Efficient weighted expressions conversion

Ouardi, Faissal; Ziadi, Djelloul

doi:10.1051/ita:2007035

Ouardi, Faissal ; Ziadi, Djelloul

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 2, pp. 285-307.

Résumé

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 $O (n {log}^{2} (n))$ transitions. This method has been implemented efficiently in $O (n {log}^{2} (n))$ 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 $O (n {log}^{2} (n))$ time.

MR Zbl

DOI : 10.1051/ita:2007035

Classification : 03D15, 68Q45
Mots-clés : formal languages and automata, complexity of computation

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     author = {Ouardi, Faissal and Ziadi, Djelloul},
     title = {Efficient weighted expressions conversion},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {285--307},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {2},
     year = {2008},
     doi = {10.1051/ita:2007035},
     mrnumber = {2401263},
     zbl = {1157.68042},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ita:2007035/}
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Ouardi, Faissal; Ziadi, Djelloul. Efficient weighted expressions conversion. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 2, pp. 285-307. doi : 10.1051/ita:2007035. https://www.numdam.org/articles/10.1051/ita:2007035/

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