Questions tagged [arithmetic-degree]
Use to describe questions about the structure of the arithmetic degrees (subsets of N under the relation of relative arithmetic definability) as used in higher computability theory.
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Is $0^{(\omega)}$ a minimal cover in the arithmetic degrees
Is it known if $0^{(\omega)}$ a minimal cover in the arithmetic degrees? In the Turing degrees to show that $0'$ (indeed $0^{(n)}$) isn't a minimal cover one uses the density of r.e. degrees. ...