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An Axiomatization of the Algebra of Petri Net Concatenable Processes

An Axiomatization of the Algebra of Petri Net Concatenable Processes
An Axiomatization of the Algebra of Petri Net Concatenable Processes
The concatenable processes of a Petri net $N$ can be characterized abstractly as the arrows of a symmetric monoidal category $Pn(N)$. However, this is only a partial axiomatization, since it is based on a concrete, ad hoc chosen, category of symmetries $Sym_N$. In this paper we give a completely abstract characterization 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
0304-3975
277-296
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7

Sassone, V. (1996) An Axiomatization of the Algebra of Petri Net Concatenable Processes. Theoretical Computer Science, 170 (1-2), 277-296.

Record type: Article

Abstract

The concatenable processes of a Petri net $N$ can be characterized abstractly as the arrows of a symmetric monoidal category $Pn(N)$. However, this is only a partial axiomatization, since it is based on a concrete, ad hoc chosen, category of symmetries $Sym_N$. In this paper we give a completely abstract characterization 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: 1996
Keywords: petri nets, petri nets processes, categorical semantics, symmetric monoidal categories
Organisations: Web & Internet Science

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Local EPrints ID: 261820
URI: http://eprints.soton.ac.uk/id/eprint/261820
ISSN: 0304-3975
PURE UUID: 5cea478f-fdd8-4ae1-9c1c-63fc7328b2c4
ORCID for V. Sassone: ORCID iD orcid.org/0000-0002-6432-1482

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Date deposited: 26 Jan 2006
Last modified: 10 Sep 2024 01:40

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Author: V. Sassone ORCID iD

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