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Fast text searching for regular expressions or automaton searching on tries

by: Richardo, Gaston H Gonnet
Journal of the ACM, Vol. 43, No. 6. (1996), pp. 915-936.


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We present algorithms for efficient searching of regular expressions on preprocessed text, using a Patricia tree as a logical model for the index. We obtain searching algorithms which run in logarithmic expected time in the size of the text for a wide subclass of regular expressions, and in sublinear expected time for any regular expression. This is the first such algorithm to be found with this complexity. 1 Introduction Pattern matching and text searching are very important components of...


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