弱变量共享性质

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2023-04-21 DOI:10.18778/0138-0680.2023.05

Tore Fjetland Øgaard

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引用次数: 0

摘要

给出了一个代数类型的结构，如果它是一个逻辑的特征矩阵，那么该逻辑满足Meyer的弱变量共享性质。作为推论，证明了RM及其所有奇值扩展\(\mathbf{RM}_{2n\mathord{-}1}\)满足弱变量共享性质。还证明了有关逻辑R的“模糊”版本满足该性质的证明是不正确的。

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The weak variable sharing property

An algebraic type of structure is shown forth which is such that if it is a characteristic matrix for a logic, then that logic satisfies Meyer's weak variable sharing property. As a corollary, it is shown that RM and all its odd-valued extensions \(\mathbf{RM}_{2n\mathord{-}1}\) satisfy the weak variable sharing property. It is also shown that a proof to the effect that the "fuzzy" version of the relevant logic R satisfies the property is incorrect.

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来源期刊

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks