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Efficient weighted expressions conversion

Faissal OuardiDjelloul Ziadi — 2008

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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.

Efficient weighted expressions conversion

Faissal OuardiDjelloul Ziadi — 2007

RAIRO - Theoretical Informatics and Applications

J. Hromkovic . have given an elegant method to convert a regular expression of size into an -free nondeterministic finite automaton having states and log ) transitions. This method has been implemented efficiently in log ) 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 log ) time.

Tree pattern matching from regular tree expressions

In this work we deal with tree pattern matching over ranked trees, where the pattern set to be matched against is defined by a regular tree expression. We present a new method that uses a tree automaton constructed inductively from a regular tree expression. First we construct a special tree automaton for the regular tree expression of the pattern E , which is somehow a generalization of Thompson automaton for strings. Then we run the constructed automaton on the subject tree t . The pattern matching...

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