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Nordic Journal of Computing Using Forward Reachability Analysis for Verification of

Summary: Nordic Journal of Computing
Using Forward Reachability Analysis for Verification of
Timed Petri Nets
Parosh Aziz Abdulla, Johann Deneux, Pritha Mahata and Aletta NylŽen
Uppsala University, Sweden
Abstract. We consider verification of safety properties for concurrent real-timed sys-
tems 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, Lynch and Shavit's
mutual exclusion protocol and a producer-consumer protocol. We also used the tool to
extract finite-state abstractions of these protocols.
Key words: Timed Petri Nets, Model Checking, Reachability Analysis, Downward Closed


Source: Abdulla, Parosh Aziz - Department of Information Technology, Uppsala Universitet


Collections: Computer Technologies and Information Sciences