Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B
[EN]The logics BN4 and E4 can be considered as the 4-valued logics of the relevant conditional and (relevant) entailment, respectively. The logic BN4 was developed by Brady in 1982 and the logic E4 by Robles and Méndez in 2016. The aim of this paper is to investigate the implicative variants (of bot...
| Author: | |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2022 |
| Country: | España |
| Institution: | Universidad de Salamanca (USAL) |
| Repository: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/155584 |
| Online Access: | http://hdl.handle.net/10366/155584 |
| Access Level: | Open access |
| Keyword: | 4-valued logics Belnap-Dunn semantics Routley and Meyer’s logic B Many-valued logics Relevant logics 11 Lógica |
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Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic BLópez Velasco, Sandra María4-valued logicsBelnap-Dunn semanticsRoutley and Meyer’s logic BMany-valued logicsRelevant logics11 Lógica[EN]The logics BN4 and E4 can be considered as the 4-valued logics of the relevant conditional and (relevant) entailment, respectively. The logic BN4 was developed by Brady in 1982 and the logic E4 by Robles and Méndez in 2016. The aim of this paper is to investigate the implicative variants (of both systems) which contain Routley and Meyer’s logic B and endow them with a Belnap-Dunn type bivalent semantics.Nicolaus Copernicus University in Toruń202420242022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10366/155584reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1555842026-06-07T06:28:51Z |
| dc.title.none.fl_str_mv |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| title |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| spellingShingle |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B López Velasco, Sandra María 4-valued logics Belnap-Dunn semantics Routley and Meyer’s logic B Many-valued logics Relevant logics 11 Lógica |
| title_short |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| title_full |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| title_fullStr |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| title_full_unstemmed |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| title_sort |
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B |
| dc.creator.none.fl_str_mv |
López Velasco, Sandra María |
| author |
López Velasco, Sandra María |
| author_facet |
López Velasco, Sandra María |
| author_role |
author |
| dc.subject.none.fl_str_mv |
4-valued logics Belnap-Dunn semantics Routley and Meyer’s logic B Many-valued logics Relevant logics 11 Lógica |
| topic |
4-valued logics Belnap-Dunn semantics Routley and Meyer’s logic B Many-valued logics Relevant logics 11 Lógica |
| description |
[EN]The logics BN4 and E4 can be considered as the 4-valued logics of the relevant conditional and (relevant) entailment, respectively. The logic BN4 was developed by Brady in 1982 and the logic E4 by Robles and Méndez in 2016. The aim of this paper is to investigate the implicative variants (of both systems) which contain Routley and Meyer’s logic B and endow them with a Belnap-Dunn type bivalent semantics. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022 2024 2024 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/10366/155584 |
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http://hdl.handle.net/10366/155584 |
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Inglés |
| language_invalid_str_mv |
Inglés |
| dc.rights.none.fl_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Nicolaus Copernicus University in Toruń |
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Nicolaus Copernicus University in Toruń |
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reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca instname:Universidad de Salamanca (USAL) |
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Universidad de Salamanca (USAL) |
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GREDOS. Repositorio Institucional de la Universidad de Salamanca |
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GREDOS. Repositorio Institucional de la Universidad de Salamanca |
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