Structural Reductions Revisited

Yann Thierry-Mieg (1)

1 MoVe - Modélisation et Vérification

Structural reductions are a powerful class of techniques that reason on a specification with the goal to reduce it before attempting to explore its behaviors. In this paper we present new structural reduction rules for verification of deadlock freedom and safety properties of Petri nets. These new rules are presented together with a large body of rules found in diverse literature. For some rules we leverage an SMT solver to compute if application conditions are met. We use a CEGAR approach based on progressively refining the classical state equation with new constraints, and memory-less exploration to confirm counterexamples. Extensive experimentation demonstrates the usefulness of this structural verification approach.

Domaines: Algorithme et structure de données [cs.DS]; Théorie et langage formel [cs.FL]; Modélisation et simulation

Yann Thierry-Mieg. Structural Reductions Revisited. 41ST INTERNATIONAL CONFERENCE ON APPLICATION AND THEORY OF PETRI NETS AND CONCURRENCY, Jun 2020, Paris, France. ⟨hal-02608600⟩