Profiniteness, monadicity and universal models in modal logic

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2024-04-15 DOI:10.1016/j.apal.2024.103454

Matteo De Berardinis, Silvio Ghilardi

引用次数: 0

Abstract

Taking inspiration from the monadicity of complete atomic Boolean algebras, we prove that profinite modal algebras are monadic over Set. While analyzing the monadic functor, we recover the universal model construction - a construction widely used in the modal logic literature for describing finitely generated free modal algebras and the essentially finite generated subframes of their canonical models.

查看原文本刊更多论文

模态逻辑中的轮廓性、一元性和普遍模型

从完全原子布尔代数的一元性中得到启发，我们证明了无穷模态代数在......上是一元的。在分析一元函数的同时，我们恢复了普遍模型构造--一种在模态逻辑文献中广泛使用的构造，用于描述有限生成的自由模态数组及其典型模型的本质上有限生成的子框架。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.