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18117 Isomorphism Checking for Symmetry Reduction
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Rensink, A. (2010) Isomorphism Checking for Symmetry Reduction. Technical Report TR-CTIT-10-27, Centre for Telematics and Information Technology University of Twente, Enschede. ISSN 1381-3625

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Abstract

In this paper, we show how isomorphism checking can be used as an effective technique for symmetry reduction. Reduced state spaces are equivalent to the original ones under a strong notion of bisimilarity which preserves the multiplicity of outgoing transitions, and therefore also preserves stochastic temporal logics. We have implemented this in a setting where states are arbitrary graphs. Since no efficiently computable canonical representation is known for arbitrary graphs modulo isomorphism, we define an isomorphism-predicting hash function on the basis of an existing partition refinement algorithm. As an example, we report a factorial state space reduction on a model of an ad-hoc network connectivity protocol.

Item Type:Internal Report (Technical Report)
Research Group:EWI-FMT: Formal Methods and Tools
Research Program:CTIT-DSN: Dependable Systems and Networks
Research Project:GRAIL: Graphs for the Abstract Interpretation of Languages
ID Code:18117
Deposited On:16 July 2010
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