Geodesic
Degree spectra of structures
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Tome 158 (2018), pp. 23-39

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In this survey, we discuss computability spectra of countable structures that provide a natural measure of noncomputability of a structure. This notion is a main tool of investigating algorithmic properties of countable structures. Along with a review of known results in this field, we present proofs of some new results to illustrate the method of interpretation which is a basic method of the field. We also discuss some remaining open questions.
Mots-clés : structure
Keywords: computable structure, spectrum of a structure, interpretation. 
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     title = {Degree spectra of structures},
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     publisher = {mathdoc},
     volume = {158},
     year = {2018},
     language = {ru},
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I. Sh. Kalimullin; V. L. Selivanov; A. N. Frolov. Degree spectra of structures. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Seminar on Algebra and Mathematical Logic of the Kazan (Volga Region) Federal University, Tome 158 (2018), pp. 23-39. http://geodesic.mathdoc.fr/item/INTO_2018_158_a1/