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arXiv · 1210.2457

Down the Borel Hierarchy: Solving Muller Games via Safety Games

Daniel Neider·Roman Rabinovich·Martin Zimmermann
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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.

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Daniel Neider, Roman Rabinovich, Martin Zimmermann. 2012-10-09. Down the Borel Hierarchy: Solving Muller Games via Safety Games. https://doi.org/10.4204/eptcs.96.13

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