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Forward Reachability Analysis of Timed Petri Nets.

Abdulla, Parosh Aziz; Deneux, Johann; Mahata, Pritha; Nylén, Aletta

In: Yassine Lakhnech, Sergio Yovine (Eds.): Lecture Notes in Computer Science, Vol. 3253: Formal Techniques, Modelling and Analysis of Timed and Fault-Tolerant Systems: Joint International Conferences on Formal Modeling and Analysis of Timed Systmes, FORMATS 2004, and Formal Techniques in Real-Time and Fault -Tolerant Systems, FTRTFT 2004, Grenoble, France, September 22-24, 2004, pages 343-362. Springer-Verlag, 2004.

Abstract: We consider verification of safety properties for concurrent real-timed systems modelled as timed Petri nets, by performing symbolic forward reachability analysis. We introduce a formalism, called region generators for representing sets of markings of timed Petri nets. Region generators characterize downward closed sets of regions, and provide exact abstractions of sets of reachable states with respect to safety properties. We show that the standard operations needed for performing symbolic reachability analysis are computable for region generators. Since forward reachability analysis is necessarily incomplete, we introduce an acceleration technique to make the procedure terminate more often on practical examples. We have implemented a prototype for analyzing timed Petri nets and used it to verify a parameterized version of Fischer's protocol and a producer-consumer protocol. We also used the tool to extract finite-state abstractions of these protocols.

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