On a Weak Conditional

Logic Journal of the IGPL 28 (6):1106-1129 (2020)
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Abstract

It is well-known that adding to a lattice the usual relative meet complement is not conservative, in the sense that distributivity is implied. In this paper we consider a weak relative meet complement that does not have the mentioned effect. We mostly study the mentioned operation from an algebraic point of view. However, we also provide a Hilbert-style axiomatization for its corresponding assertional logic.

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References found in this work

Binomial pairs, semi-Brouwerian and Brouwerian semilattices.Jürgen Schmidt - 1978 - Notre Dame Journal of Formal Logic 19 (3):421-434.
Sur la Porté du Théorème Löwenheim-Skolem.Thoralf Skolem - 1970 - In Th Skolem & Jens Erik Fenstad, Selected works in logic. Oslo,: Universitetsforlaget. pp. 455--82.

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