A MIXED LOGIC WITH BINARY OPERATORS
Abstract
Abstract In previous work [4] we introduced and examined the class of betweenness algebras. In the current article 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 [4].
Fields of Study & Subjects
Quantum Computing Algorithms and Architecture
Advanced Algebra and Logic
Publication details
- Journal / source
- Journal of Symbolic Logic
- Publisher
- Cambridge University Press (CUP)
- Pages
- 1–24
- Publication date
- 15 January 2026
- Language
- EN