Model completions and omitting types

Journal of Symbolic Logic 60 (2):654-672 (1995)
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Abstract

Universal theories with model completions are characterized. A new omitting types theorem is proved. These two results are used to prove the existence of a universal ℵ 0 -categorical partial order with an interesting embedding property. Other aspects of these results also are considered

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References found in this work

Model Theory.Michael Makkai, C. C. Chang & H. J. Keisler - 1991 - Journal of Symbolic Logic 56 (3):1096.
A decidable Ehrenfeucht theory with exactly two hyperarithmetic models.Robert C. Reed - 1991 - Annals of Pure and Applied Logic 53 (2):135-168.

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