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Leaf languages and string compression

Author Markus Lohrey



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LIPIcs.FSTTCS.2008.1761.pdf
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Markus Lohrey

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Markus Lohrey. Leaf languages and string compression. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 2, pp. 292-303, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/LIPIcs.FSTTCS.2008.1761

Abstract

Tight connections between leafs languages and strings compressed via 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, a fixed linear visibly pushdown language with a PSPACE-complete compressed membership problem is obtained. For XML languages, the compressed membership problem is shown to be coNP-complete.
Keywords
  • Leaf languages
  • string compression
  • grammar-based compression
  • complexity theory

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