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Current stochastic model checkers do not make counterexamples for property violations readily available. In this paper, the authors apply directed explicit state space search to discrete- and continuous-time Markov chains in order to compute counterexamples for the violation of PCTL or CSL properties. Directed explicit state space search algorithms explore the state space on-the-fly which makes their method very efficient and highly scalable. They can also be guided using heuristics which usually improve the performance of the method.
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