Faster Statistical Model Checking for Unbounded Temporal Properties

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2017
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Daca, Przemysław
Henzinger, Thomas A.
Křetínský, Jan
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ACM Transactions on Computational Logic. 2017, 18(2), 12. ISSN 1529-3785. eISSN 1557-945X. Available under: doi: 10.1145/3060139
Zusammenfassung

We present a new algorithm for the statistical model checking of Markov chains with respect to unbounded temporal properties, including full linear temporal logic. The main idea is that we monitor each simulation run on the fly, in order to detect quickly if a bottom strongly connected component is entered with high probability, in which case the simulation run can be terminated early. As a result, our simulation runs are often much shorter than required by termination bounds that are computed a priori for a desired level of confidence on a large state space. In comparison to previous algorithms for statistical model checking our method is not only faster in many cases but also requires less information about the system, namely, only the minimum transition probability that occurs in the Markov chain. In addition, our method can be generalised to unbounded quantitative properties such as mean-payoff bounds.

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004 Informatik
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Languages; Theory; Answer set programming;expressiveness; complexity; nonmonotonic reasoning; second-order logic
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ISO 690DACA, Przemysław, Thomas A. HENZINGER, Jan KŘETÍNSKÝ, Tatjana PETROV, 2017. Faster Statistical Model Checking for Unbounded Temporal Properties. In: ACM Transactions on Computational Logic. 2017, 18(2), 12. ISSN 1529-3785. eISSN 1557-945X. Available under: doi: 10.1145/3060139
BibTex
@article{Daca2017-06-23Faste-42125,
  year={2017},
  doi={10.1145/3060139},
  title={Faster Statistical Model Checking for Unbounded Temporal Properties},
  number={2},
  volume={18},
  issn={1529-3785},
  journal={ACM Transactions on Computational Logic},
  author={Daca, Przemysław and Henzinger, Thomas A. and Křetínský, Jan and Petrov, Tatjana},
  note={Article Number: 12}
}
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