This article is cited in 7 papers

Distributions of countable models of quite $o$-minimal Ehrenfeucht theories

B. Sh. Kulpeshov^ab, S. V. Sudoplatov<sup>cde

a</sup> School of Mathematics and Cybernetics, Kazakh-British Technical University, 59 Tole bi St, 050000 Almaty, Kazakhstan
^b Institute of Mathematics and Mathematical Modeling, 125 Pushkin St, 050010 Almaty, Kazakhstan
^c Laboratory of Logic Systems, Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences, 4 Academician Koptyug Avenue, 630090 Novosibirsk, Russia
^d Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, 20 K. Marx Avenue, 630073 Novosibirsk, Russia
^e Chair of Algebra and Mathematical Logic, Novosibirsk State University, 1 Pirogov St, 630090 Novosibirsk, Russia

Abstract: We describe Rudin–Keisler preorders and distribution functions of numbers of limit models for quite $o$-minimal Ehrenfeucht theories. Decomposition formulas for these distributions are found.

Keywords and phrases: quite $o$-minimal theory, Ehrenfeucht theory, distribution of countable models, decomposition formula.

MSC: 03C64, 03C07, 03C15, 03C50

Received: 29.08.2018

Language: English

DOI: 10.32523/2077-9879-2020-11-3-66-78

Bibliographic databases:

• 
•