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DOI: 10.4230/LIPIcs.CONCUR.2017.29

Model-Checking Counting Temporal Logics on Flat Structures

Authors: Normann Decker, Peter Habermehl, Martin Leucker, Arnaud Sangnier, and Daniel Thoma

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)

Abstract

We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show that decidability can be recovered by considering flat Kripke structures where each state belongs to at most one simple loop. Most decision procedures are based on results on (flat) counter systems where counters are used to implement the evaluation of counting operators.

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Normann Decker, Peter Habermehl, Martin Leucker, Arnaud Sangnier, and Daniel Thoma. Model-Checking Counting Temporal Logics on Flat Structures. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 29:1-29:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{decker_et_al:LIPIcs.CONCUR.2017.29,
  author =	{Decker, Normann and Habermehl, Peter and Leucker, Martin and Sangnier, Arnaud and Thoma, Daniel},
  title =	{{Model-Checking Counting Temporal Logics on Flat Structures}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{29:1--29:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.29},
  URN =		{urn:nbn:de:0030-drops-77709},
  doi =		{10.4230/LIPIcs.CONCUR.2017.29},
  annote =	{Keywords: Counting Temporal Logic, Model checking, Flat Kripke Structure}
}

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Model-Checking Counting Temporal Logics on Flat Structures

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