Heuristics: intelligent search strategies for computer problem solving
Heuristics: intelligent search strategies for computer problem solving
SIAM Journal on Computing
Verifying Continuous Time Markov Chains
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
Model-Checking Algorithms for Continuous-Time Markov Chains
IEEE Transactions on Software Engineering
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Regular Expressions for PCTL Counterexamples
QEST '08 Proceedings of the 2008 Fifth International Conference on Quantitative Evaluation of Systems
Debugging of Dependability Models Using Interactive Visualization of Counterexamples
QEST '08 Proceedings of the 2008 Fifth International Conference on Quantitative Evaluation of Systems
Counterexample Generation in Probabilistic Model Checking
IEEE Transactions on Software Engineering
Generation of Counterexamples for Model Checking of Markov Decision Processes
QEST '09 Proceedings of the 2009 Sixth International Conference on the Quantitative Evaluation of Systems
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QEST '09 Proceedings of the 2009 Sixth International Conference on the Quantitative Evaluation of Systems
IEEE Transactions on Software Engineering
A lazy version of Eppstein's K shortest paths algorithm
WEA'03 Proceedings of the 2nd international conference on Experimental and efficient algorithms
Extended directed search for probabilistic timed reachability
FORMATS'06 Proceedings of the 4th international conference on Formal Modeling and Analysis of Timed 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
DiPro: a tool for probabilistic counterexample generation
Proceedings of the 18th international SPIN conference on Model checking software
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The generation of counterexamples for probabilistic model checking has been an area of active research over the past five years. Tangible outcome of this research are novel directed and heuristic algorithms for efficient generation of probabilistic counterexamples, such as K* and XBF. In this paper we present an empirical evaluation of the efficiency of these algorithms and the well-known Eppstein's algorithm. We will also evaluate the effect of optimisations applied to Eppstein, K* and XBF. Additionally, we will show, how information produced during model checking can be used to guide the search for counterexamples. This is a first step towards automatically generating heuristic functions. The experimental evaluation of the various algorithms is done by applying them to one case study, knwon from the literature on probabilistic model checking and one case study taken from the automotive industry.