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arXiv · 2601.18004

Persistent Permutability in Choice Petri Nets

Eike Best·Raymond Devillers
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Abstract

Persistence is a strong, global, behavioural property of a Petri net, meaning that no activity can disable a different activity. Persistent permutability is a weaker property, pertaining to individual interleavings of a Petri net and stating that a non-persistent sequence can be permuted into a persistent one. We identify Petri net classes for which persistent permutability already suffices to imply overall persistence. These classes generalise free-choice nets and are related to Petri's concept of ``confusion'', while they are distinguished from each other by diverse restrictions on the choice structure of a net. We prove Ochmanski's conjecture to be correct for these classes.

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Eike Best, Raymond Devillers. 2026-01-25. Persistent Permutability in Choice Petri Nets. https://arxiv.org/abs/2601.18004

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