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arXiv · 2602.11203

Compositionality of Systems and Partially Ordered Runs

Peter Fettke·Wolfgang Reisig
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Abstract

In the late 1970s, C.A. Petri introduced partially ordered event occurrences (runs), then called \emph{processes}, as the appropriate model to describe the individual evolutions of distributed systems. Here, we present a unified framework for handling Petri nets and their runs, specifically to compose and decompose them. It is shown that, for nets $M$ and $N$, the set of runs of the composed net $M \bullet N$ equals the composition of the runs of $M$ and $N$.

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Peter Fettke, Wolfgang Reisig. 2026-02-06. Compositionality of Systems and Partially Ordered Runs. https://arxiv.org/abs/2602.11203

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