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Algebra i logika, 2021, Volume 60, Number 3, Pages 303–312 (Mi al2665)  
This article is cited in 2 scientific papers (total in 2 papers)

The degree of decidable categoricity of a model with infinite solutions for complete formulas

S. S. Goncharovab, M. I. Marchuka

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (223 kB) Citations (2)
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Abstract: We construct a decidable prime model in which the degree of a set of complete formulas is equal to $\mathbf{0}'$, infinitely many tuples of elements comply with every complete formula, and the decidable categoricity spectrum coincides with the set of all $PA$-degrees.
Keywords: computable model, decidable model, computable categoricity, autostability relative to strong constructivizations, degree of decidable categoricity, decidable categoricity spectrum, $PA$-degree.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
Russian Foundation for Basic Research 20-01-00300
Supported by RFBR, project No. 20-01-00300. Supported byMathematical Center in Akademgorodok, Agreement with RFMinistry of Education and Science No. 075-15-2019-1613.
Received: 15.07.2021
Revised: 18.10.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 3, Pages 200–206
DOI: https://doi.org/10.1007/s10469-021-09642-y
Bibliographic databases:
Document Type: Article
UDC: 510.5+512.563
Language: Russian
Citation: S. S. Goncharov, M. I. Marchuk, “The degree of decidable categoricity of a model with infinite solutions for complete formulas”, Algebra Logika, 60:3 (2021), 303–312; Algebra and Logic, 60:3 (2021), 200–206
Citation in format AMSBIB
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\by S.~S.~Goncharov, M.~I.~Marchuk
\paper The degree of decidable categoricity of a model with infinite solutions for complete formulas
\jour Algebra Logika
\yr 2021
\vol 60
\issue 3
\pages 303--312
\mathnet{http://mi.mathnet.ru/al2665}
\transl
\jour Algebra and Logic
\yr 2021
\vol 60
\issue 3
\pages 200--206
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :28
    References:23
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