Approximate Verification of Probabilistic Systems

@inproceedings{Lassaigne2002ApproximateVO,
  title={Approximate Verification of Probabilistic Systems},
  author={Richard Lassaigne and Sylvain Peyronnet},
  booktitle={PAPM-PROBMIV},
  year={2002}
}
General methods have been proposed [2,4] for the model checking of probabilistic systems, where the verification of a probabilistic statement is reduced to the solution of a linear system over the system’s state space. To overcome the state space explosion problem, some probabilistic model checkers, such as PRISM [3], use MTBDDs. We propose a different solution, in which we use a Monte-Carlo algorithm [6] to approximate Prob[ψ], the probability that a temporal formula is true. We show how to… 
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