
arXiv: 1702.08352
AbstractThe variety of Brouwerian semilattices is amalgamable and locally finite; hence, by well-known results [19], it has a model completion (whose models are the existentially closed structures). In this article, we supply a finite and rather simple axiomatization of the model completion.
Brouwerian semilattice, finite duality, Heyting algebras (lattice-theoretic aspects), FOS: Mathematics, 03G25 (Primary), 03C10, 06D20 (Secondary), Quantifier elimination, model completeness, and related topics, Semilattices, Mathematics - Logic, Logic (math.LO), existentially closed structure, Other algebras related to logic
Brouwerian semilattice, finite duality, Heyting algebras (lattice-theoretic aspects), FOS: Mathematics, 03G25 (Primary), 03C10, 06D20 (Secondary), Quantifier elimination, model completeness, and related topics, Semilattices, Mathematics - Logic, Logic (math.LO), existentially closed structure, Other algebras related to logic
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