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DOI: 10.4230/LIPIcs.FSTTCS.2010.120

ATL with Strategy Contexts: Expressiveness and Model Checking

Authors: Arnaud Da Costa, François Laroussinie, and Nicolas Markey

Published in: LIPIcs, Volume 8, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)

Abstract

We study the alternating-time temporal logics ATL and ATL* extended with strategy contexts: these make agents commit to their strategies during the evaluation of formulas, contrary to plain ATL and ATL* where strategy quantifiers reset previously selected strategies. We illustrate the important expressive power of strategy contexts by proving that they make the extended logics, namely ATLsc and ATLsc*, equally expressive: any formula in ATLsc* can be translated into an equivalent, linear-size ATLsc formula. Despite the high expressiveness of these logics, we~prove that their model-checking problems remain decidable by~designing a tree-automata-based algorithm for model-checking ATLsc* on the full class of $n$-player concurrent game structures.

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Arnaud Da Costa, François Laroussinie, and Nicolas Markey. ATL with Strategy Contexts: Expressiveness and Model Checking. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010). Leibniz International Proceedings in Informatics (LIPIcs), Volume 8, pp. 120-132, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{dacosta_et_al:LIPIcs.FSTTCS.2010.120,
  author =	{Da Costa, Arnaud and Laroussinie, Fran\c{c}ois and Markey, Nicolas},
  title =	{{ATL with Strategy Contexts: Expressiveness and Model Checking}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2010)},
  pages =	{120--132},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-23-1},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{8},
  editor =	{Lodaya, Kamal and Mahajan, Meena},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2010.120},
  URN =		{urn:nbn:de:0030-drops-28589},
  doi =		{10.4230/LIPIcs.FSTTCS.2010.120},
  annote =	{Keywords: alternating temporal logic, agent, strategy quantifier}
}

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ATL with Strategy Contexts: Expressiveness and Model Checking

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