Strategy machines and their complexity

  • Authors:
  • Marcus Gelderie

  • Affiliations:
  • Lehrstuhl für Informatik 7, Logic and Theory of Discrete Systems, RWTH Aachen, Aachen, Germany

  • Venue:
  • MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2012

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Abstract

We introduce a machine model for the execution of strategies in (regular) infinite games that refines the standard model of Mealy automata. This model of controllers is formalized in the terminological framework of Turing machines. We show how polynomially sized controllers can be found for Muller and Streett games. We are able to distinguish aspects of executing strategies ("size", "latency", "space consumption") that are not visible in Mealy automata. Also, lower bound results are obtained.