A Lindström theorem for intuitionistic first-order logic

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2023-07-26 DOI:10.1016/j.apal.2023.103346

Grigory Olkhovikov , Guillermo Badia , Reihane Zoghifard

引用次数: 0

Abstract

We extend the main result of [1] to the first-order intuitionistic logic (with and without equality), showing that it is a maximal (with respect to expressive power) abstract logic satisfying a certain form of compactness, the Tarski union property and preservation under asimulations. A similar result is also shown for the intuitionistic logic of constant domains.

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直觉一阶逻辑的Lindström定理

我们将[1]的主要结果推广到一阶直觉逻辑（有等式和无等式），证明它是一个满足某种形式的紧致性、Tarski并集性质和在模拟下的保持性的最大抽象逻辑（关于表达能力）。对于常域的直觉逻辑也给出了类似的结果。

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 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.