Random Generation of Deterministic Tree (Walking) Automata

  • Authors:
  • Pierre-Cyrille Héam;Cyril Nicaud;Sylvain Schmitz

  • Affiliations:
  • LIFC, Université de Franche-Comté & INRIA, Besançççon, France and LSV, ENS Cachan & CNRS & INRIA, Cachan, France;LIGM, Université Paris Est & CNRS, Marne-la-Vallééée, France;LSV, ENS Cachan & CNRS & INRIA, Cachan, France

  • Venue:
  • CIAA '09 Proceedings of the 14th International Conference on Implementation and Application of Automata
  • Year:
  • 2009

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Abstract

Uniform random generators deliver a simple empirical means to estimate the average complexity of an algorithm. We present a general rejection algorithm that generates sequential letter-to-letter transducers up to isomorphism. We tailor this general scheme to randomly generate deterministic tree walking automata and deterministic top-down tree automata. We apply our implementation of the generator to the estimation of the average complexity of a deterministic tree walking automata to nondeterministic top-down tree automata construction we also implemented.