Furthermore we see that the initial segments below 1-generic degrees are not order isomorphic. As 1-generic degrees are not r.e., relative recursive ...
that the initial segments below 1-generic degrees are not order isomorphic. As 1-generic degrees are not r.e., relative recursive enumerability of n-generic.
Mar 12, 2014 · The relation between generic degrees and minimal degrees has been widely studied. Spector [9] proved the existence of minimal degrees.
This chapter discusses relative recursive enumerability. It presents a theorem that was first suggested by a conjecture of Cooper.
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Dec 12, 2015 · We show that every nonzero Δ 2 0 enumeration degree bounds the enumeration degree of a 1-generic set. We also point out that the enumeration ...
Relative Recursive Enumerability of Generic Degrees · Masahiro Kumabe · Journal of Symbolic Logic 56 (3):1075-1084 (1991) ...
A set of natural numbers B is computably enumerable in and strictly above (or c.e.a. for short) another set C if C < T B and B is computably enumerable in ...
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theory, since they are the degrees of those sets whose characteristic functions are limits of recursive functions. A natural tool for understanding the ...
The decision problem for a poset P is the following: find an algorithm for determining if a given sentence of L is true in P. Now the sentences of L can express ...
In the universe of Turing degrees, c.e.a. degrees are almost everywhere. From a topological point of view, Jockusch [5] proved that every 1-generic is c.e.a. ...