Characterizing Model Completeness Among Mutually Algebraic Structures

Notre Dame Journal of Formal Logic 56 (3):463-470 (2015)
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Abstract

We characterize when the elementary diagram of a mutually algebraic structure has a model complete theory, and give an explicit description of a set of existential formulas to which every formula is equivalent. This characterization yields a new, more constructive proof that the elementary diagram of any model of a strongly minimal, trivial theory is model complete.

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10.1215/00294527-3132815

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