Correctness preservation and complexity of simple RL-automata

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

  • Affiliations:
  • Fachbereich Mathematik/Informatik, Universität Kassel, Kassel, Germany;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:
  • CIAA'06 Proceedings of the 11th international conference on Implementation and Application of Automata
  • 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 can be modelled by restarting automata. Here we 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. We study the correctness preservation of these automata on the one hand, and the complexity of these automata on the other hand, establishing a complexity measure that is based on the description of t-sRL-automata in terms of so-called meta-instructions. We present a hierarchy result and we show that the correctness preserving nondeterministic t-sRL-automata are not stronger than the deterministic t-sRL-automata.