The Groupoid-Based Logic for Lattice Effect Algebras

Investor logo

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

CHAJDA Ivan LÄNGER Helmut PASEKA Jan

Year of publication 2017
Type Article in Proceedings
Conference 2017 IEEE 47TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2017)
MU Faculty or unit

Faculty of Science

Citation
Web http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=7964996
Doi http://dx.doi.org/10.1109/ISMVL.2017.15
Field General mathematics
Keywords D-poset; effect algebra; lattice effect algebra; antitone involution; effect groupoid; groupoid-based logic
Description 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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.