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Computable Linear Orders and the Ershov Hierarchy

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We give the collection of relations on computable linear orders. For any natural number n, the degree spectrum of such relations of some computable linear orders contains exactly all n-computable… Click to show full abstract

We give the collection of relations on computable linear orders. For any natural number n, the degree spectrum of such relations of some computable linear orders contains exactly all n-computable enumerable degrees. We also study interconnections of these relations among themselves.

Keywords: computable linear; orders ershov; linear orders; ershov hierarchy

Journal Title: Russian Mathematics
Year Published: 2018

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