Fully Compressed Pattern Matching Algorithm for Balanced Straight-Line Programs

  • Authors:
  • M. Hirao;A. Shinohara;M. Takeda;S. Arikawa

  • Affiliations:
  • -;-;-;-

  • Venue:
  • SPIRE '00 Proceedings of the Seventh International Symposium on String Processing Information Retrieval (SPIRE'00)
  • Year:
  • 2000

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Abstract

We consider a fully compressed pattern matching problem, where both text T and pattern P are given by its succinct representation, in terms of straight-line programs and its variant. The length of the text T and pattern P may grow exponentially with respect to its description size n and m, respectively. The best known algorithm for the problems runs in O(n/sup 2/m/sup 2/) time using O(nm) space. The authors introduce a variant of straight-line programs, called balanced straight-line programs so that we establish a faster fully compressed pattern matching algorithm. Although the compression ratio of balanced straight-line programs may be worse than the original straight-line programs, they can still express exponentially long strings. Our algorithm runs in O(nm) time using O(nm) space.