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          <dc:title>Jumping Automata for Uniform Strategies</dc:title>
          <dc:creator>Maubert, Bastien</dc:creator>
          <dc:creator>Pinchinat, Sophie</dc:creator>
          <dc:subject>Games</dc:subject>
          <dc:subject>Imperfect information</dc:subject>
          <dc:subject>Uniform strategies</dc:subject>
          <dc:subject>Jumping automata</dc:subject>
          <dc:description>The concept of uniform strategies has recently been proposed as a relevant notion in game theory for computer science. It relies on properties involving sets of plays in two-player turn-based arenas equipped with a binary relation between plays. Among the two notions of fully-uniform and strictly-uniform strategies, we focus on the latter, less explored. We present a language that extends CTL^* with a quantifier over all related plays, which enables to express a rich class of uniformity constraints on strategies. We show that the existence of a uniform strategy is equivalent to the language non-emptiness of a jumping tree automaton. While the existence of a uniform strategy is undecidable for rational binary relations, restricting to ecognizable relations yields a 2EXPTIME-complete complexity, and still captures a class of two-player imperfect-information games with epistemic temporal objectives. This result relies on a translation from jumping tree automata with recognizable relations to two-way tree automata.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Bastien Maubert and Sophie Pinchinat</dc:contributor>
          <dc:date>2013</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 24, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013)</dc:relation>
          <dc:type>InProceedings</dc:type>
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          <dc:identifier>doi:10.4230/LIPIcs.FSTTCS.2013.287</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-43801</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2013.287</dc:identifier>
          <dc:language>eng</dc:language>
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