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arXiv · 1810.05498

The groupoid-based logic for lattice effect algebras

I. Chajda·H. Länger·J. Paseka
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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.

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BibTeXRIS

I. Chajda, H. Länger, J. Paseka. 2018-10-12. The groupoid-based logic for lattice effect algebras. https://doi.org/10.1109/ismvl.2017.15

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