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Relative to any nonrecursive set
Authors:Theodore A Slaman
Institution:Department of Mathematics, The University of Chicago, Chicago, Illinois 60637
Abstract:There is a countable first order structure $\mathfrak{M}$ such that for any set of integers $X$, $X$ is not recursive if and only if there is a presentation of $\mathfrak{M}$ which is recursive in $X$.

Keywords:Recursive model theory
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