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DOI: 10.4230/LIPIcs.ICALP.2023.126

Black-Box Testing Liveness Properties of Partially Observable Stochastic Systems

Authors: Javier Esparza and Vincent P. Grande

Published in: LIPIcs, Volume 261, 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)

Abstract

We study black-box testing for stochastic systems and arbitrary ω-regular specifications, explicitly including liveness properties. We are given a finite-state probabilistic system that we can only execute from the initial state. We have no information on the number of reachable states, or on the probabilities; further, we can only partially observe the states. The only action we can take is to restart the system. We design restart strategies guaranteeing that, if the specification is violated with non-zero probability, then w.p.1 the number of restarts is finite, and the infinite run executed after the last restart violates the specification. This improves on previous work that required full observability. We obtain asymptotically optimal upper bounds on the expected number of steps until the last restart. We conduct experiments on a number of benchmarks, and show that our strategies allow one to find violations in Markov chains much larger than the ones considered in previous work.

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Javier Esparza and Vincent P. Grande. Black-Box Testing Liveness Properties of Partially Observable Stochastic Systems. In 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 261, pp. 126:1-126:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{esparza_et_al:LIPIcs.ICALP.2023.126,
  author =	{Esparza, Javier and Grande, Vincent P.},
  title =	{{Black-Box Testing Liveness Properties of Partially Observable Stochastic Systems}},
  booktitle =	{50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)},
  pages =	{126:1--126:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-278-5},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{261},
  editor =	{Etessami, Kousha and Feige, Uriel and Puppis, Gabriele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2023.126},
  URN =		{urn:nbn:de:0030-drops-181785},
  doi =		{10.4230/LIPIcs.ICALP.2023.126},
  annote =	{Keywords: Partially observable Markov chains, \omega-regular properties, black-box testing}
}

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Black-Box Testing Liveness Properties of Partially Observable Stochastic Systems

Abstract

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