BETWEENNESS ALGEBRAS

Author:

DÜNTSCH IVOORCID,GRUSZCZYŃSKI RAFAŁORCID,MENCHÓN PAULAORCID

Abstract

Abstract We introduce and study a class of betweenness algebras—Boolean algebras with binary operators, closely related to ternary frames with a betweenness relation. From various axioms for betweenness, we chose those that are most common, which makes our work applicable to a wide range of betweenness structures studied in the literature. On the algebraic side, we work with two operators of possibility and of sufficiency.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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