Geodesic
Categorical Horn classes.~2
Algebra i logika, Tome 49 (2010) no. 6, pp. 782-802.

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We come up with a quite efficient characterization of uncountably categorical Horn classes, which, in particular, implies that the classes in question are model complete. It is also worth mentioning the following results: quantifier elimination down to primitive formulas, a description of groups interpretable in models of categorical Horn theories, and a characterization of groups interpretable in models of almost strongly minimal Horn theories.
Keywords: categorical Horn class, model completeness, quantifier elimination down to primitive formulas, interpretability. 
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E. A. Palyutin. Categorical Horn classes.~2. Algebra i logika, Tome 49 (2010) no. 6, pp. 782-802. http://geodesic.mathdoc.fr/item/AL_2010_49_6_a4/

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