Analogical proportions in monounary algebras
Artificial Intelligence
2023-10-12 v3 Discrete Mathematics
Logic in Computer Science
Abstract
This paper studies analogical proportions in monounary algebras consisting only of a universe and a single unary function. We show that the analogical proportion relation is characterized in the infinite monounary algebra formed by the natural numbers together with the successor function via difference proportions.
Cite
@article{arxiv.2208.06829,
title = {Analogical proportions in monounary algebras},
author = {Christian Antić},
journal= {arXiv preprint arXiv:2208.06829},
year = {2023}
}