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...

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Detalhes bibliográficos
Autor: López Velasco, Sandra María
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:España
Recursos:Universidad de Salamanca (USAL)
Repositório:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/155584
Acesso em linha:http://hdl.handle.net/10366/155584
Access Level:Acceso aberto
Palavra-chave:4-valued logics
Belnap-Dunn semantics
Routley and Meyer’s logic B
Many-valued logics
Relevant logics
11 Lógica
Descrição
Resumo:[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.