Paracomplete Logics Dual to the Genuine Paraconsistent Logics: The Three-valued Case

Q3 Computer Science

Electronic Notes in Theoretical Computer Science Pub Date : 2020-12-01 DOI:10.1016/j.entcs.2020.10.006

Alejandro Hernández-Tello , Verónica Borja Macías , Marcelo E. Coniglio

引用次数: 3

Abstract

In 2016 Béziau, introduce a restricted notion of paraconsistency, the so-called genuine paraconsistency. A logic is genuine paraconsistent if it rejects the laws φ,¬φ ⊢ ψ and ⊢ ¬(φ ∧ ¬φ). In that paper the author analyzes, among the three-valued logics, which of them satisfy this property. If we consider multiple-conclusion consequence relations, the dual properties of those above mentioned are ⊢ φ,¬φ and ¬(ψ∨¬ψ) ⊢. We call genuine paracomplete logics those rejecting the mentioned properties. We present here an analysis of the three-valued genuine paracomplete logics.

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对真副协调逻辑的对偶的准完全逻辑:三值情况

2016年，b ziau，引入一个有限的超一致性概念，所谓的真正的超一致性。一个逻辑是真正的副相容的，如果它拒绝φ、φ φ和φ (φ∧φ)定律。本文分析了三值逻辑中哪些满足这一性质。如果考虑多重结论的结果关系，则上述结果关系的对偶性质是:φ，¬φ和¬(ψ∨¬ψ)∧。我们称那些拒绝上述性质的逻辑为真正的准完全逻辑。本文对三值真准完全逻辑进行了分析。

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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Electronic Notes in Theoretical Computer Science Computer Science-Computer Science (all)

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