有限时宽的幂与模态逻辑的正则性

IF 0.9 3区数学 Q1 LOGIC

Review of Symbolic Logic Pub Date : 2023-03-22 DOI:10.1017/s1755020323000060

ROBERT GOLDBLATT, IAN HODKINSON

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引用次数: 0

摘要

摘要:我们发展了一种方法来证明各种模态逻辑在其可数生成的规范Kripke框架中有效，也必须在其不可数生成的规范Kripke框架中有效。这适用于许多系统，包括有限宽度的逻辑，以及这里介绍的更广泛的“有限非历时宽度”的多模态逻辑。

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CANONICITY IN POWER AND MODAL LOGICS OF FINITE ACHRONAL WIDTH

Abstract We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of ‘finite achronal width’ that are introduced here.

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来源期刊

Review of Symbolic Logic 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Review of Symbolic Logic is designed to cultivate research on the borders of logic, philosophy, and the sciences, and to support substantive interactions between these disciplines. The journal welcomes submissions in any of the following areas, broadly construed: - The general study of logical systems and their semantics,including non-classical logics and algebraic logic; - Philosophical logic and formal epistemology, including interactions with decision theory and game theory; - The history, philosophy, and methodology of logic and mathematics, including the history of philosophy of logic and mathematics; - Applications of logic to the sciences, such as computer science, cognitive science, and linguistics; and logical results addressing foundational issues in the sciences.