

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