Flip-pushdown automata: k + 1 pushdown reversals are better than k

  • Authors:

  • Markus Holzer;Martin Kutrib

  • Affiliations:

  • Institut für Informatik, Technische Universität München, München, Germany;Institut für Informatik, Universität Gießen, Gießen, Germany

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

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Abstract

Flip-pushdown automata are pushdown automata with the additional power to flip or reverse its pushdown, and were recently introduced by Sarkar [13]. We solve most of Sarkar's open problems. In particular, we show that k+1 pushdown reversals are better than k for both deterministic and nondeterministic flip-pushdown automata, i.e., there are languages which can be recognized by a deterministic flip-pushdown automaton with k+1 pushdown reversals but which cannot be recognized by a k-flip-pushdown (deterministic or nondeterministic). Furthermore, we investigate closure and non-closure properties as well as computational complexity problems such as fixed and general membership.