Taking Complete Finite Prefixes To High Level, Symbolically*

Unfoldings are a well known partial-order semantics of P/T Petri nets that can be applied to various model checking or verification problems. For high-level Petri nets, the so-called symbolic unfolding generalizes this notion. A complete finite prefix of a P/T Petri net’s unfolding contains all information to verify, e.g., reachability of markings. We unite these two concepts and define complete finite prefixes of the symbolic unfolding of high-level Petri nets. For a class of safe high-level Petri nets, we generalize the well-known algorithm by Esparza et al. for constructing small such prefixes. We evaluate this extended algorithm through a prototype implementation on four novel benchmark families. Additionally, we identify a more general class of nets with infinitely many reachable markings, for which an approach with an adapted cut-off criterion extends the complete prefix methodology, in the sense that the original algorithm cannot be applied to the P/T net represented by a high-level net.

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Publication Details

Journal
Fundamenta Informaticae
Published
2024-09-20
DOI
https://doi.org/10.3233/fi-242196
Primary Topic
Business Process Modeling and Analysis
Type
article
Field-Weighted Citation Impact
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article

Taking Complete Finite Prefixes To High Level, Symbolically*

Stefan Haar, Nick Würdemann, Thomas Chatain, Lukas Panneke
Fundamenta Informaticae
Business Process Modeling and Analysis
article

Taking Complete Finite Prefixes To High Level, Symbolically*

Stefan Haar, Nick Würdemann, Thomas Chatain, Lukas Panneke
article en

Abstract

Unfoldings are a well known partial-order semantics of P/T Petri nets that can be applied to various model checking or verification problems. For high-level Petri nets, the so-called symbolic unfolding generalizes this notion. A complete finite prefix of a P/T Petri net’s unfolding contains all information to verify, e.g., reachability of markings. We unite these two concepts and define complete finite prefixes of the symbolic unfolding of high-level Petri nets. For a class of safe high-level Petri nets, we generalize the well-known algorithm by Esparza et al. for constructing small such prefixes. We evaluate this extended algorithm through a prototype implementation on four novel benchmark families. Additionally, we identify a more general class of nets with infinitely many reachable markings, for which an approach with an adapted cut-off criterion extends the complete prefix methodology, in the sense that the original algorithm cannot be applied to the P/T net represented by a high-level net.

Fundamenta InformaticaeVol. 192(3-4)
Centre National de la Recherche Scientifique (FR), Carl von Ossietzky Universität Oldenburg (DE), Institut national de recherche en sciences et technologies du numérique (FR), Université Paris-Saclay (FR)
Openalex Percentile: Top 76%
Business Process Modeling and Analysis
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