The fixed point and the Craig interpolation properties for sublogics of $\textbf{IL}$

IF 0.3 4区数学 Q1 Arts and Humanities

Archive for Mathematical Logic Pub Date : 2023-06-10 DOI:10.1007/s00153-023-00882-6

Sohei Iwata, Taishi Kurahashi, Yuya Okawa

引用次数: 0

Abstract

We study the fixed point property and the Craig interpolation property for sublogics of the interpretability logic $\textbf{IL}$. We provide a complete description of these sublogics concerning the uniqueness of fixed points, the fixed point property and the Craig interpolation property.

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$$\textbf{IL}子逻辑的不动点和Craig插值性质$$

我们研究了可解释性逻辑 $\textbf{IL}$ 的子逻辑的定点性质和克雷格插值性质。我们提供了这些子逻辑关于定点唯一性、定点性质和克雷格插值性质的完整描述。

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

Archive for Mathematical Logic MATHEMATICS-LOGIC

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.

The fixed point and the Craig interpolation properties for sublogics of \(\textbf{IL}\)

Abstract