一阶哥德尔逻辑中的克雷格插值属性

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2024-03-28 DOI:10.1016/j.fss.2024.108958

N.R. Tavana , M. Pourmahdian , S.M.A. Khatami

引用次数: 0

摘要

本文提出了一种模型理论方法，以证明与一阶关系语言相关的一阶哥德尔逻辑 G 及其扩展 GΔ 具有克雷格插值属性。这些结果部分地回答了 [1] 中提出的一个问题。

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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The Craig interpolation property in first-order Gödel logic

In this article, a model-theoretic approach is proposed to prove that the first-order Gödel logic, G, as well as its extension $G^{Δ}$ associated with first-order relational languages enjoy the Craig interpolation property. These results partially provide an affirmative answer to a question posed in [1].

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.