Publication details

Parameterized Algorithms for Parity Games

Authors

GAJARSKÝ Jakub ORDYNIAK Sebastian LAMPIS Michael MITSOU Valia MAKINO Kazuhisa

Year of publication 2015
Type Article in Proceedings
Conference MFCS 2015, LNCS 9235
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/978-3-662-48054-0_28
Field Informatics
Keywords parity games; model checking; modular-width
Description Determining the winner of a Parity Game is a major problem in computational complexity with a number of applications in verification. In a parameterized complexity setting, the problem has often been considered with parameters such as (directed versions of) treewidth or clique-width, by applying dynamic programming techniques. In this paper we adopt a parameterized approach which is more inspired by well-known (non-parameterized) algorithms for this problem. We consider a number of natural parameterizations, such as by Directed Feedback Vertex Set, Distance to Tournament, and Modular Width. We show that, for these parameters, it is possible to obtain recursive parameterized algorithms which are simpler, faster and only require polynomial space. We complement these results with some algorithmic lower bounds which, among others, rule out a possible avenue for improving the best-known sub-exponential time algorithm for parity games.
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