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arXiv · 1211.6194

A Forward Reachability Algorithm for Bounded Timed-Arc Petri Nets

Alexandre David·Lasse Jacobsen·Morten Jacobsen·Jiří Srba
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Abstract

Timed-arc Petri nets (TAPN) are a well-known time extension of the Petri net model and several translations to networks of timed automata have been proposed for this model. We present a direct, DBM-based algorithm for forward reachability analysis of bounded TAPNs extended with transport arcs, inhibitor arcs and age invariants. We also give a complete proof of its correctness, including reduction techniques based on symmetries and extrapolation. Finally, we augment the algorithm with a novel state-space reduction technique introducing a monotonic ordering on markings and prove its soundness even in the presence of monotonicity-breaking features like age invariants and inhibitor arcs. We implement the algorithm within the model-checker TAPAAL and the experimental results document an encouraging performance compared to verification approaches that translate TAPN models to UPPAAL timed automata.

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Alexandre David, Lasse Jacobsen, Morten Jacobsen, Jiří Srba. 2012-11-27. A Forward Reachability Algorithm for Bounded Timed-Arc Petri Nets. https://doi.org/10.4204/eptcs.102.12

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