The University of Southampton
University of Southampton Institutional Repository

ω-Inductive completion of monoidal categories and infinite petri net computations

Meseguer, J., Montanari, U. and Sassone, V. (1993) ω-Inductive completion of monoidal categories and infinite petri net computations At Workshop on Topology and Completion in Semantics, France. 51 pp.

Record type: Conference or Workshop Item (Paper)


There exists a KZ-doctrine on the 2-category of the locally small categories whose algebras are exactly the categories which admits all the colimits indexed by ω-chains. The paper presents a wide survey of this topic. In addition, we show that this chain cocompletion KZ-doctrine lifts smoothly to KZ-doctrines on (many variations of) the 2-categories of monoidal and symmetric monoidal categories, thus yielding a universal construction of colimits of ω-chains in those categories. Since the processes of Petri nets may be axiomatized in terms of symmetric monoidal categories this result provides a universal construction of the algebra of infinite processes of a Petri net.

PDF w-ind-compl.pdf - Other
Download (608kB)

More information

Published date: 1993
Additional Information: Event Dates: 1993
Venue - Dates: Workshop on Topology and Completion in Semantics, France, 1993-01-01
Keywords: petri nets semantics, infinite computations, symmetric monoidal categories, omega inductive completion of categories
Organisations: Web & Internet Science


Local EPrints ID: 261872
PURE UUID: 745205e0-a2c4-4e9b-8ba1-3742d5cf3b2a

Catalogue record

Date deposited: 28 Jan 2006
Last modified: 18 Jul 2017 08:57

Export record


Author: J. Meseguer
Author: U. Montanari
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 supports OAI 2.0 with a base URL of

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.