Fast randomized consensus using shared memory
Journal of Algorithms
Bisimulation through probabilistic testing
Information and Computation
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
Formal Methods in System Design - Special issue on symmetry in automatic verification
Proceedings of the nineteenth annual ACM symposium on Principles of distributed computing
Multi-Terminal Binary Decision Diagrams: An Efficient DataStructure for Matrix Representation
Formal Methods in System Design
Algebric Decision Diagrams and Their Applications
Formal Methods in System Design
Verifying Randomized Byzantine Agreement
FORTE '02 Proceedings of the 22nd IFIP WG 6.1 International Conference Houston on Formal Techniques for Networked and Distributed Systems
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
Probabilistic Simulations for Probabilistic Processes
CONCUR '94 Proceedings of the Concurrency Theory
Model Checking Continuous-Time Markov Chains by Transient Analysis
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
Automated Verification of a Randomized Distributed Consensus Protocol Using Cadence SMV and PRISM
CAV '01 Proceedings of the 13th International Conference on Computer Aided Verification
Liveness with (0, 1, infty)-Counter Abstraction
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Combining Symmetry Reduction and Under-Approximation for Symbolic Model Checking
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
It Usually Works: The Temporal Logic of Stochastic Systems
Proceedings of the 7th International Conference on Computer Aided Verification
Probabilistic symbolic model checking with PRISM: a hybrid approach
International Journal on Software Tools for Technology Transfer (STTT) - Special section on tools and algorithms for the construction and analysis of systems
Probabilistic model checking in practice: case studies with PRISM
ACM SIGMETRICS Performance Evaluation Review
TACAS'05 Proceedings of the 11th international conference on Tools and Algorithms for the Construction and Analysis of Systems
PRISM: a tool for automatic verification of probabilistic systems
TACAS'06 Proceedings of the 12th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Simulation and verification for computational modelling of signalling pathways
Proceedings of the 38th conference on Winter simulation
Probabilistic model checking of complex biological pathways
Theoretical Computer Science
Using probabilistic model checking in systems biology
ACM SIGMETRICS Performance Evaluation Review
Abstraction for Stochastic Systems by Erlang's Method of Stages
CONCUR '08 Proceedings of the 19th international conference on Concurrency Theory
Distributed Markovian Bisimulation Reduction aimed at CSL Model Checking
Electronic Notes in Theoretical Computer Science (ENTCS)
Analysis of a gossip protocol in PRISM
ACM SIGMETRICS Performance Evaluation Review
A Formal Framework for User Centric Control of Probabilistic Multi-agent Cyber-Physical Systems
Computational Logic in Multi-Agent Systems
Analyzing the one dimensional Ising model by probabilistic model checking
AsiaMS '07 Proceedings of the IASTED Asian Conference on Modelling and Simulation
Bayesian statistical model checking with application to Simulink/Stateflow verification
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Bisimulation minimisation mostly speeds up probabilistic model checking
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
A symbolic algorithm for optimal Markov chain lumping
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
Three-valued abstraction for continuous-time Markov chains
CAV'07 Proceedings of the 19th international conference on Computer aided verification
Performance evaluation and model checking join forces
Communications of the ACM
Symbolic partition refinement with automatic balancing of time and space
Performance Evaluation
On the constructive orbit problem
Annals of Mathematics and Artificial Intelligence
Model checking Markov chains using Krylov subspace methods: an experience report
EPEW'10 Proceedings of the 7th European performance engineering conference on Computer performance engineering
The ins and outs of the probabilistic model checker MRMC
Performance Evaluation
Statistical model checking for cyber-physical systems
ATVA'11 Proceedings of the 9th international conference on Automated technology for verification and analysis
Computer Standards & Interfaces
Scaling probabilistic timing verification of hardware using abstractions in design source code
Proceedings of the International Conference on Formal Methods in Computer-Aided Design
Correctness issues of symbolic bisimulation computation for markov chains
MMB&DFT'10 Proceedings of the 15th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
Symmetry reduction for probabilistic model checking using generic representatives
ATVA'06 Proceedings of the 4th international conference on Automated Technology for Verification and Analysis
A model checker for hierarchical probabilistic real-time systems
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
Automated reliability estimation over partial systematic explorations
Proceedings of the 2013 International Conference on Software Engineering
Bayesian statistical model checking with application to Stateflow/Simulink verification
Formal Methods in System Design
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We present an approach for applying symmetry reduction techniques to probabilistic model checking, a formal verification method for the quantitative analysis of systems with stochastic characteristics. We target systems with a set of non-trivial, but interchangeable, components such as those which commonly arise in randomised distributed algorithms or probabilistic communication protocols. We show, for three types of probabilistic models, that symmetry reduction, similarly to the non-probabilistic case, allows verification to instead be performed on a bisimilar quotient model which may be up to factorially smaller. We then propose an efficient algorithm for the construction of the quotient model using a symbolic implementation based on multi-terminal binary decision diagrams (MTBDDs) and, using four large case studies, demonstrate that this approach offers not only a dramatic increase in the size of probabilistic model which can be quantitatively analysed but also a significant decrease in the corresponding run-times.