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

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.

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Citation

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.

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

Identifiers

Local EPrints ID: 261872
URI: http://eprints.soton.ac.uk/id/eprint/261872
PURE UUID: 745205e0-a2c4-4e9b-8ba1-3742d5cf3b2a

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

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Contributors

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

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