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 |
References:
| [1] | E. B. Fokina, I. Kalimullin, and R. Miller, “Degrees of categoricity of computable structures,” Arch. Math. Log., 49, No. 1, 51-67 (2010). · Zbl 1184.03026 · doi:10.1007/s00153-009-0160-4 |
| [2] | B. F. Csima, J. N. Franklin, and R. A. Shore, “Degrees of categoricity and the hyperarithmetic hierarchy,” Notre Dame J. Form. Log., 54, No. 2, 215-231 (2013). · Zbl 1311.03070 · doi:10.1215/00294527-1960479 |
| [3] | R. Miller, “<Emphasis Type=”Bold“>d-Computable categoricity for algebraic fields,” J. Symb. Log., 74, No. 4, 1325-1351 (2009). · Zbl 1202.03044 · doi:10.2178/jsl/1254748694 |
| [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] | E. Fokina, A. Frolov, and I. Kalimullin, “Categoricity spectra for rigid structures,” Notre Dame J. Form. Log., 57, No. 1, 45-57 (2016). · Zbl 1359.03030 · doi:10.1215/00294527-3322017 |
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