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

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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(nlog 2 (n)) transitions. This method has been implemented efficiently in O(nlog 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(nlog 2 (n)) time.

DOI : 10.1051/ita:2007035
Classification : 03D15, 68Q45
Keywords: 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},
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     year = {2008},
     doi = {10.1051/ita:2007035},
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     zbl = {1157.68042},
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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

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