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Recursive algorithm for parity games requires exponential time

Published online by Cambridge University Press:  14 November 2011

Oliver Friedmann
Oliver Friedmann*
Affiliation:
Institut für Informatik, LMU München 80538 Munich, Germany. Oliver.Friedmann@googlemail.com
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Abstract

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.

Keywords

Parity gamesrecursive algorithmlower boundμcalculusmodel checking
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 45 , Issue 4 , November 2011 , pp. 449 - 457
Copyright
© EDP Sciences 2011

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References

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