Recent and simple algorithms for Petri nets

Abstract

We show how inductive invariants can be used to solve coverability, boundedness and reachability problems for Petri nets. This approach provides algorithms that are conceptually simpler than previously published ones.

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Notes

  1. 1.

    Words that can be iterated are denoted with the letter \(\sigma \).

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Acknowledgments

We thank Pierre McKenzie and Wolfgang Reisig for their careful reading of the paper.

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Correspondence to Alain Finkel.

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This work is supported by the french Agence Nationale de la Recherche, REACHARD (Grant ANR-11-BS02-001) and by the “Chaire DIGITEO-ENS CACHAN—ECOLE POLYTECHNIQUE”.

Communicated by Dr. Wolfgang Reisig.

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Finkel, A., Leroux, J. Recent and simple algorithms for Petri nets. Softw Syst Model 14, 719–725 (2015). https://doi.org/10.1007/s10270-014-0426-0

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Keywords

  • Petri nets
  • Verification of reachability properties
  • Simple algorithms