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Concurrent Games and Semi-Random Determinacy

Author Stéphane Le Roux

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ACM Subject Classification
  • Theory of computation → Formal languages and automata theory
  • Theory of computation → Verification by model checking
  • Software and its engineering → Software verification
  • Software and its engineering → Model checking
Keywords
  • Two-player win/lose
  • graph
  • infinite duration
  • abstract winning condition

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Abstract

Consider concurrent, infinite duration, two-player win/lose games played on graphs. If the winning condition satisfies some simple requirement, the existence of Player 1 winning (finite-memory) strategies is equivalent to the existence of winning (finite-memory) strategies in finitely many derived one-player games. Several classical winning conditions satisfy this simple requirement.
Under an additional requirement on the winning condition, the non-existence of Player 1 winning strategies from all vertices is equivalent to the existence of Player 2 stochastic strategies almost-sure winning from all vertices. Only few classical winning conditions satisfy this additional requirement, but a fairness variant of omega-regular languages does.

Cite As Get BibTex

Stéphane Le Roux. Concurrent Games and Semi-Random Determinacy. In 43rd International Symposium on Mathematical Foundations of Computer Science (MFCS 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 117, pp. 40:1-40:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.MFCS.2018.40

Author Details

Stéphane Le Roux
  • Darmstadt Technical University, Department of Mathematics, Darmstadt, Germany

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