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Deriving Bisimulation Congruences: 2-categories vs precategories

Deriving Bisimulation Congruences: 2-categories vs precategories
Deriving Bisimulation Congruences: 2-categories vs precategories
G-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. This paper develops the theory of GRPOs further, arguing that they provide a simple and powerful basis towards a comprehensive solution. As an example, we construct GRPOs in a category of ‘bunches and wirings.’ We then examine the approach based on Milner’s precategories and Leifer’s functorial reactive systems, and show that it can be recast in a much simpler way into the 2-categorical theory of GRPOs.
bisimulation congruences, labelled transition systems, observational equivalences, coinduction principles
3-540-00897-7
409-424
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. (2003) Deriving Bisimulation Congruences: 2-categories vs precategories. Foundations of Software Science and Computation Structures, FOSSACS 2003.. pp. 409-424 .

Record type: Conference or Workshop Item (Paper)

Abstract

G-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. This paper develops the theory of GRPOs further, arguing that they provide a simple and powerful basis towards a comprehensive solution. As an example, we construct GRPOs in a category of ‘bunches and wirings.’ We then examine the approach based on Milner’s precategories and Leifer’s functorial reactive systems, and show that it can be recast in a much simpler way into the 2-categorical theory of GRPOs.

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More information

Published date: 2003
Venue - Dates: Foundations of Software Science and Computation Structures, FOSSACS 2003., 2003-01-01
Keywords: bisimulation congruences, labelled transition systems, observational equivalences, coinduction principles
Organisations: Web & Internet Science, Electronic & Software Systems

Identifiers

Local EPrints ID: 262292
URI: http://eprints.soton.ac.uk/id/eprint/262292
ISBN: 3-540-00897-7
PURE UUID: 7939ce4a-7297-4a6d-930e-622b8555d679

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Date deposited: 11 Apr 2006
Last modified: 14 Mar 2024 07:08

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Contributors

Author: V. Sassone
Author: P. Sobocinski

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