paper

Existentially Closed Brouwerian Semilattices

arXiv:1702.08352 · doi:10.1017/jsl.2019.71

Abstract

The variety of Brouwerian semilattices is amalgamable and locally finite, hence by well-known results due to W. H. Wheeler, it has a model completion (whose models are the existentially closed structures). In this paper, we supply for such a model completion a finite and rather simple axiomatization.

35 pages with 3 figures, revised sections 3 and 4, minor corrections in sections 1, 2 and 5, results unchanged

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