Countable Models of Complete Ordered Theories

2023

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DOI 10.1134/s106456242360077x
Data confidence 70 medium
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Abstract

Abstract The article consists of observations regarding complete theories of countable signatures and their countable models. We provide a construction of a countable linearly ordered theory that has the same number of countable non-isomorphic models as the given countable, not necessarily linearly ordered, theory.