Article thumbnail
Location of Repository

Combinatorial interpretation of Kolmogorov complexity

By A. Romashchenko, A. Shen and N. Vereshchagin


The very first Kolmogorov’s paper on algorithmic information theory [1] was entitled “Three approaches to the definition of the quantity of information”. These three approaches were called combinatorial, probabilistic and algorithmic. Trying to establish formal connections between combinatorial and algorithmic approaches, we prove that every linear inequality including Kolmogorov complexities could be translated into an equivalent combinatorial statement. Entropy (complexity) proofs of combinatorial inequalities given in [5] and [2] can be considered as a special cases (and a natural starting points) for this translation

Year: 2002
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.