Down the Borel hierarchy: Solving Muller games via safety games



Neider, Daniel, Rabinovich, Roman and Zimmermann, Martin ORCID: 0000-0002-8038-2453
(2014) Down the Borel hierarchy: Solving Muller games via safety games. THEORETICAL COMPUTER SCIENCE, 560 (P3). pp. 219-234.

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Abstract

We transform a Muller game with n vertices into a safety game with (n!)<sup>3</sup> vertices whose solution allows us to determine the winning regions of the Muller game and to compute a finite-state winning strategy for one player. This yields a novel antichain-based memory structure, a compositional solution algorithm, and a natural notion of permissive strategies for Muller games. Moreover, we generalize our construction by presenting a new type of game reduction from infinite games to safety games and show its applicability to several other winning conditions.

Item Type: Article
Uncontrolled Keywords: Muller games, Safety games, Permissive strategies, Game reductions
Depositing User: Symplectic Admin
Date Deposited: 15 Jul 2019 12:55
Last Modified: 19 Jan 2023 00:37
DOI: 10.1016/j.tcs.2014.01.017
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3050013