164 search results - page 3 / 33 » The Kolmogorov complexity of random reals |
JSYML
2006
13 years 5 months ago
2006
Levin and Schnorr (independently) introduced the monotone complexity, Km(), of a binary string . We use monotone complexity to define the relative complexity (or relative randomnes...
ENTCS
2002
13 years 5 months ago
2002
Solovay showed that there are noncomputable reals such that H( n) H(1n) + O(1), where H is prefix-free Kolmogorov complexity. Such H-trivial reals are interesting due to the conn...
CIE
2006
Springer
13 years 9 months ago
2006
Springer
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
MFCS
2009
Springer
13 years 10 months ago
2009
Springer
Abstract. A Solovay function is a computable upper bound g for prefixfree Kolmogorov complexity K that is nontrivial in the sense that g agrees with K, up to some additive constan...
EATCS
1998
13 years 5 months ago
1998
Experiments have shown [2] that we can only memorize images up to a certain complexity level, after which, instead of memorizing the image itself, we, sort of, memorize a probabil...