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Deriving Bisimulation Congruences: A 2-Categorical Approach

Deriving Bisimulation Congruences: A 2-Categorical Approach
Deriving Bisimulation Congruences: A 2-Categorical Approach
We introduce G-relative-pushouts (GRPO) which are a 2-categorical generalisation of relative-pushouts (RPO). They are suitable for deriving labelled transition systems (LTS) for process calculi where terms are viewed modulo structural congruence. We develop their basic properties and show that bisimulation on the LTS derived via GRPOs is a congruence, provided that sufficiently many GRPOs exist. The theory is applied to a simple subset of CCS and the resulting LTS is compared to one derived using a procedure proposed by Sewell.
bisimulation congruences, observational equivalences, labelled transition systems, 2-categories, relative pushouts
19 pp.
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. (2002) Deriving Bisimulation Congruences: A 2-Categorical Approach At 9th Int. Workshop on Expressiveness in Concurrency, EXPRESS 2002.. , 19 pp..

Record type: Conference or Workshop Item (Paper)

Abstract

We introduce G-relative-pushouts (GRPO) which are a 2-categorical generalisation of relative-pushouts (RPO). They are suitable for deriving labelled transition systems (LTS) for process calculi where terms are viewed modulo structural congruence. We develop their basic properties and show that bisimulation on the LTS derived via GRPOs is a congruence, provided that sufficiently many GRPOs exist. The theory is applied to a simple subset of CCS and the resulting LTS is compared to one derived using a procedure proposed by Sewell.

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More information

Published date: 2002
Venue - Dates: 9th Int. Workshop on Expressiveness in Concurrency, EXPRESS 2002., 2002-01-01
Keywords: bisimulation congruences, observational equivalences, labelled transition systems, 2-categories, relative pushouts
Organisations: Web & Internet Science, Electronic & Software Systems

Identifiers

Local EPrints ID: 262290
URI: http://eprints.soton.ac.uk/id/eprint/262290
PURE UUID: 49d5d560-c6c7-4852-9679-f7d43c52f120

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Date deposited: 11 Apr 2006
Last modified: 18 Jul 2017 08:52

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Contributors

Author: V. Sassone
Author: P. Sobocinski

University divisions

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