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Petri Nets and Higher-Dimensional Automata

2025/02/04 by Amazigh Amrane, Amrane, Amazigh, Hugo Bazille +7
Biochemistry, Genetics and Molecular Biology · Business, Management and Accounting · Computer Science · #Business Process Modeling and Analysis #DNA and Biological Computing #FOS: Computer and information sciences #Logic in Computer Science (cs.LO) #Petri Nets in System Modeling

paper · pdf · doi:10.48550/arxiv.2502.02354

openalex publication_date 2025/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Petri nets and their variants are often considered through their interleaved semantics, i.e. considering executions where, at each step, a single transition fires. This is clearly a miss, as Petri nets are a true concurrency model. This paper revisits the semantics of Petri nets as higher-dimensional automata (HDAs) as introduced by van Glabbeek, which methodically take concurrency into account. We extend the translation to include some common features. We consider nets with inhibitor arcs, under both concurrent semantics used in the literature, and generalized self-modifying nets. Finally, we present a tool that implements our translations.

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