Descriptional complexity of two-way pushdown automata with restricted head reversals

  • Authors:
  • Andreas Malcher;Carlo Mereghetti;Beatrice Palano

  • Affiliations:
  • Institut für Informatik, Universität Giessen, Giessen, Germany;Dipartimento di Scienze dell'Informazione, Università degli Studi di Milano, Milano, Italy;Dipartimento di Scienze dell'Informazione, Università degli Studi di Milano, Milano, Italy

  • Venue:
  • DCFS'11 Proceedings of the 13th international conference on Descriptional complexity of formal systems
  • Year:
  • 2011

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Abstract

Two-way nondeterministic pushdown automata (2PDA) are classical nondeterministic pushdown automata (PDA) enhanced with two-way motion of the input head. In this paper, the subclass of 2PDA accepting bounded languages and making at most a constant number of input head turns is studied with respect to descriptional complexity aspects. In particular, the effect of reducing the number of pushdown reversals to a constant number is of interest. It turns out that this reduction leads to an exponential blow-up in case of nondeterministic devices, and to a doubly-exponential blow-up in case of deterministic devices. If the restriction on boundedness of the languages considered and on the finiteness of the number of head turns is dropped, the resulting trade-offs are no longer bounded by recursive functions, and so-called nonrecursive trade-offs are shown.