Substitutional Validity for Modal Logic

IF 0.6 3区数学 Q2 LOGIC

Notre Dame Journal of Formal Logic Pub Date : 2023-08-01 DOI:10.1215/00294527-2023-0007

Marco Grossi

引用次数: 0

Abstract

In the substitutional framework, validity is truth under all substitutions of the nonlogical vocabulary. I develop a theory where □ is interpreted as substitutional validity. I show how to prove soundness and completeness for common modal calculi using this definition.

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模态逻辑的替代有效性

在替代框架中，有效性在非逻辑词汇的所有替代下都是真理。我发展了一个理论，其中□被解释为替代有效性。我将展示如何使用这个定义证明公共模态演算的健全性和完备性。

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

Notre Dame Journal of Formal Logic MATHEMATICS-LOGIC

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Notre Dame Journal of Formal Logic, founded in 1960, aims to publish high quality and original research papers in philosophical logic, mathematical logic, and related areas, including papers of compelling historical interest. The Journal is also willing to selectively publish expository articles on important current topics of interest as well as book reviews.