Approximations of theories

Authors

  • Сергей Владимирович Судоплатов Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk State Technical University

Keywords:

approximation of theory, combination of structures, closure, finitely axiomatizable theory, $e$-spectrum

Abstract

We study approximations of theories both in general context and with respect to some natural classes of theories. Some kinds of approximations are considered, connections with finitely axiomatizable theories and minimal generating sets of theories as well as their $e$-spectra are found. $e$-categorical approximating families are introduced and characterized.

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Published

2019-12-19

Issue

Vol. 17 (2020)

Section

Mathematical logic, algebra and number theory

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