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EXISTENTIALLY CLOSED BROUWERIAN SEMILATTICES

Published online by Cambridge University Press:  15 October 2019

LUCA CARAI  and
SILVIO GHILARDI
LUCA CARAI
Affiliation:
DEPARTMENT OF MATHEMATICAL SCIENCES NEW MEXICO STATE UNIVERSITY 1290 FRENGER MALL LAS CRUCES, NM 88003-8001, USA E-mail: [email protected]
SILVIO GHILARDI
Affiliation:
DIPARTIMENTO DI MATEMATICA UNIVERSITÁ DEGLI STUDI DI MILANO VIA CESARE SALDINI 50 20133 MILANO, ITALY E-mail: [email protected]
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Abstract

The 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.

Keywords

Primary 03G25Secondary 03C10, 06D20Brouwerian semilatticesexistentially closed structuresfinite duality
Type
Articles
Information
The Journal of Symbolic Logic , Volume 84 , Issue 4 , December 2019 , pp. 1544 - 1575
Copyright
Copyright © The Association for Symbolic Logic 2019 

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