Positional Strategies for Higher-Order Pushdown Parity Games

  • Authors:
  • Arnaud Carayol;Michaela Slaats

  • Affiliations:
  • IGM---LabInfo, Université Paris-Est & CNRS,;RWTH Aachen, Aachen, Germany 52056

  • Venue:
  • MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
  • Year:
  • 2008

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Abstract

Higher-order pushdown systems generalize pushdown systems by using higher-order stacks, which are nested stacks of stacks. In this article, we consider parity games defined by higher-order pushdown systems and provide a k-Exptimealgorithm to compute finite representations of positional winning strategies for both players for games defined by level-khigher-order pushdown automata. Our result is based on automata theoretic techniques exploiting the tree structure corresponding to higher-order stacks and their associated operations.