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Efficient reachability graph representation of Petri nets with unbounded counters

Abstract : In this paper, we define a class of Petri nets, called Petri nets with counters, that can be seen as place/transition Petri nets enriched with a vector of integer variables on which linear operations may be applied. Their semantics usually leads to huge or infinite reachability graphs. Then, a more compact representation for this semantics is defined as a symbolic state graph whose nodes possibly encode infinitely many values for the variables. Both representations are shown behaviourally equivalent.
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https://hal.archives-ouvertes.fr/hal-00340494
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Submitted on : Wednesday, October 9, 2019 - 6:01:30 PM
Last modification on : Tuesday, February 15, 2022 - 11:24:03 AM

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Franck Pommereau, Raymond Devillers, Hanna Klaudel. Efficient reachability graph representation of Petri nets with unbounded counters. 9th International Workshops on Verification of Infinite-State Systems (INFINITY 2007), Sep 2007, Lisbon, Portugal. pp.119--129, ⟨10.1016/j.entcs.2009.05.034⟩. ⟨hal-00340494⟩

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