Logic-based analogical proportions

Fuente: arXiv
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Autor principal: Antić, Christian
Formato: Preprint
Publicado: 2024
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author Antić, Christian
author_facet Antić, Christian
contents The author has recently introduced an abstract algebraic framework of analogical proportions within the general setting of universal algebra. The purpose of this paper is to lift that framework from universal algebra to the strictly more expressive setting of full first-order logic. We show that the so-obtained logic-based framework preserves all desired properties and we prove novel results in that extended setting.
format Preprint
id arxiv_https___arxiv_org_abs_2406_14402
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Logic-based analogical proportions
Antić, Christian
Logic in Computer Science
Discrete Mathematics
Logic
The author has recently introduced an abstract algebraic framework of analogical proportions within the general setting of universal algebra. The purpose of this paper is to lift that framework from universal algebra to the strictly more expressive setting of full first-order logic. We show that the so-obtained logic-based framework preserves all desired properties and we prove novel results in that extended setting.
title Logic-based analogical proportions
topic Logic in Computer Science
Discrete Mathematics
Logic
url https://arxiv.org/abs/2406.14402