Analogical proportions in monounary algebras

IF 1.2 4区计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Annals of Mathematics and Artificial Intelligence Pub Date : 2024-02-10 DOI:10.1007/s10472-023-09921-7

Christian Antić

引用次数: 0

Abstract

This paper studies analogical proportions in monounary algebras consisting only of a universe and a single unary function, where we analyze the role of congruences, and 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.

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单名代数中的类比比例

本文研究了仅由一个宇宙和一个单值函数组成的单值代数中的类比比例，我们分析了全等的作用，并证明了类比比例关系在由自然数和后继函数通过差分比例构成的无限单值代数中的特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Mathematics and Artificial Intelligence 工程技术-计算机：人工智能

CiteScore

3.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： Annals of Mathematics and Artificial Intelligence presents a range of topics of concern to scholars applying quantitative, combinatorial, logical, algebraic and algorithmic methods to diverse areas of Artificial Intelligence, from decision support, automated deduction, and reasoning, to knowledge-based systems, machine learning, computer vision, robotics and planning. The journal features collections of papers appearing either in volumes (400 pages) or in separate issues (100-300 pages), which focus on one topic and have one or more guest editors. Annals of Mathematics and Artificial Intelligence hopes to influence the spawning of new areas of applied mathematics and strengthen the scientific underpinnings of Artificial Intelligence.