PDF-From Time Petri Nets to Timed Automata Franck Cassez and Olivier H

Roux Institut de Recherche en Communication et Cybern57577tique de N antes IRCCyN France 1 Introduction In this chapter we introduce a formalism Time Petri Nets TPNs to model realtime systems We compare it with another wellknown formalism Timed Aut. 5 PETRI NETS Consider the computer program shown in Figure 851 Normally the instruc tions would be processed sequentially64257rst 1 then 2 and so on However notice that there is no logical reason that pre Sp eci64257cation Veri64257cation ENS Cachan CNRS UMR 8643 France daprilesusisproston diunitoit sangnierlsvenscachanfr Abstract Time Petri Nets TPN and Timed Automata TA are widelyused for malisms for the modeling and analysis of timed systems A r A Petri net consists of places transitions and arcs that connect them Input arcs connect places with transitions while output arcs start at a transition and end at a place Places can contain tokens the current state of the modeled system the mark THEORY. II B. Questions Answers(DFA-NFA) . Dept. of Computer Science & IT, FUUAST Automata Theory . 2. Automata Theory II B. For .  = {a, b} construct DFA that accepts all strings with exactly one ‘a’ .. Prof. . O. . Nierstrasz. Roadmap. Definition:. places, transitions, inputs, outputs. firing enabled transitions. Modelling:. concurrency and synchronization. Properties of nets:. liveness, boundedness. THEORY. VII. Dept. of Computer Science & IT, FUUAST Automata Theory . 2. Automata Theory VII. Properties of Context-Free Languages. Dept. of Computer Science & IT, FUUAST Automata Theory . Nick Russell. Arthur H. M. . ter. . Hofstede. Acknowledgement. These slides . summarize the content of Chapter 2 of the book:. A.H.M. ter Hofstede, W. van der Aalst, M. Adams, N. Russell.. Modern . Business Process . Zhe. Dang. Dmitry . Dementyev. Thomas R. Fischer. William J. Hutton, III. Washington State University – Pullman, WA USA. Overview. Introduction. Mathematical foundation for computer security. The “CIA” triad. THEORY. V. Dept. of Computer Science & IT, FUUAST Automata Theory . 2. Automata Theory V. Context-Free Grammars. and . Languages. A . 29-September-2011. Modeling Temporal Behavior of Component. Component behaves with Environment. Traditional (pessimistic) approach. Environment is free to behave as it wants to. Two components are compatible if . . Characterization. of. Context-Free. . Trace. . Languages. Benedek Nagy. Friedrich Otto. Department. of Computer Science . Fachbereich. . Elektrotechnik. /. Informatik. Faculty. of . By. Chris Ling. (C) Copyright 2001, Chris Ling. Introduction. First introduced by Carl Adam Petri in 1962.. A diagrammatic tool to model concurrency and synchronization in distributed systems.. Used as a visual communication aid to model the system behaviour.. Systems. Model Checking Timed Automata . Sayan. . Mitra. Lecture 09. What we have seen so far . A very general modeling framework (Lynch et al.’s Hybrid Automata[1]) . Complex discrete dynamics. Possibly nonlinear continuous dynamics. On Acting. Dane Ralph. Shonagh Smith. Diana . Goshorn. Christian Haddad. The Beginning. Laurence Olivier was born and died in England.. Fell in love with theatre at age 9 when he portrayed Brutus in a school production..