The groupoid-based logic for lattice effect algebras
arXiv:1810.05498 · doi:10.1109/ISMVL.2017.15
Abstract
The aim of the paper is to establish a certain logic corresponding to lattice effect algebras. First, we answer a natural question whether a lattice effect algebra can be represented by means of a groupoid-like structure. We establish a one-to-one correspondence between lattice effect algebras and certain groupoids with an antitone involution. Using these groupoids, we are able to introduce a suitable logic for lattice effect algebras.
7 pages