BETWEENNESS ALGEBRAS
Ivo Düntsch, Rafał Gruszczyński, Paula Menchón · Journal of Symbolic Logic · 2023
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 .