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A Congruence for Petri Nets

A Congruence for Petri Nets
A Congruence for Petri Nets
We introduce a way of viewing Petri nets as open systems. This is done by considering a bicategory of cospans over a category of p/t nets and embeddings. We derive a labelled transition system (LTS) semantics for such nets using GIPOs and characterise the resulting congruence. Technically, our results are similar to the recent work by Milner on applying the theory of bigraphs to Petri Nets. The two main differences are that we treat p/t nets instead of c/e nets and we deal directly with a category of nets instead of encoding them into bigraphs.
petri nets, contextual congruences, bisimulation congruences, observational equivalences, bicategories, grpos
doi:10.1016/j.entcs.2005.02.008
107-120
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7
Sobocinski, P.
439334ab-2826-447b-9fe5-3928be3fd4fd
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7
Sobocinski, P.
439334ab-2826-447b-9fe5-3928be3fd4fd

Sassone, V. and Sobocinski, P. (2005) A Congruence for Petri Nets At International Workshop on Petri Nets and Graph Transformations.. , pp. 107-120.

Record type: Conference or Workshop Item (Paper)

Abstract

We introduce a way of viewing Petri nets as open systems. This is done by considering a bicategory of cospans over a category of p/t nets and embeddings. We derive a labelled transition system (LTS) semantics for such nets using GIPOs and characterise the resulting congruence. Technically, our results are similar to the recent work by Milner on applying the theory of bigraphs to Petri Nets. The two main differences are that we treat p/t nets instead of c/e nets and we deal directly with a category of nets instead of encoding them into bigraphs.

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More information

Published date: 2005
Venue - Dates: International Workshop on Petri Nets and Graph Transformations., 2005-01-01
Keywords: petri nets, contextual congruences, bisimulation congruences, observational equivalences, bicategories, grpos
Organisations: Web & Internet Science, Electronic & Software Systems

Identifiers

Local EPrints ID: 262302
URI: http://eprints.soton.ac.uk/id/eprint/262302
ISBN: doi:10.1016/j.entcs.2005.02.008
PURE UUID: ea5e73cb-10f5-4cb1-8ee2-267bbcb559c4

Catalogue record

Date deposited: 11 Apr 2006
Last modified: 18 Jul 2017 08:52

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Contributors

Author: V. Sassone
Author: P. Sobocinski

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