Artificial intelligence: a modern approach
Artificial intelligence: a modern approach
Better verification through symmetry
Formal Methods in System Design - Special issue on symmetry in automatic verification
Model checking
SMC: a symmetry-based model checker for verification of safety and liveness properties
ACM Transactions on Software Engineering and Methodology (TOSEM)
From Asymmetry to Full Symmetry: New Techniques for Symmetry Reduction in Model Checking
CHARME '99 Proceedings of the 10th IFIP WG 10.5 Advanced Research Working Conference on Correct Hardware Design and Verification Methods
Groups and Constraints: Symmetry Breaking during Search
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Symmetry Reductions inModel Checking
CAV '98 Proceedings of the 10th International Conference on Computer Aided Verification
Exploiting structure in symmetry detection for CNF
Proceedings of the 41st annual Design Automation Conference
Spin model checker, the: primer and reference manual
Spin model checker, the: primer and reference manual
A light-weight algorithm for model checking with symmetry reduction and weak fairness
SPIN'03 Proceedings of the 10th international conference on Model checking software
Automatic symmetry detection for model checking using computational group theory
FM'05 Proceedings of the 2005 international conference on Formal Methods
TACAS'05 Proceedings of the 11th international conference on Tools and Algorithms for the Construction and Analysis of Systems
A computational group theoretic symmetry reduction package for the SPIN model checker
AMAST'06 Proceedings of the 11th international conference on Algebraic Methodology and Software Technology
Extending Symmetry Reduction Techniques to a Realistic Model of Computation
Electronic Notes in Theoretical Computer Science (ENTCS)
The High Road to Formal Validation
ABZ '08 Proceedings of the 1st international conference on Abstract State Machines, B and Z
Automatic Symmetry Detection for Promela
Journal of Automated Reasoning
Electronic Notes in Theoretical Computer Science (ENTCS)
Efficient approximate verification of Promela models via symmetry markers
ATVA'07 Proceedings of the 5th international conference on Automated technology for verification and analysis
On the constructive orbit problem
Annals of Mathematics and Artificial Intelligence
Context-aware counter abstraction
Formal Methods in System Design
Efficient approximate verification of B and Z models via symmetry markers
Annals of Mathematics and Artificial Intelligence
Symmetry reduction for probabilistic model checking using generic representatives
ATVA'06 Proceedings of the 4th international conference on Automated Technology for Verification and Analysis
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Symmetry reduction techniques can help to combat the state space explosion problem for model checking, but are restricted by the hard problem of determining equivalence of states during search. Consequently, existing symmetry reduction packages can only exploit full symmetry between system components, as checking the equivalence of states is straightforward in this special case. We present a framework for symmetry reduction with an arbitrary group of structural symmetries. By generalising existing techniques for efficiently exploiting symmetry, and introducing an approximate strategy for use with groups for which fast, exact strategies are not available, our approach allows for significant state-space reduction with minimal time overhead. We show how computational group theoretic techniques can be used to analyse the structure of a symmetry group so that an appropriate symmetry reduction strategy can be chosen, and we describe a symmetry reduction package for the Spin model checker which interfaces with the computational algebra system Gap. Experimental results on a variety of Promela models illustrate the effectiveness of our methods.