English

Existentially Closed Brouwerian Semilattices

Logic 2020-02-19 v2

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.

Keywords

Cite

@article{arxiv.1702.08352,
  title  = {Existentially Closed Brouwerian Semilattices},
  author = {Luca Carai and Silvio Ghilardi},
  journal= {arXiv preprint arXiv:1702.08352},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-22T18:29:35.084Z