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Degrees of categoricity vs. strong degrees of categoricity. (English. Russian original) Zbl 1402.03066

Algebra Logic 55, No. 2, 173-177 (2016); translation from Algebra Logika 55, No. 2, 257-263 (2016).

MSC:

03D45 Theory of numerations, effectively presented structures
03C57 Computable structure theory, computable model theory
03C35 Categoricity and completeness of theories
03D28 Other Turing degree structures
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References:

[1] Fokina, EB; Kalimullin, I; Miller, R, Degrees of categoricity of computable structures, Arch. Math. Log., 49, 51-67, (2010) · Zbl 1184.03026
[2] Csima, BF; Franklin, JN; Shore, RA, Degrees of categoricity and the hyperarithmetic hierarchy, Notre Dame J. Form. Log., 54, 215-231, (2013) · Zbl 1311.03070
[3] Miller, R, d-computable categoricity for algebraic fields, J. Symb. Log., 74, 1325-1351, (2009) · Zbl 1202.03044
[4] B. A. Anderson and B. F. Csima, “Degrees that are not degrees of categoricity,” to appear in Notre Dame J. Form. Log.. · Zbl 1436.03229
[5] N. A. Bazhenov, “Autostability spectra for Boolean algebras,” Algebra and Logic, 53, No. 6, 502-505 (2015). · Zbl 1355.03028
[6] Fokina, E; Frolov, A; Kalimullin, I, Categoricity spectra for rigid structures, Notre Dame J. Form. Log., 57, 45-57, (2016) · Zbl 1359.03030
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