The University of Southampton
University of Southampton Institutional Repository

An Axiomatization of the Category of Petri Net Computations

An Axiomatization of the Category of Petri Net Computations
An Axiomatization of the Category of Petri Net Computations
We introduce the notion of strongly concatenable process as a refinement of concatenable processes which can be expressed axiomatically via a functor Qn(_) from the category of Petri nets to an appropriate category of symmetric strict monoidal categories, in the precise sense that, for each net N, the strongly concatenable processes of N are isomorphic to the arrows of Qn(N). In addition, we identify a coreflection right adjoint to Qn(_) and characterize its replete image, thus yielding an axiomatization of the category of net computations.
petri nets processes, petri nets semantics, symmetric monoidal categories
117-151
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7
Sassone, V.
df7d3c83-2aa0-4571-be94-9473b07b03e7

Sassone, V. (1998) An Axiomatization of the Category of Petri Net Computations Mathematical Structures in Computer Science, 8, pp. 117-151.

Record type: Article

Abstract

We introduce the notion of strongly concatenable process as a refinement of concatenable processes which can be expressed axiomatically via a functor Qn(_) from the category of Petri nets to an appropriate category of symmetric strict monoidal categories, in the precise sense that, for each net N, the strongly concatenable processes of N are isomorphic to the arrows of Qn(N). In addition, we identify a coreflection right adjoint to Qn(_) and characterize its replete image, thus yielding an axiomatization of the category of net computations.

PDF strong-MSCS.pdf - Other
Download (309kB)

More information

Published date: 1998
Keywords: petri nets processes, petri nets semantics, symmetric monoidal categories
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 261822
URI: http://eprints.soton.ac.uk/id/eprint/261822
PURE UUID: 8626ef7d-707f-41b3-849f-e98e8edc2ba3

Catalogue record

Date deposited: 26 Jan 2006
Last modified: 17 Aug 2017 16:35

Export record

Contributors

Author: V. Sassone

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×