Fast and compact regular expression matching

We study 4 problems in string matching, namely, regular expression matching, approximate regular expression matching, string edit distance, and subsequence indexing, on a standard word RAM model of computation that allows logarithmic-sized words to be manipulated in constant time. We show how to improve the space and/or remove a dependency on the alphabet size for each problem using either an improved tabulation technique of an existing algorithm or by combining known algorithms in a new way.

Authors

• Philip Bille
• Martin Farach-Colton

Keywords

• Regular expression matching
• Approximate regular expression matching: String edit distance
• Subsequence indexing
• Four russian technique