Advertisement

Russian Mathematics

, Volume 62, Issue 11, pp 76–80 | Cite as

On Distributions of Countable Models of Disjoint Unions of Ehrenfeucht Theories

  • S. V. Sudoplatov
Article
  • 8 Downloads

Abstract

We describe Rudin–Keisler preorders and distribution functions of numbers of limit models for disjoint unions of Ehrenfeucht theories. We also find decomposition formulas for these distributions.

Keywords

disjoint union of theories Ehrenfeucht theory distribution of countable models decomposition formula 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Kulpeshov, B. Sh., and Sudoplatov, S. V. “Distributions of Countable Models of Quite o–Minimal Ehrenfeucht Theories”, arXiv:1802.08078v1 [math.LO], 2018.Google Scholar
  2. 2.
    Sudoplatov, S. V. Classification of Countable Models of Complete Theories. Part 1 (NSTU Publisher, Novosibirsk, 2018).Google Scholar
  3. 3.
    Sudoplatov, S. V. Classification of Countable Models of Complete Theories. Part 2 (NSTU Publisher, Novosibirsk, 2018).Google Scholar
  4. 4.
    Millar, T. S. “Decidable Ehrenfeucht theories”, Proc. Sympos. PureMath. 42, 311–321 (1985).MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Benda, M. “Remarks on Countable Models”, Fund.Math. 81 (2), 107–119 (1974).MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Lascar, D. “Ordre de Rudin–Keisler et Poids dans les Theories Stables”, Z.Math. Logic Grundlagen Math. 28, 413–430 (1982).MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Sudoplatov, S. V. “Complete Theories with Finitely Many Countable Models. I”, Algebra and Logi. 28 (1), 62–69 (2004).MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    Sudoplatov, S. V. “Hypergraphs of Prime Models and Distributions of CountableModels of Small Theories”, J.Math. Sci. 169 (5), 680–695 (2010).MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    Woodrow R. E. Theories with a Finite Number of Countable Models and a Small Language, Ph. D. Thesis, Simon Fraser University, 1976.Google Scholar
  10. 10.
    Sudoplatov, S. V., Ovchinnikova, E. V. Discrete Mathematics: Textbook and Practical Work (Urait, Moscow, 2018) [in Russian].Google Scholar
  11. 11.
    Sudoplatov, S. V. “Inessential Combinations of Small Theories”, The Bulletin of Irkutsk State University. Series “Mathematics. 2, No. 2, 158–169 (2009).[in Russian].Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsSiberian Branch of RASNovosibirskRussia
  2. 2.Novosibirsk State Technical UniversityNovosibirskRussia
  3. 3.Novosibirsk State UniversityNovosibirskRussia

Personalised recommendations