WeightedWord Recognition

  • Authors:
  • É/ric Laugerotte;Djelloul Ziadi

  • Affiliations:
  • Laboratoire d'Informatique, de Traitement de l'Information et des Systè/mes Université/ de Rouen 76801 Saint É/tienne du Rouvray France. E-mails: Eric.Laugerotte@univ-rouen.fr/ Djellou ...;Laboratoire d'Informatique, de Traitement de l'Information et des Systè/mes Université/ de Rouen 76801 Saint É/tienne du Rouvray France. E-mails: Eric.Laugerotte@univ-rouen.fr/ Djellou ...

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2008

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Abstract

In this paper, we introduce the notion of Thompson weighted automaton. We show that an ε-free automaton constructed from the Thompson weighted automaton for a regular weighted expression E can be computed in quadratic time on the size of E. Moreover the coefficient of a word u in the noncommutative formal series associated to E, can be computed in time O(∣u∣ × &mis;E∣).