The drinking philosophers problem
ACM Transactions on Programming Languages and Systems (TOPLAS) - Lecture notes in computer science Vol. 174
High-level Petri nets: theory and application
High-level Petri nets: theory and application
Better verification through symmetry
Formal Methods in System Design - Special issue on symmetry in automatic verification
Exploiting symmetry in temporal logic model checking
Formal Methods in System Design - Special issue on symmetry in automatic verification
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ACM Transactions on Programming Languages and Systems (TOPLAS)
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TACAS '98 Proceedings of the 4th International Conference on Tools and Algorithms for Construction and Analysis of Systems
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TACAs '96 Proceedings of the Second International Workshop on Tools and Algorithms for Construction and Analysis of Systems
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Proceedings of the 5th Colloquium on International Symposium on Programming
Symbolic Reachability Graph and Partial Symmetries
Proceedings of the 16th International Conference on Application and Theory of Petri Nets
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CAV '97 Proceedings of the 9th International Conference on Computer Aided Verification
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Logic of Programs, Workshop
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CAV '01 Proceedings of the 13th International Conference on Computer Aided Verification
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ACM Transactions on Programming Languages and Systems (TOPLAS)
Symmetry in temporal logic model checking
ACM Computing Surveys (CSUR)
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Formal Methods in System Design
A Representative Function Approach to Symmetry Exploitation for CSP Refinement Checking
ICFEM '08 Proceedings of the 10th International Conference on Formal Methods and Software Engineering
Automatic Symmetry Detection for Promela
Journal of Automated Reasoning
Extending Symmetry Reduction by Exploiting System Architecture
VMCAI '09 Proceedings of the 10th International Conference on Verification, Model Checking, and Abstract Interpretation
Symbolic Counter Abstraction for Concurrent Software
CAV '09 Proceedings of the 21st International Conference on Computer Aided Verification
Finding Symmetry in Models of Concurrent Systems by Static Channel Diagram Analysis
Electronic Notes in Theoretical Computer Science (ENTCS)
FMICS'06/PDMC'06 Proceedings of the 11th international workshop, FMICS 2006 and 5th international workshop, PDMC conference on Formal methods: Applications and technology
CAV'07 Proceedings of the 19th international conference on Computer aided verification
Context-aware counter abstraction
Formal Methods in System Design
VMCAI'06 Proceedings of the 7th international conference on Verification, Model Checking, and Abstract Interpretation
Identification and counter abstraction for full virtual symmetry
CHARME'05 Proceedings of the 13 IFIP WG 10.5 international conference on Correct Hardware Design and Verification Methods
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
Employing symmetry reductions in model checking
Computer Languages, Systems and Structures
A complete method for symmetry reduction in safety verification
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
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We provide a general method for ameliorating state explosion via symmetry reduction in certain asymmetric systems, such as systems with many similar, but not identical, processes. The method applies to systems whose structures (i.e., state transition graphs) have more state symmetries than arc symmetries. We introduce a new notion of 驴virtual symmetry驴 that strictly subsumes earlier notions of 驴rough symmetry驴 and 驴near symmetry驴 [ET99]. Virtual symmetry is the most general condition under which the structure of a system is naturally bisimilar to its quotient by a group of state symmetries.We give several example systems exhibiting virtual symmetry that are not amenable to symmetry reduction by earlier techniques: a one-lane bridge system, where the direction with priority for crossing changes dynamically; an abstract system with asymmetric communication network; and a system with asymmetric resource sharing motivated from the drinking philosophers problem. These examples show that virtual symmetry reduction applies to a significantly broader class of asymmetric systems than could be handled before.