English

Relating Reversible Petri Nets and Reversible Event Structures, categorically

Logic in Computer Science 2025-06-11 v6 Formal Languages and Automata Theory

Abstract

Causal nets (CNs) are Petri nets where causal dependencies are modelled via inhibitor arcs. They play the role of occurrence nets when representing the behaviour of a concurrent and distributed system, even when reversibility is considered. In this paper we extend CNs to account also for asymmetric conflicts and study (i) how this kind of nets, and their reversible versions, can be turned into a category; and (ii) their relation with the categories of reversible asymmetric event structures.

Keywords

Cite

@article{arxiv.2302.14195,
  title  = {Relating Reversible Petri Nets and Reversible Event Structures, categorically},
  author = {Hernán Melgratti and Claudio Antares Mezzina and G. Michele Pinna},
  journal= {arXiv preprint arXiv:2302.14195},
  year   = {2025}
}
R2 v1 2026-06-28T08:51:13.388Z