削减对双边的操作

2015 IEEE International Symposium on Multiple-Valued Logic Pub Date : 2015-05-18 DOI:10.1109/ISMVL.2015.14

T. M. Ferguson

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引用次数: 12

摘要

本文考虑了Melvin Fitting在双边格子上的“裁剪”操作的概念。证明了双格上的缩减运算逻辑等价于Harry Deutsch的四值sde，证明了sde与双格理论的紧密联系，就像Dunn-Belnap逻辑Efde一样。本文的结论是，Carlos Damásio和Luís Pereira的“非”操作是fit意义上的削减，而Damásio-Pereira削减操作在双边格子NINE上的逻辑相当于Richard Angell的AC。

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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Cut-Down Operations on Bilattices

In this paper, Melvin Fitting's notion of a "cut-down" operation on a bilattice is considered. It is shown that the logic of cut-down operations on bilattices is equivalent to Harry Deutsch's four-valued Sfde, demonstrating that Sfde is as intimately connected to the theory of bilattices as is the Dunn-Belnap logic Efde. The paper concludes by observing that the "not ¬" operation of Carlos Damásio and Luís Pereira serves as a cut-down in Fitting's sense and that the logic of Damásio-Pereira cut-down operations on the bilattice NINE is equivalent to Richard Angell's AC.

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2015 IEEE International Symposium on Multiple-Valued Logic

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