A mixed logic with binary operators
Logic
2026-01-21 v2
Abstract
In previous work "Betweenness algebras" we introduced and examined the class of betweenness algebras. In the current paper we study a larger class of algebras with binary operators of possibility and sufficiency, the weak mixed algebras. Furthermore, we develop a system of logic with two binary modalities, sound and complete with respect to the class of frames closely related to the aforementioned algebras, and we prove an embedding theorem which solves an open problem from "Betweenness algebras".
Cite
@article{arxiv.2408.09581,
title = {A mixed logic with binary operators},
author = {Ivo Düntsch and Rafał Gruszczyński and Paula Menchón},
journal= {arXiv preprint arXiv:2408.09581},
year = {2026}
}