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FUIN
2008
108views more  FUIN 2008»
14 years 11 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
CIKM
2008
Springer
15 years 1 months ago
Information shared by many objects
If Kolmogorov complexity [25] measures information in one object and Information Distance [4, 23, 24, 42] measures information shared by two objects, how do we measure information...
Chong Long, Xiaoyan Zhu, Ming Li, Bin Ma
STACS
2005
Springer
15 years 5 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»
15 years 3 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...
CSR
2011
Springer
14 years 3 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov