References
S. S. Goncharov and Yu. L. Ershov, Constructive Models, Sib. School Alg. Log. [in Russian], Nauch. Kniga, Novosibirsk (1999).
C. J. Ash and J. F. Knight, Computable Structures and the Hyperarithmetical Hierarchy, Stud. Log. Found. Math., 144, Elsevier, Amsterdam (2000).
E. B. Fokina, I. Kalimullin, and R. Miller, “Degrees of categoricity of computable structures,” Arch. Math. Log., 49, No. 1, 51–67 (2010).
B. F. Csima, J. N. Franklin, and R. A. Shore, “Degrees of categoricity and the hyperarithmetic hierarchy,” Notre Dame J. Formal Log., 54, No. 2, 215–231 (2013).
S. S. Goncharov, “Degrees of autostability relative to strong constructivizations,” Trudy MIAN, 274, 119–129 (2011).
S. S. Goncharov and M. I. Marchuk, “Index sets of constructive models that are autostable under strong constructivizations,” Vestnik NGU, Mat., Mekh., Inf., 13, No. 4, 43–67 (2013).
S. S. Goncharov, Countable Boolean Algebras and Decidability, Sib. School Alg. Log. [in Russian], Nauch. Kniga, Novosibirsk (1996).
N. A. Bazhenov, “Degrees of categoricity for superatomic Boolean algebras,” Algebra and Logic, 52, No. 3, 179–187 (2013).
N. A. Bazhenov, “Δ2 0-categoricity of Boolean algebras,” Vestnik NGU, Mat., Mekh., Inf., 13, No. 2, 3–14 (2013).
N. A. Bazhenov, “Degrees of autostability relative to strong constructivizations for Boolean algebras,” to appear in Algebra and Logic.
Yu. L. Ershov, “Decidability of the elementary theory of relatively complemented distributive lattices and the theory of filters,” Algebra Logika, 3, No. 3, 17–38 (1964).
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Supported by RFBR (project No. 14-01-00376), by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-860.2014.1), and by the Russian Ministry of Education and Science (gov. contract No. 2014/139) (N. A. Bazhenov).
Translated from Algebra i Logika, Vol. 53, No. 6, pp. 764–769, November-December, 2014.
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Bazhenov, N.A. Autostability Spectra for Boolean Algebras. Algebra Logic 53, 502–505 (2015). https://doi.org/10.1007/s10469-015-9311-3
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DOI: https://doi.org/10.1007/s10469-015-9311-3