License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2023.126
URN: urn:nbn:de:0030-drops-181785
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Esparza, Javier ; Grande, Vincent P.

Black-Box Testing Liveness Properties of Partially Observable Stochastic Systems

LIPIcs-ICALP-2023-126.pdf (1.0 MB)


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.

BibTeX - Entry

  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 =		{},
  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}

Keywords: Partially observable Markov chains, ω-regular properties, black-box testing
Collection: 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)
Issue Date: 2023
Date of publication: 05.07.2023
Supplementary Material: Software (Source Code):

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