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Axiomatizing Petri Net Concatenable Processes

Axiomatizing Petri Net Concatenable Processes
Axiomatizing Petri Net Concatenable Processes
The concatenable processes of a Petri net $N$ can be characterized abstractly as the arrows of a symmetric monoidal category $P[N]$. Yet, this is only a partial axiomatization, since $P[N]$ is built on a concrete, ad hoc chosen, category of symmetries. In this paper we give a fully equational description of the category of concatenable processes of $N$, thus yielding an axiomatic theory of the noninterleaving behaviour of Petri nets.
petri nets, petri nets processes, categorical semantics, symmetric monoidal categories
3-540-60249-6
414-423
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7

Sassone, V. (1995) Axiomatizing Petri Net Concatenable Processes. 10th Conference on Fundamentals of Computation Theory, FCT '95.. pp. 414-423 .

Record type: Conference or Workshop Item (Paper)

Abstract

The concatenable processes of a Petri net $N$ can be characterized abstractly as the arrows of a symmetric monoidal category $P[N]$. Yet, this is only a partial axiomatization, since $P[N]$ is built on a concrete, ad hoc chosen, category of symmetries. In this paper we give a fully equational description of the category of concatenable processes of $N$, thus yielding an axiomatic theory of the noninterleaving behaviour of Petri nets.

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Published date: 1995
Venue - Dates: 10th Conference on Fundamentals of Computation Theory, FCT '95., 1995-01-01
Keywords: petri nets, petri nets processes, categorical semantics, symmetric monoidal categories
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 261952
URI: http://eprints.soton.ac.uk/id/eprint/261952
ISBN: 3-540-60249-6
PURE UUID: c029e6ca-6dfe-4694-8005-d4ced8e32005
ORCID for V. Sassone: ORCID iD orcid.org/0000-0002-6432-1482

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Date deposited: 12 Feb 2006
Last modified: 10 Sep 2024 01:40

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Author: V. Sassone ORCID iD

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