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» Kolmogorov complexity in perspective
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APAL
2006
64views more  APAL 2006»
13 years 7 months ago
What can be efficiently reduced to the Kolmogorov-random strings?
We investigate the question of whether one can characterize complexity classes (such as PSPACE or NEXP) in terms of efficient reducibility to the set of Kolmogorovrandom strings R...
Eric Allender, Harry Buhrman, Michal Koucký
CIE
2009
Springer
14 years 2 months ago
On Generating Independent Random Strings
It is shown that from two strings that are partially random and independent (in the sense of Kolmogorov complexity) it is possible to effectively construct polynomially many strin...
Marius Zimand
DAGSTUHL
2006
13 years 9 months ago
Multisource Algorithmic Information Theory
Multisource information theory in Shannon setting is well known. In this article we try to develop its algorithmic information theory counterpart and use it as the general framewo...
Alexander Shen
APAL
2010
85views more  APAL 2010»
13 years 7 months ago
Elementary differences between the degrees of unsolvability and degrees of compressibility
Given two infinite binary sequences A, B we say that B can compress at least as well as A if the prefix-free Kolmogorov complexity relative to B of any binary string is at most as ...
George Barmpalias
CAS
1999
60views more  CAS 1999»
13 years 7 months ago
Coincidences Are not Accidental: a Theorem
In this paper, we formalize and prove the statement that coincidences cannot be accidental, a statement that underlies many useful heuristics in mathematics and physics. Our proof...
Vladik Kreinovich