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Algebra Logika, 2006, Volume 45, Number 5, Pages 507–519 (Mi al157)  

This article is cited in 6 scientific papers (total in 6 papers)

Complexity of Ehrenfeucht models

A. N. Gavryushkin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We look at examples of Ehrenfeucht theories possessing constructive models and countable models of different complexities, and estimate complexity of the Ehrenfeucht theories having constructive models.

Keywords: Ehrenfeucht theory, constructive model

Full text: PDF file (194 kB)
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English version:
Algebra and Logic, 2006, 45:5, 289–295

Bibliographic databases:

UDC: 510.53+510.67
Received: 26.10.2004
Revised: 06.09.2006

Citation: A. N. Gavryushkin, “Complexity of Ehrenfeucht models”, Algebra Logika, 45:5 (2006), 507–519; Algebra and Logic, 45:5 (2006), 289–295

Citation in format AMSBIB
\Bibitem{Gav06}
\by A.~N.~Gavryushkin
\paper Complexity of Ehrenfeucht models
\jour Algebra Logika
\yr 2006
\vol 45
\issue 5
\pages 507--519
\mathnet{http://mi.mathnet.ru/al157}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2307692}
\zmath{https://zbmath.org/?q=an:1164.03327}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 5
\pages 289--295
\crossref{https://doi.org/10.1007/s10469-006-0027-2}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750684991}


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    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:
    1. A. N. Gavryushkin, “Spectra of computable models for Ehrenfeucht theories”, Algebra and Logic, 46:3 (2007), 149–157  mathnet  crossref  mathscinet  zmath  isi
    2. S. S. Goncharov, “Autostability of prime models under strong constructivizations”, Algebra and Logic, 48:6 (2009), 410–417  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    3. A. N. Gavryushkin, “O konstruktivnykh modelyakh teorii s lineinym poryadkom Rudina–Keislera”, Vestn. NGU. Ser. matem., mekh., inform., 9:2 (2009), 30–37  mathnet
    4. S. S. Goncharov, “On autostability of almost prime models relative to strong constructivizations”, Russian Math. Surveys, 65:5 (2010), 901–935  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. A. N. Gavryushkin, “Novyi spektr vychislimykh modelei”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 3:4 (2010), 7–20  mathnet
    6. Gavryushkin A., “On Constructive Models of Theories with Linear Rudin-Keisler Ordering”, J. Logic Comput., 22:4, SI (2012), 793–805  crossref  mathscinet  zmath  isi  elib  scopus
  • Алгебра и логика Algebra and Logic
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