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Silvano DAL ZILIO
Automated Polyhedral Abstraction Proving

Automated Polyhedral Abstraction Proving

Verification Petri Tools Reductron Reductions
Table of Contents

Nicolas Amat, Silvano Dal Zilio, Didier Le Botlan
In Petri nets 2023 — 44th International Conference on Application and Theory of Petri Nets and Concurrency, jun 2023.

conference paper

 DOI〈10.1007/978-3-031-33620-1_18〉  HAL-04115006

Abstract
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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 formulas whose satisfaction implies that the equivalence holds. The difficulty, in this context, arises from the fact that we need to handle infinite-state systems. For completeness, we exploit a connection with a class of Petri nets that have Presburger-definable reachability sets. We have implemented our procedure, and we illustrate its use on several examples.

References
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  • An extended version of this paper appears in Fundamenta Informaticae, 192 (3-4), 2024.  Link

Citation
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@InProceedings{DalzilioS:petri2023autpolyprove,
   author    = {Amat, Nicolas and {Dal Zilio}, Silvano and {Le Botlan}, Didier},
   title     = {{Automated Polyhedral Abstraction Proving}},
   booktitle = {Petri nets 2023 -- 44th International Conference on Application and Theory of Petri Nets and Concurrency},
   series    = {Lecture Notes in Computer Science},
   volume    = {13929},
   publisher = {Springer-Verlag},
   doi = {10.1007/978-3-031-33620-1_18},
   pages     = {324--345},
   month     = jun, 
   year      = 2023
}