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» On the jump classes of noncuppable enumeration degrees
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JSYML
2011
45views more  JSYML 2011»
13 years 8 days ago
On the jump classes of noncuppable enumeration degrees
We prove that for every Σ0 2 enumeration degree b there exists a noncuppable Σ0 2 degree a > 0e such that b ≤e a and a ≤e b . This allows us to deduce, from results on the...
Charles M. Harris
AML
2010
80views more  AML 2010»
13 years 5 months ago
Goodness in the enumeration and singleton degrees
We investigate and extend the notion of a good approximation with respect to the enumeration (De) and singleton (Ds) degrees. We refine two results by Griffith, on the inversion of...
Charles M. Harris
APAL
2010
85views more  APAL 2010»
13 years 5 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