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arXiv · 1206.6032

Characterizing model completeness among mutually algebraic structures

Michael C. Laskowski
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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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Michael C. Laskowski. 2012-06-26. Characterizing model completeness among mutually algebraic structures. https://doi.org/10.1215/00294527-3132815

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