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Efficient weighted expressions conversion

Published online by Cambridge University Press:  06 September 2007

Faissal Ouardi  and
Djelloul Ziadi
Faissal Ouardi
Affiliation:
L.I.T.I.S., University of Rouen, France; Faissal.Ouardi@univ-rouen.fr; Djelloul.Ziadi@univ-rouen.fr
Djelloul Ziadi
Affiliation:
L.I.T.I.S., University of Rouen, France; Faissal.Ouardi@univ-rouen.fr; Djelloul.Ziadi@univ-rouen.fr
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Abstract

J. Hromkovic et al. have given an elegant method to convert a regular expression of size n into an ε-free nondeterministic finite automaton having O(n) states and O(nlog2(n)) transitions. This method has been implemented efficiently in O(nlog2(n)) time by C. Hagenah and A. Muscholl. In this paper we extend this method to weighted regular expressions and we show that it can be achieved in O(nlog2(n)) time.

Keywords

Formal languages and automatacomplexity of computation
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 2 , April 2008 , pp. 285 - 307
Copyright
© EDP Sciences, 2007

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