Down the Borel Hierarchy: Solving Muller Games via Safety Games

Neider, Daniel, Rabinovich, Roman and Zimmermann, Martin ORCID: 0000-0002-8038-2453 (2012) Down the Borel Hierarchy: Solving Muller Games via Safety Games. .

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Official URL: http://dx.doi.org/10.4204/eptcs.96.13

Abstract

We transform a Muller game with n vertices into a safety game with (n!)3 vertices whose solution allows 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 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:	Conference or Workshop Item (Unspecified)
Depositing User:	Symplectic Admin
Date Deposited:	15 Jul 2019 12:56
Last Modified:	19 Jan 2023 00:37
DOI:	10.4204/eptcs.96.13
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3049688