Higher order pushdown automata, the Caucal hierarchy of graphs and parity games

  • Authors:
  • Thierry Cachat

  • Affiliations:
  • Lehrstuhl für Informatik VII, RWTH, Aachen

  • Venue:
  • ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
  • Year:
  • 2003

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Abstract

We consider two-player parity games played on transition graphs of higher order pushdown automata. They are "game-equivalent" to a kind of model-checking game played on graphs of the infinite hierarchy introduced recently by Caucal. Then in this hierarchy we show how to reduce a game to a graph of lower level. This leads to an effective solution and a construction of the winning strategies.