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URN: urn:nbn:de:0030-drops-17612
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Leaf languages and string compression

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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.

BibTeX - Entry

@InProceedings{lohrey:LIPIcs:2008:1761,
  author =	{Markus Lohrey},
  title =	{{Leaf languages and string compression}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{292--303},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-08-8},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{2},
  editor =	{Ramesh Hariharan and Madhavan Mukund and V Vinay},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2008/1761},
  URN =		{urn:nbn:de:0030-drops-17612},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2008.1761},
  annote =	{Keywords: Leaf languages, string compression, grammar-based compression, complexity theory}
}

Keywords: Leaf languages, string compression, grammar-based compression, complexity theory
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science
Issue date: 2008
Date of publication: 2008


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