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DOI: 10.4230/LIPIcs.FSTTCS.2009.2323

Verification and Refutation of Probabilistic Specifications via Games

Authors: Mark Kattenbelt and Michael Huth

Published in: LIPIcs, Volume 4, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (2009)

Abstract

We develop an abstraction-based framework to check probabilistic specifications of Markov Decision Processes (MDPs) using the stochastic two-player game abstractions (\ie ``games'') developed by Kwiatkowska et al.\ as a foundation. We define an abstraction preorder for these game abstractions which enables us to identify many new game abstractions for each MDP --- ranging from compact and imprecise to complex and precise. This added ability to trade precision for efficiency is crucial for scalable software model checking, as precise abstractions are expensive to construct in practice. Furthermore, we develop a four-valued probabilistic computation tree logic (PCTL) semantics for game abstractions. Together, the preorder and PCTL semantics comprise a powerful verification and refutation framework for arbitrary PCTL properties of MDPs.

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Mark Kattenbelt and Michael Huth. Verification and Refutation of Probabilistic Specifications via Games. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 4, pp. 251-262, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{kattenbelt_et_al:LIPIcs.FSTTCS.2009.2323,
  author =	{Kattenbelt, Mark and Huth, Michael},
  title =	{{Verification and Refutation of Probabilistic Specifications via Games}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{251--262},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-13-2},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{4},
  editor =	{Kannan, Ravi and Narayan Kumar, K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2009.2323},
  URN =		{urn:nbn:de:0030-drops-23233},
  doi =		{10.4230/LIPIcs.FSTTCS.2009.2323},
  annote =	{Keywords: Probabilistic model checking, Markov decision processes, Abstraction preorder, Stochastic two-player games}
}

Document

DOI: 10.4230/DagSemProc.07101.3

07101 Working Group Report – Performance Measures Other Than Time

Authors: Lucia Cloth, Pepijn Crouzen, Matthias Fruth, Tingting Han, David N. Jansen, Mark Kattenbelt, Gerard J. M. Smit, and Lijun Zhang

Published in: Dagstuhl Seminar Proceedings, Volume 7101, Quantitative Aspects of Embedded Systems (2007)

Abstract

This presentation shows a few possible performance measures that might be interesting and possible evaluation methods.

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Lucia Cloth, Pepijn Crouzen, Matthias Fruth, Tingting Han, David N. Jansen, Mark Kattenbelt, Gerard J. M. Smit, and Lijun Zhang. 07101 Working Group Report – Performance Measures Other Than Time. In Quantitative Aspects of Embedded Systems. Dagstuhl Seminar Proceedings, Volume 7101, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)

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@InProceedings{cloth_et_al:DagSemProc.07101.3,
  author =	{Cloth, Lucia and Crouzen, Pepijn and Fruth, Matthias and Han, Tingting and Jansen, David N. and Kattenbelt, Mark and Smit, Gerard J. M. and Zhang, Lijun},
  title =	{{07101 Working Group Report – Performance Measures Other Than Time}},
  booktitle =	{Quantitative Aspects of Embedded Systems},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2007},
  volume =	{7101},
  editor =	{Boudewijn Haverkort and Joost-Pieter Katoen and Lothar Thiele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07101.3},
  URN =		{urn:nbn:de:0030-drops-11396},
  doi =		{10.4230/DagSemProc.07101.3},
  annote =	{Keywords: }
}

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Documents authored by Kattenbelt, Mark

Verification and Refutation of Probabilistic Specifications via Games

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07101 Working Group Report – Performance Measures Other Than Time

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