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math.LO2014
Finitary reducibility on equivalence relations
Russell Miller, Keng Meng Ng
We introduce the notion of finitary computable reducibility on equivalence relations on the natural numbers. This is a weakening of the usual notion of computable reducibility, and…
math.LO2014
Turing degree spectra of differentially closed fields
David Marker, Russell Miller
The degree spectrum of a countable structure is the set of all Turing degrees of presentations of that structure. We show that every nonlow Turing degree lies in the spectrum of so…