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Shen, Alexander

Combinatorial proof of Muchnik's theorem

06051.ShenAlexander.ExtAbstract.625.pdf (0.1 MB)


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

  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 =		{},
  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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