Regularity Problems for Weak Pushdown ω-Automata and Games

  • Christof Löding
  • Stefan Repke
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7464)

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.

Keywords

Normal Form Model Check State Strategy Regular Language Winning Strategy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Christof Löding
    • 1
  • Stefan Repke
    • 1
  1. 1.Lehrstuhl für Informatik 7RWTH AachenGermany

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