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Symmetry Reduced Model Checking for B

Symmetry Reduced Model Checking for B
Symmetry Reduced Model Checking for B
Symmetry reduction is a technique that can help alleviate the problem of state space explosion in model checking. The idea is to verify only a subset of states from each class (orbit) of symmetric states. This paper presents a framework for symmetry reduced model checking of B machines, which verifies a unique representative from each orbit. Symmetries are induced by the deferred set; a key component of the B language. This contrasts with strategies that require the introduction of a special data type into a language, to indicate symmetry. An extended version of the graph isomorphism program, nauty, is used to detect symmetries, and the symmetry reduction package has been integrated into the ProB model checker. Relevant algorithms are presented, and experimental results illustrate the effectiveness of the method, where exponential speedups are sometimes possible.
Model Checking, B, Formal Methods, Symmetry Reduction, Logic Programming, Graph Isomorphism
0-7695-2856-2
25-34
Turner, Edd
596dae00-b3c7-4ce6-9899-c37bf2d3a0ce
Leuschel, Michael
c2c18572-66cf-4f84-ade4-218ce3afe78b
Spermann, Corinna
61aadec0-008a-4ead-8cee-b17ffb53d8e6
Butler, Michael
54b9c2c7-2574-438e-9a36-6842a3d53ed0
Turner, Edd
596dae00-b3c7-4ce6-9899-c37bf2d3a0ce
Leuschel, Michael
c2c18572-66cf-4f84-ade4-218ce3afe78b
Spermann, Corinna
61aadec0-008a-4ead-8cee-b17ffb53d8e6
Butler, Michael
54b9c2c7-2574-438e-9a36-6842a3d53ed0

Turner, Edd, Leuschel, Michael, Spermann, Corinna and Butler, Michael (2007) Symmetry Reduced Model Checking for B. First Joint IEEE/IFIP Symposium on Theoretical Aspects of Software Engineering (TASE '07), ECNU, Shanghai, China. 06 - 08 Jun 2007. pp. 25-34 .

Record type: Conference or Workshop Item (Paper)

Abstract

Symmetry reduction is a technique that can help alleviate the problem of state space explosion in model checking. The idea is to verify only a subset of states from each class (orbit) of symmetric states. This paper presents a framework for symmetry reduced model checking of B machines, which verifies a unique representative from each orbit. Symmetries are induced by the deferred set; a key component of the B language. This contrasts with strategies that require the introduction of a special data type into a language, to indicate symmetry. An extended version of the graph isomorphism program, nauty, is used to detect symmetries, and the symmetry reduction package has been integrated into the ProB model checker. Relevant algorithms are presented, and experimental results illustrate the effectiveness of the method, where exponential speedups are sometimes possible.

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More information

Published date: 2007
Additional Information: Event Dates: June 6 - 8, 2007
Venue - Dates: First Joint IEEE/IFIP Symposium on Theoretical Aspects of Software Engineering (TASE '07), ECNU, Shanghai, China, 2007-06-06 - 2007-06-08
Keywords: Model Checking, B, Formal Methods, Symmetry Reduction, Logic Programming, Graph Isomorphism
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 264161
URI: http://eprints.soton.ac.uk/id/eprint/264161
ISBN: 0-7695-2856-2
PURE UUID: 403139d6-7197-4eae-aecc-cd9a91d1445d
ORCID for Michael Butler: ORCID iD orcid.org/0000-0003-4642-5373

Catalogue record

Date deposited: 11 Jun 2007
Last modified: 15 Mar 2024 02:50

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Contributors

Author: Edd Turner
Author: Michael Leuschel
Author: Corinna Spermann
Author: Michael Butler ORCID iD

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