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Functorial Semantics for Petri Nets under the Individual Token Philosophy

Bruni, R., Meseguer, J., Montanari, U. and Sassone, V. (1999) Functorial Semantics for Petri Nets under the Individual Token Philosophy At Category Theory and Computer Science, CTCS '99.. , 18 pp..

Record type: Conference or Workshop Item (Paper)

Abstract

Although the algebraic semantics of place/transition Petri nets under the collective token philosophy has been fully explained in terms of (strictly) symmetric (strict) monoidal categories, the analogous construction under the individual token philosophy is not completely satisfactory because it lacks universality and also functoriality. We introduce the notion of pre-net to recover these aspects, obtaining a fully satisfactory categorical treatment centered on the notion of adjunction. This allows us to present a purely logical description of net behaviours under the individual token philosophy in terms of theories and theory morphisms in partial membership equational logic, yielding a complete match with the theory developed by the authors for the collective token view of nets

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More information

Published date: 1999
Venue - Dates: Category Theory and Computer Science, CTCS '99., 1999-01-01
Keywords: petri nets processes, petri nets semantics, collective token philosophy, individual token philosophy
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 261958
URI: http://eprints.soton.ac.uk/id/eprint/261958
PURE UUID: 3f277513-2bb4-49fa-ba7b-319b5145bd35

Catalogue record

Date deposited: 13 Feb 2006
Last modified: 18 Jul 2017 08:56

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Contributors

Author: R. Bruni
Author: J. Meseguer
Author: U. Montanari
Author: V. Sassone

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