逻辑 QHC 和 QH4 的 Cardinality Reduction Theorem for Logics QHC 和 QH4

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2023-11-08 DOI:10.1007/s10469-023-09715-0

A. A. Onoprienko

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引用次数: 0

摘要

研究了梅利霍夫（S. A. Melikhov）提出的问题与命题联合逻辑 QHC 以及直觉模态逻辑 QH4。研究考虑了这些逻辑对经典一阶谓词逻辑的沉浸。建立了关于 QHC 和 QH4 存在可数基本子模型的 Löwenheim-Skolem 类似定理。

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Cardinality Reduction Theorem for Logics QHC and QH4

The joint logic of problems and propositions QHC introduced by S. A. Melikhov, as well as intuitionistic modal logic QH4, is studied. An immersion of these logics into classical first-order predicate logic is considered. An analog of the Löwenheim–Skolem theorem on the existence of countable elementary submodels for QHC and QH4 is established.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.