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

Alejandro Hernández-Tello , Verónica Borja Macías , Marcelo E. Coniglio
{"title":"Paracomplete Logics Dual to the Genuine Paraconsistent Logics: The Three-valued Case","authors":"Alejandro Hernández-Tello ,&nbsp;Verónica Borja Macías ,&nbsp;Marcelo E. Coniglio","doi":"10.1016/j.entcs.2020.10.006","DOIUrl":null,"url":null,"abstract":"<div><p>In 2016 Béziau, introduce a restricted notion of paraconsistency, the so-called <em>genuine paraconsistency</em>. A logic is <em>genuine paraconsistent</em> if it rejects the laws <em>φ</em>,¬<em>φ</em> ⊢ <em>ψ</em> and ⊢ ¬(<em>φ</em> ∧ ¬<em>φ</em>). 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 ⊢ <em>φ</em>,¬<em>φ</em> and ¬(<em>ψ</em>∨¬<em>ψ</em>) ⊢. We call <em>genuine paracomplete logics</em> those rejecting the mentioned properties. We present here an analysis of the three-valued genuine paracomplete logics.</p></div>","PeriodicalId":38770,"journal":{"name":"Electronic Notes in Theoretical Computer Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.entcs.2020.10.006","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Theoretical Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571066120300827","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}
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 φφψ 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 ⊢ φφ 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.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
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。
求助全文
约1分钟内获得全文 去求助
来源期刊
Electronic Notes in Theoretical Computer Science
Electronic Notes in Theoretical Computer Science Computer Science-Computer Science (all)
自引率
0.00%
发文量
0
期刊介绍: ENTCS is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication and the availability on the electronic media is appropriate. Organizers of conferences whose proceedings appear in ENTCS, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.
期刊最新文献
Preface Murphree's Numerical Term Logic Tableaux A Note on Constructive Interpolation for the Multi-Modal Logic Km Paracomplete Logics Dual to the Genuine Paraconsistent Logics: The Three-valued Case Building a Maximal Independent Set for the Vertex-coloring Problem on Planar Graphs
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1