Tirage a pile ou face de mots de Fibonacci

  • Authors:
  • Jean Guy Penaud;Olivier Roques

  • Affiliations:
  • Lab. Bordelais de Recherche en Informatique (LaBRI), Universite Bordeaux 1, 351 cours de la Liberation, F-33405 Talence Cedex, France;Lab. Bordelais de Recherche en Informatique (LaBRI), Universite Bordeaux 1, 351 cours de la Liberation, F-33405 Talence Cedex, France

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2002

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Abstract

In this paper, we give a semi-algorithm to sample uniformly at random from the Fibonacci language L = ε + La + Lbb. It needs a uniform bit generator and the average complexity is linear. We show that we can transform this semi-algorithm to a true algorithm still with a linear complexity. Finally, we discuss a generalization to a class of regular languages.