Querying and embedding compressed texts

  • Authors:
  • Yury Lifshits;Markus Lohrey

  • Affiliations:
  • Steklov Institut of Mathematics, St.Petersburg, Russia;FMI, Universität Stuttgart, Germany

  • Venue:
  • MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

The computational complexity of two simple string problems on compressed input strings is considered: the querying problem (What is the symbol at a given position in a given input string?) and the embedding problem (Can the first input string be embedded into the second input string?). Straight-line programs are used for text compression. It is shown that the querying problem becomes P-complete for compressed strings, while the embedding problem becomes hard for the complexity class $\Theta^{p}_{2}$.