Improved approximate string matching and regular expression matching on Ziv-Lempel compressed texts

Authors:
Philip Bille;Rolf Fagerberg;Inge Li Gørtz
Affiliations:
IT University of Copenhagen., Copenhagen S, Denmark;University of Southern Denmark. Odense M, Denmark;Technical University of Denmark. Informatics and Mathematical Modelling, Lyngby, Denmark
Venue:
CPM'07 Proceedings of the 18th annual conference on Combinatorial Pattern Matching
Year:
2007

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Abstract

We study the approximate string matching and regular expressionmatching problemfor the casewhen the text to be searched is compressedwith the Ziv-Lempel adaptive dictionary compression schemes. We present a time-space trade-off that leads to algorithms improving the previously known complexities for both problems. In particular, we significantly improve the space bounds. In practical applications the space is likely to be a bottleneck and therefore this is of crucial importance.