有条件的代数

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2025-02-05 DOI:10.1016/j.apal.2025.103556

Sergio Celani , Rafał Gruszczyński , Paula Menchón

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引用次数: 0

摘要

在Chellas[8]的经典论文的基础上，我们提出了一个研究二元条件运算的一般代数框架，该运算模拟了与一元模态必然算子严格相关的“if…，then…”连接符的普遍特征。为此，我们引入了各种条件代数，并发展了它的对偶性和正则扩展理论。

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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Conditional algebras

Drawing on the classic paper by Chellas [8], we propose a general algebraic framework for studying a binary operation of conditional that models universal features of the “if …, then …” connective as strictly related to the unary modal necessity operator. To this end, we introduce a variety of conditional algebras, and we develop its duality and canonical extensions theory.

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.