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Preprint Number 2059

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2059. Bektur Baizhanov and Tatyana Zambarnaya
Constructing models of small ordered theories with maximal countable spectrum
E-mail: ,

Submission date: 27 September 2021

Abstract:

We present a method for constructing countable models of small theories, and apply it to prove theorems on maximal number of countable non-isomorphic models of linearly ordered theories.

Mathematics Subject Classification: 03C64, 03C15

Keywords and phrases: Small theory, linear order, countable model, number of countable models, convex formula, finite diagram

Full text arXiv 2109.14877: pdf, ps.


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