Isomorphism relations on computable structures

Journal of Symbolic Logic 77 (1):122-132 (2012)
We study the complexity of the isomorphism relation on classes of computable structures. We use the notion of FF-reducibility introduced in [9] to show completeness of the isomorphism relation on many familiar classes in the context of all ${\mathrm{\Sigma }}_{1}^{1}$ equivalence relations on hyperarithmetical subsets of ω
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DOI 10.2178/jsl/1327068695
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Alexander G. Melnikov (2014). Computable Abelian Groups. Bulletin of Symbolic Logic 20 (3):315-356,.

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