Journal of Symbolic Logic 87 (1):21-46 (2022)

Abstract
Our main result is that there exist structures which cannot be computably recovered from their tree of tuples. This implies that there are structures with no computable copies which nevertheless cannot code any information in a natural/functorial way.
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DOI 10.1017/jsl.2019.92
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Definability and Computability.Yuri L. Ershov - 1998 - Studia Logica 61 (3):439-441.

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