|
This article is cited in 4 scientific papers (total in 4 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.
 Full text:
PDF file (186 kB)
References:
PDF file
HTML file
English version:
Algebra and Logic, 2009, 48:6, 410–417
Bibliographic databases:
    
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
\Bibitem{Gon09}
\by S.~S.~Goncharov
\paper Autostability of prime models under strong constructivizations
\jour Algebra Logika
\yr 2009
\vol 48
\issue 6
\pages 729--740
\mathnet{http://mi.mathnet.ru/al421}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2640962}
\zmath{https://zbmath.org/?q=an:1241.03043}
\elib{http://elibrary.ru/item.asp?id=12977388}
\transl
\jour Algebra and Logic
\yr 2009
\vol 48
\issue 6
\pages 410--417
\crossref{https://doi.org/10.1007/s10469-009-9072-y}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000273168500002}
\elib{http://elibrary.ru/item.asp?id=15302006}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949268303}
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,
English articles
This publication is cited in the following articles:
-
S. S. Goncharov, “On autostability of almost prime models relative to strong constructivizations”, Russian Math. Surveys, 65:5 (2010), 901–935
  -
S. S. Goncharov, “Degrees of autostability relative to strong constructivizations”, Proc. Steklov Inst. Math., 274 (2011), 105–115
-
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
-
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
|
| Number of views: |
| This page: | 299 | | Full text: | 65 | | References: | 34 | | First page: | 10 |
|
Terms of Use