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» Increasing Kolmogorov Complexity
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FSTTCS
2001
Springer
14 years 1 months ago
When Worlds Collide: Derandomization, Lower Bounds, and Kolmogorov Complexity
This paper has the following goals: – To survey some of the recent developments in the field of derandomization. – To introduce a new notion of time-bounded Kolmogorov complex...
Eric Allender
CORR
2010
Springer
89views Education» more  CORR 2010»
13 years 8 months ago
An Oracle Strongly Separating Deterministic Time from Nondeterministic Time, via Kolmogorov Complexity
Hartmanis used Kolmogorov complexity to provide an alternate proof of the classical result of Baker, Gill, and Solovay that there is an oracle relative to which P is not NP. We re...
David Doty
DLT
2009
13 years 6 months ago
Asymptotic Cellular Complexity
We show here how to construct a cellular automaton whose asymptotic set (the set of configurations it converges to) is maximally complex: it contains only configurations of maximal...
Bruno Durand, Victor Poupet
TIT
2010
107views Education» more  TIT 2010»
13 years 3 months ago
Rate distortion and denoising of individual data using Kolmogorov complexity
We examine the structure of families of distortion balls from the perspective of Kolmogorov complexity. Special attention is paid to the canonical rate-distortion function of a so...
Nikolai K. Vereshchagin, Paul M. B. Vitányi
COCO
2000
Springer
112views Algorithms» more  COCO 2000»
14 years 27 days ago
Combinatorial Interpretation of Kolmogorov Complexity
Kolmogorov’s very first paper on algorithmic information theory (Kolmogorov, Problemy peredachi infotmatsii 1(1) (1965), 3) was entitled “Three approaches to the definition ...
Andrei E. Romashchenko, Alexander Shen, Nikolai K....