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  Approximate regular expression searching with arbitrary integer weights (2002) [4 citations — 2 self]

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by Gonzalo Navarro
Nordic J. of Computing
http://www.dcc.uchile.cl/~gnavarro/ps/isaac03.ps.gz
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Abstract:

Abstract. We present a bit-parallel technique to search a text of length n for a regular expression of m symbols permitting k dierences in worst case time O(mn = log k s), where s is the amount of main memory that can be allocated. The algorithm permits arbitrary integer weights and matches the best previous complexities, but it is much simpler and faster in practice. In our way, we dene a new recurrence for approximate searching where the current values depend only on previous values. 1 Introduction and Related Work The need to search for regular expressions arises in many text-based applications, such as text retrieval, text editing and computational biology, to name a few. A

Citations

236 Fast text searching allowing errors – Wu, Manber - 1992
187 A guided tour to approximate string matching – Navarro
185 The Theory and Computation of Evolutionary Distances – Sellers
172 Overview of the third text REtrieval conference (TREC-3), in Overview of the Third Text REtrieval Conference – Harman - 1995
120 Finding Approximate Patterns in Strings – Ukkonen - 1985
100 AGREP-a fast approximate pattern-matching tool – Wu, Manber - 1992
77 Regular expression search algorithm – Thompson - 1968
69 From regular expressions to deterministic automata – Berry, Sethi - 1986
51 Approximate matching of regular expressions – Myers, Miller - 1989
37 The abstract theory of automata – Glushkov - 1961
25 A four russians algorithm for regular expression pattern matching – Myers - 1992
12 A subquadratic algorithm for approximate regular expression matching – Wu, Manber, et al. - 1995
8 Compact DFA representation for fast regular expression search – Navarro, Raffinot - 2001
3 Nr-grep: a fast and pattern matching tool. Software Practice and Experience – Navarro - 2001