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URN: urn:nbn:de:0030-drops-6258
URL: http://drops.dagstuhl.de/opus/volltexte/2006/625/
Shen, Alexander

Combinatorial proof of Muchnik's theorem

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Abstract

Original proof of Muchnik's theorem on conditional descriptions can be modified and split into two parts: 1) we construct a graph that allows large online matchings (main part) 2) we use this graph to prove the theorem The question about online matching could be interesting in itself.

BibTeX - Entry

@InProceedings{shen:DSP:2006:625,
  author =	{Alexander Shen},
  title =	{Combinatorial proof of Muchnik's theorem},
  booktitle =	{Kolmogorov Complexity and Applications},
  year =	{2006},
  editor =	{Marcus Hutter  and Wolfgang Merkle and Paul M.B. Vitanyi},
  number =	{06051},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2006/625},
  annote =	{Keywords: Matching conditional descriptions Kolmogorov complexity}
}

Keywords: Matching conditional descriptions Kolmogorov complexity
Seminar: 06051 - Kolmogorov Complexity and Applications
Issue date: 2006
Date of publication: 31.07.2006

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