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math.LO2014
Representing Scott sets in algebraic settings
Alf Dolich, Julia Knight, Karen Lange +1
We prove that for every Scott set there are -saturated real closed fields and models of Presburger arithmetic.
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…