Bisimulation through probabilistic testing
Information and Computation
The complexity of probabilistic verification
Journal of the ACM (JACM)
Synthesizing Monitors for Safety Properties
TACAS '02 Proceedings of the 8th International Conference on Tools and Algorithms for the Construction and Analysis of Systems
Probabilistic Verification of Discrete Event Systems Using Acceptance Sampling
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Model-Checking Algorithms for Continuous-Time Markov Chains
IEEE Transactions on Software Engineering
PRISM 2.0: A Tool for Probabilistic Model Checking
QEST '04 Proceedings of the The Quantitative Evaluation of Systems, First International Conference
Graphical rule-based representation of signal-transduction networks
Proceedings of the 2005 ACM symposium on Applied computing
Verification and planning for stochastic processes with asynchronous events
Verification and planning for stochastic processes with asynchronous events
Towards formal verification of analog designs
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
VESTA: A Statistical Model-checker and Analyzer for Probabilistic Systems
QEST '05 Proceedings of the Second International Conference on the Quantitative Evaluation of Systems
Numerical vs. statistical probabilistic model checking
International Journal on Software Tools for Technology Transfer (STTT)
LiQuor: A tool for Qualitative and Quantitative Linear Time analysis of Reactive Systems
QEST '06 Proceedings of the 3rd international conference on the Quantitative Evaluation of Systems
Statistical probabilistic model checking with a focus on time-bounded properties
Information and Computation
Probabilistic abstraction for model checking: An approach based on property testing
ACM Transactions on Computational Logic (TOCL)
Principles of Model Checking (Representation and Mind Series)
Principles of Model Checking (Representation and Mind Series)
The temporal logic of programs
SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
Automatic verification of probabilistic concurrent finite state programs
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
CMSB '08 Proceedings of the 6th International Conference on Computational Methods in Systems Biology
HVC '08 Proceedings of the 4th International Haifa Verification Conference on Hardware and Software: Verification and Testing
The Ins and Outs of the Probabilistic Model Checker MRMC
QEST '09 Proceedings of the 2009 Sixth International Conference on the Quantitative Evaluation of Systems
Simulation-Based CTMC Model Checking: An Empirical Evaluation
QEST '09 Proceedings of the 2009 Sixth International Conference on the Quantitative Evaluation of Systems
Statistical Model Checking Using Perfect Simulation
ATVA '09 Proceedings of the 7th International Symposium on Automated Technology for Verification and Analysis
A Statistical Approach to Test Stochastic and Probabilistic Systems
ICFEM '09 Proceedings of the 11th International Conference on Formal Engineering Methods: Formal Methods and Software Engineering
How fast and fat is your probabilistic model checker? an experimental performance comparison
HVC'07 Proceedings of the 3rd international Haifa verification conference on Hardware and software: verification and testing
On simulation-based probabilistic model checking of mixed-analog circuits
Formal Methods in System Design
Monitoring of real-time properties
FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
TACAS'05 Proceedings of the 11th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Error control for probabilistic model checking
VMCAI'06 Proceedings of the 7th international conference on Verification, Model Checking, and Abstract Interpretation
Probabilistic verification for “black-box” systems
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
On statistical model checking of stochastic systems
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
Ymer: a statistical model checker
CAV'05 Proceedings of the 17th international conference on Computer Aided Verification
ICFEM'11 Proceedings of the 13th international conference on Formal methods and software engineering
ACM Transactions on Software Engineering and Methodology (TOSEM)
Coupling and importance sampling for statistical model checking
TACAS'12 Proceedings of the 18th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Statistical model checking, refinement checking, optimization, … for stochastic hybrid systems
FORMATS'12 Proceedings of the 10th international conference on Formal Modeling and Analysis of Timed Systems
Runtime verification of biological systems
ISoLA'12 Proceedings of the 5th international conference on Leveraging Applications of Formal Methods, Verification and Validation: technologies for mastering change - Volume Part I
Learning stochastic timed automata from sample executions
ISoLA'12 Proceedings of the 5th international conference on Leveraging Applications of Formal Methods, Verification and Validation: technologies for mastering change - Volume Part I
Schedulability of herschel-planck revisited using statistical model checking
ISoLA'12 Proceedings of the 5th international conference on Leveraging Applications of Formal Methods, Verification and Validation: applications and case studies - Volume Part II
A simulink hybrid heart model for quantitative verification of cardiac pacemakers
Proceedings of the 16th international conference on Hybrid systems: computation and control
Combining model checking and testing with an application to reliability prediction and distribution
Proceedings of the 2013 International Symposium on Software Testing and Analysis
A compositional modelling and analysis framework for stochastic hybrid systems
Formal Methods in System Design
| Hi-index | 0.00 |
Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with respect to such logics is typically solved by a numerical approach [31,8,35,22,21,5] that iteratively computes (or approximates) the exact measure of paths satisfying relevant subformulas; the algorithms themselves depend on the class of systems being analyzed as well as the logic used for specifying the properties. Another approach to solve the model checking problem is to simulate the system for finitely many executions, and use hypothesis testing to infer whether the samples provide a statistical evidence for the satisfaction or violation of the specification. In this tutorial, we survey the statistical approach, and outline its main advantages in terms of efficiency, uniformity, and simplicity.