Efficient weighted expressions conversion

Faissal Ouardi; Djelloul Ziadi

RAIRO - Theoretical Informatics and Applications (2007)

  • Volume: 42, Issue: 2, page 285-307
  • ISSN: 0988-3754

Abstract

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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.

How to cite

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Ouardi, Faissal, and Ziadi, Djelloul. "Efficient weighted expressions conversion." RAIRO - Theoretical Informatics and Applications 42.2 (2007): 285-307. <http://eudml.org/doc/92872>.

@article{Ouardi2007,
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. },
author = {Ouardi, Faissal, Ziadi, Djelloul},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Formal languages and automata; complexity of computation; formal series; weighted regular expression; weighted automaton},
language = {eng},
month = {9},
number = {2},
pages = {285-307},
publisher = {EDP Sciences},
title = {Efficient weighted expressions conversion},
url = {http://eudml.org/doc/92872},
volume = {42},
year = {2007},
}

TY - JOUR
AU - Ouardi, Faissal
AU - Ziadi, Djelloul
TI - Efficient weighted expressions conversion
JO - RAIRO - Theoretical Informatics and Applications
DA - 2007/9//
PB - EDP Sciences
VL - 42
IS - 2
SP - 285
EP - 307
AB - 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.
LA - eng
KW - Formal languages and automata; complexity of computation; formal series; weighted regular expression; weighted automaton
UR - http://eudml.org/doc/92872
ER -

References

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  19. D. Ziadi, J.-L. Ponty and J.-M. Champarnaud, Passage d'une expression rationnelle à un automate fini non-déterministe. Bull. Belg. Math. Soc. Simon Stevin4 (1997) 177–203.  

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