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» Kolmogorov Complexity in Randomness Extraction
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STACS
2005
Springer
13 years 10 months ago
Kolmogorov-Loveland Randomness and Stochasticity
An infinite binary sequence X is Kolmogorov-Loveland (or KL) random if there is no computable non-monotonic betting strategy that succeeds on X in the sense of having an unbounde...
Wolfgang Merkle, Joseph S. Miller, André Ni...
COCO
2010
Springer
148views Algorithms» more  COCO 2010»
13 years 8 months ago
Derandomizing from Random Strings
—In this paper we show that BPP is truth-table reducible to the set of Kolmogorov random strings RK . It was previously known that PSPACE, and hence BPP is Turingreducible to RK ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
CIE
2009
Springer
13 years 11 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
FUIN
2008
108views more  FUIN 2008»
13 years 5 months ago
A Simple Proof of Miller-Yu Theorem
A few years ago a nice criterion of Martin-L
Laurent Bienvenu, Wolfgang Merkle, Alexander Shen
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 5 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...