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A Modification of Visser’s Formal Logic and Its Connection with Solovay’s Modal Logic

IF 0.5 Q3 MATHEMATICS
Russian Mathematics Pub Date : 2023-11-01 DOI:10.3103/s1066369x23110051
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引用次数: 0

Abstract

We present a new logic called SPL, embedded into Solovay’s provability logic S, using a translation that embeds Visser’s formal logic FPL into Gödel–Löb’s provability logic GL. SPL is formulated as sequent and natural deduction calculi, and a the Kripke semantics is proposed for SPL.
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对维瑟形式逻辑的修正及其与索洛维模态逻辑的联系
摘要 我们提出了一种称为 SPL 的新逻辑，它嵌入了索洛维的可证逻辑 S，并使用了一种将维塞尔的形式逻辑 FPL 嵌入哥德尔-勒布的可证逻辑 GL 的翻译。SPL 被表述为顺序和自然演绎计算，并为 SPL 提出了克里普克语义。
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
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍： Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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