Recursive algorithm for parity games requires exponential time

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Recursive algorithm for parity games requires exponential time

This paper presents a new lower bound for the recursive algorithm for solving parity games which is induced by the constructive proof of memoryless determinacy by Zielonka. We outline a family of games of linear size on which the algorithm requires exponential time.

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This paper presents a new lower bound for the recursive algorithm for solving parity games which is induced by the constructive proof of memoryless determinacy by Zielonka. We outline a family of games of linear size on which the algorithm requires exponential time.

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We consider games played on graphs with the winning conditions for the players specified as weak-parity conditions. In weak-parity conditions the winner of a play is decided by looking into the set of states appearing in the play, rather than the set of states appearing infinitely often in the play. A naive analysis of the classical algorithm for weak-parity games yields a quadratic time algori...

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ژورنال

عنوان ژورنال: RAIRO - Theoretical Informatics and Applications

سال: 2011

ISSN: 0988-3754,1290-385X

DOI: 10.1051/ita/2011124