Nicolas Amat ; Bernard Berthomieu ; Silvano Dal Zilio - A Polyhedral Abstraction for Petri nets and its Application to SMT-Based Model Checking

fi:8831 - Fundamenta Informaticae, October 21, 2022, Volume 187, Issues 2-4: Petri Nets 2021
A Polyhedral Abstraction for Petri nets and its Application to SMT-Based Model Checking

Authors: Nicolas Amat ; Bernard Berthomieu ; Silvano Dal Zilio

    We define a new method for taking advantage of net reductions in combination with a SMT-based model checker. Our approach consists in transforming a reachability problem about some Petri net, into the verification of an updated reachability property on a reduced version of this net. This method relies on a new state space abstraction based on systems of constraints, called polyhedral abstraction. We prove the correctness of this method using a new notion of equivalence between nets. We provide a complete framework to define and check the correctness of equivalence judgements; prove that this relation is a congruence; and give examples of basic equivalence relations that derive from structural reductions. Our approach has been implemented in a tool, named SMPT, that provides two main procedures: Bounded Model Checking (BMC) and Property Directed Reachability (PDR). Each procedure has been adapted in order to use reductions and to work with arbitrary Petri nets. We tested SMPT on a large collection of queries used in the Model Checking Contest. Our experimental results show that our approach works well, even when we only have a moderate amount of reductions.


    Volume: Volume 187, Issues 2-4: Petri Nets 2021
    Published on: October 21, 2022
    Accepted on: July 4, 2022
    Submitted on: December 13, 2021
    Keywords: Computer Science - Logic in Computer Science

    Share

    Consultation statistics

    This page has been seen 15 times.
    This article's PDF has been downloaded 10 times.