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  • 标题:Down the Borel Hierarchy: Solving Muller Games via Safety Games
  • 本地全文:下载
  • 作者:Daniel Neider ; Roman Rabinovich ; Martin Zimmermann
  • 期刊名称:Electronic Proceedings in Theoretical Computer Science
  • 电子版ISSN:2075-2180
  • 出版年度:2012
  • 卷号:96
  • 页码:169-182
  • DOI:10.4204/EPTCS.96.13
  • 出版社:Open Publishing Association
  • 摘要: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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