Priestley-style duality for filter-distributive congruential logics

Published 2 Mar 2020 in math.LO | (2003.00999v1)

Abstract: We first present a Priestley-style dualitiy for the classes of algebras that are the algebraic counterpart of some congruential, finitary and filter-distributive logic with theorems. Then we analyze which properties of the dual spaces correspond to properties that the logic might enjoy, like the deduction theorem or the existence of a disjunction.

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