{ "id": "1702.08352", "version": "v1", "published": "2017-02-27T16:12:30.000Z", "updated": "2017-02-27T16:12:30.000Z", "title": "Existentially Closed Brouwerian Semilattices", "authors": [ "Luca Carai", "Silvio Ghilardi" ], "comment": "33 pages with 4 figures", "categories": [ "math.LO" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-02-27T16:12:30.000Z" } ], "analyses": { "keywords": [ "existentially closed brouwerian semilattices", "model completion", "well-known results", "simple axiomatization", "existentially closed structures" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable" } } }