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» Logical operations and Kolmogorov complexity
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TCS
2002
13 years 4 months ago
Logical operations and Kolmogorov complexity
Alexander Shen, Nikolai K. Vereshchagin
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 4 months ago
Kolmogorov complexity in perspective
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff
ICALP
2009
Springer
14 years 5 months ago
High Complexity Tilings with Sparse Errors
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...
CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 4 months ago
Effective Complexity and its Relation to Logical Depth
Abstract--Effective complexity measures the information content of the regularities of an object. It has been introduced by M. Gell-Mann and S. Lloyd to avoid some of the disadvant...
Nihat Ay, Markus Mueller, Arleta Szkola
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 4 months ago
Depth as Randomness Deficiency
Depth of an object concerns a tradeoff between computation time and excess of program length over the shortest program length required to obtain the object. It gives an unconditio...
Luis Antunes 0002, Armando Matos, Andre Souto, Pau...