Regularity problems for weak pushdown ω-automata and games

  • Authors:
  • Christof Löding;Stefan Repke

  • Affiliations:
  • Lehrstuhl für Informatik 7, RWTH Aachen, Germany;Lehrstuhl für Informatik 7, RWTH 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 show that the regularity and equivalence problems are decidable for deterministic weak pushdown ω-automata, giving a partial answer to a question raised by Cohen and Gold in 1978. We prove the decidability by a reduction to the corresponding problems for deterministic pushdown automata on finite words. Furthermore, we consider the problem of deciding for pushdown games whether a winning strategy exists that can be implemented by a finite automaton. We show that this problem is already undecidable for games defined by one-counter automata or visibly pushdown automata with a safety condition.