English

Taking Complete Finite Prefixes To High Level, Symbolically

Logic in Computer Science 2026-04-08 v4 Formal Languages and Automata Theory

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.

Keywords

Cite

@article{arxiv.2311.11443,
  title  = {Taking Complete Finite Prefixes To High Level, Symbolically},
  author = {Nick Würdemann and Thomas Chatain and Stefan Haar and Lukas Panneke},
  journal= {arXiv preprint arXiv:2311.11443},
  year   = {2026}
}

Comments

This is a revised and extended version of "Nick W\"urdemann, Thomas Chatain, Stefan Haar: Taking Complete Finite Prefixes to High Level, Symbolically. Petri Nets 2023: 123-144"

R2 v1 2026-06-28T13:25:34.017Z