Petri nets

On the Complexity of Proving Polyhedral Reductions

We propose an automated procedure to prove polyhedral abstractions for Petri nets. Polyhedral abstraction is a new type of state space equivalence, between Petri nets, based on the use of linear integer constraints between the marking of places. In …

Project and Conquer: Fast Quantifier Elimination for Checking Petri Net Reachability

We propose a method for checking generalized reachability properties in Petri nets that takes advantage of structural reductions and that can be used, transparently, as a pre-processing step of existing model-checkers. Our approach is based on a new …

Automated Polyhedral Abstraction Proving

We propose an automated procedure to prove polyhedral abstractions for Petri nets. Polyhedral abstraction is a new type of state-space equivalence based on the use of linear integer constraints. Our approach relies on an encoding into a set of SMT …

SMPT: A Testbed for Reachability Methods in Generalized Petri Nets

SMPT (for Satisfiability Modulo Petri Net) is a model checker for reachability problems in Petri nets. It started as a portfolio of methods to experiment with symbolic model checking, and was designed to be easily extended. Some distinctive features …

Leveraging polyhedral reductions for solving Petri net reachability problems

We propose a new method that takes advantage of structural reductions to accelerate the verification of reachability properties on Petri nets. Our approach relies on a state space abstraction, called polyhedral abstraction, which involves a …

A Polyhedral Abstraction for Petri nets and its Application to SMT-Based Model Checking

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 …

Kong: a Tool to Squash Concurrent Places

Kong, the Koncurrent places Grinder, is a tool designed to compute the concurrency relation of a Petri net by taking advantage of structural reductions. The specificity of Kong is to rely on a state space abstraction, called polyhedral abstraction in …

Property Directed Reachability for Generalized Petri Nets

We propose a semi-decision procedure for checking generalized reachability properties, on generalized Petri nets, that is based on the Property Directed Reachability (PDR) method. We actually define three different versions, that vary depending on …

Accelerating the Computation of Dead and Concurrent Places Using Reductions

We propose a new method for accelerating the computation of a concurrency relation, that is all pairs of places in a Petri net that can be marked together. Our approach relies on a state space abstraction, that involves a mix between structural …