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Locating Reactions using 2-Categories

Record type: Article

Groupoidal relative pushouts (GRPOs) have recently been proposed by the authors as a new foundation for Leifer and Milner's approach to deriving labelled bisimulation congruences from reduction systems. In this paper, we develop the theory of GRPOs further, proving that well-known equivalences, other than bisimulation, are congruences. To demonstrate the type of category theoretic arguments which are inherent in the 2-categorical approach, we construct GRPOs in a category of 'bunches and wirings.' Finally, we prove that the 2-categorical theory of GRPOs is a generalisation of the approaches based on Milner's precategories and Leifer's functorial reactive systems.

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Citation

Sassone, V. and Sobocinski, P. (2005) Locating Reactions using 2-Categories Theoretical Computer Science, 333, (1-2), pp. 297-327.

More information

Published date: 2005
Keywords: bisimulation congruences, reduction systems, transition systems, coinduction principles, bigraphs, bunches, 2-categories, bicategories
Organisations: Web & Internet Science, Electronic & Software Systems

Identifiers

Local EPrints ID: 261842
URI: http://eprints.soton.ac.uk/id/eprint/261842
ISSN: 0304-3975
PURE UUID: 5ca4cf73-12f3-4cc6-99e7-f06e3b0aea01

Catalogue record

Date deposited: 27 Jan 2006
Last modified: 18 Jul 2017 08:58

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Contributors

Author: V. Sassone
Author: P. Sobocinski

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