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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 3, Pages 498–512
DOI: https://doi.org/10.17377/smzh.2015.56.303 (Mi smj2655) 		 
This article is cited in 18 scientific papers (total in 18 papers)

The index set of Boolean algebras autostable relative to strong constructivizations

S. S. Goncharovab, N. A. Bazhenovba, M. I. Marchuka

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (363 kB) Citations (18)
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DOI: https://doi.org/10.17377/smzh.2015.56.303
Abstract: We obtain exact estimates for the algorithmic complexity for the classes of strongly constructivizable computable models autostable relative to strong constructivizations and belonging to the following natural classes: Boolean algebras, distributive lattices, rings, commutative semigroups, and partial orders.
Keywords: computable model, strongly constructivizable model, autostability, autostability relative to strong constructivizations, Boolean algebra, distributive lattice, ring, commutative semigroup, partial order, hyperarithmetic hierarchy, index set.
Received: 18.03.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 3, Pages 393–404
DOI: https://doi.org/10.1134/S0037446615030039
Bibliographic databases:
Document Type: Article
UDC: 510.5+512.563
Language: Russian
Citation: S. S. Goncharov, N. A. Bazhenov, M. I. Marchuk, “The index set of Boolean algebras autostable relative to strong constructivizations”, Sibirsk. Mat. Zh., 56:3 (2015), 498–512; Siberian Math. J., 56:3 (2015), 393–404
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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