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» The ibT degrees of computably enumerable sets are not dense
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APAL
2010
85views more  APAL 2010»
14 years 10 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
68
Voted
APAL
1998
71views more  APAL 1998»
14 years 10 months ago
Splitting Theorems and the Jump Operator
We investigate the relationship of (jumps of) the degrees of splittings of a computably enumerable set and the degree of the set. We prove that there is a high computably enumerab...
Rodney G. Downey, Richard A. Shore
FCS
2009
14 years 8 months ago
Spectral Analysis of Attractors in Random Boolean Network Models
Circuits and loops in graph systems can be used to model the attractors in gene-regulatory networks. The number of such attractors grows very rapidly with network size and even fo...
Kenneth A. Hawick
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
15 years 10 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
70
Voted
APAL
2005
88views more  APAL 2005»
14 years 10 months ago
Completing pseudojump operators
We investigate operators which take a set X to a set relatively computably enumerable in and above X by studying which such sets X can be so mapped into the Turing degree of K. We...
Richard Coles, Rodney G. Downey, Carl G. Jockusch ...