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Symbolic and Structural Model-Checking

Abstract : Brute-force model-checking consists in exhaustive exploration of the state-space of a Petri net, and meets the dreaded state-space explosion problem. In contrast, this paper shows how to solve model-checking problems using a combination of techniques that stay in complexity proportional to the size of the net structure rather than to the state-space size. We combine an SMT based over-approximation to prove that some behaviors are unfeasible, an under-approximation using memory-less sampling of runs to find witness traces or counter-examples, and a set of structural reduction rules that can simplify both the system and the property. This approach was able to win by a clear margin the model-checking contest 2020 for reachability queries as well as deadlock detection, thus demonstrating the practical effectiveness and general applicability of the system of rules presented in this paper.
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https://hal.archives-ouvertes.fr/hal-03147423
Contributor : Yann Thierry-Mieg Connect in order to contact the contributor
Submitted on : Monday, February 22, 2021 - 10:45:46 AM
Last modification on : Sunday, June 26, 2022 - 3:05:00 AM
Long-term archiving on: : Sunday, May 23, 2021 - 6:08:47 PM

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Yann Thierry-Mieg. Symbolic and Structural Model-Checking. 2021. ⟨hal-03147423⟩

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