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This article is cited in 5 scientific papers (total in 5 papers)
Autostability of prime models under strong constructivizations
S. S. Goncharovab
a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We furnish an example of an Ehrenfeucht theory whose prime model is autostable under strong constructivizations and there exists a prime model in a finite expansion by constants that is nonautostable under strong constructivizations of the theory constructed.
Keywords:
Ehrenfeucht theory, prime model, autostability, strong constructivization.
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English version:
Algebra and Logic, 2009, 48:6, 410–417
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UDC:
510.5+510.67
Received: 20.10.2009
Citation:
S. S. Goncharov, “Autostability of prime models under strong constructivizations”, Algebra Logika, 48:6 (2009), 729–740; Algebra and Logic, 48:6 (2009), 410–417
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/al421 http://mi.mathnet.ru/eng/al/v48/i6/p729
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
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This publication is cited in the following articles:
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S. S. Goncharov, “On autostability of almost prime models relative to strong constructivizations”, Russian Math. Surveys, 65:5 (2010), 901–935
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S. S. Goncharov, “Degrees of autostability relative to strong constructivizations”, Proc. Steklov Inst. Math., 274 (2011), 105–115
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Fokina E.B. Harizanov V. Melnikov A., “Computable Model Theory”, Turing'S Legacy: Developments From Turing'S Ideas in Logic, Lecture Notes in Logic, 42, ed. Downey R., Cambridge Univ Press, 2014, 124–194
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E. B. Fokina, S. S. Goncharov, V. Harizanov, O. V. Kudinov, D. Turetsky, “Index sets for $n$-decidable structures categorical relative to $m$-decidable presentations”, Algebra and Logic, 54:4 (2015), 336–341
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M. I. Marchuk, “Indeksnoe mnozhestvo avtoustoichivykh uporyadochennykh abelevykh grupp”, Matem. tr., 23:1 (2020), 169–176
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