On the gap-complexity of simple RL-Automata

  • Authors:
  • F. Mráz;F. Otto;M. Plátek

  • Affiliations:
  • Faculty of Mathematics and Physics, Department of Computer Science, Charles University, Praha 1, Czech Republic;Fachbereich Mathematik/Informatik, Universität Kassel, Kassel, Germany;Faculty of Mathematics and Physics, Department of Computer Science, Charles University, Praha 1, Czech Republic

  • Venue:
  • DLT'06 Proceedings of the 10th international conference on Developments in Language Theory
  • Year:
  • 2006

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Abstract

Analysis by reduction is a method used in linguistics for checking the correctness of sentences of natural languages. This method is modelled by restarting automata. Here we introduce and study a new type of restarting automaton, the so-called t-sRL-automaton, which is an RL-automaton that is rather restricted in that it has a window of size 1 only, and that it works under a minimal acceptance condition. On the other hand, it is allowed to perform up to t rewrite (that is, delete) steps per cycle. Here we study the gap-complexity of these automata. The membership problem for a language that is accepted by a t-sRL-automaton with a bounded number of gaps can be solved in polynomial time. On the other hand, t-sRL-automata with an unbounded number of gaps accept NP-complete languages.