Learning rational functions

  • Authors:
  • Adrien Boiret;Aurélien Lemay;Joachim Niehren

  • Affiliations:
  • INRIA, Lille, France,Mostrare project of INRIA & LIFL (CNRS UMR 8022), France;University of Lille, France,Mostrare project of INRIA & LIFL (CNRS UMR 8022), France;INRIA, Lille, France,Mostrare project of INRIA & LIFL (CNRS UMR 8022), France

  • Venue:
  • DLT'12 Proceedings of the 16th international conference on Developments in Language Theory
  • Year:
  • 2012

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Abstract

Rational functions are transformations from words to words that can be defined by string transducers. Rational functions are also captured by deterministic string transducers with lookahead. We show for the first time that the class of rational functions can be learned in the limit with polynomial time and data, when represented by string transducers with lookahead in the diagonal-minimal normal form that we introduce.