Leaf languages and string compression

  • Authors:
  • Markus Lohrey

  • Affiliations:
  • Universität Leipzig, Institut für Informatik, Germany

  • Venue:
  • Information and Computation
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

Tight connections between leaf languages and strings compressed by straight-line programs (SLPs) are established. It is shown that the compressed membership problem for a language L is complete for the leaf language class defined by L via logspace machines. A more difficult variant of the compressed membership problem for L is shown to be complete for the leaf language class defined by L via polynomial time machines. As a corollary, it is shown that there exists a fixed linear visibly pushdown language for which the compressed membership problem is PSPACE-complete. For XML languages, it is shown that the compressed membership problem is coNP-complete.Furthermore it is shown that the embedding problem for SLP-compressed strings is hard for PP (probabilistic polynomial time).