Many-valued logics and bivalent modalities

In this paper, we investigate the family LS0.5 of many-valued modal logics LS0.5's. We prove that the modalities of necessity and possibility of the logics LS0.5's capture well-defined bivalent concepts of logical validity and logical consistency. We also show that these modalities can be...

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Detalhes bibliográficos
Autores: Bezerra, Edson, Venturi, Giorgio
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/138989
Acesso em linha:https://hdl.handle.net/11441/138989
https://doi.org/10.12775/LLP.2022.013
Access Level:Acceso aberto
Palavra-chave:Modal logic
Many-valued logic
Non-normal modal logic
Bivalence
Descrição
Resumo:In this paper, we investigate the family LS0.5 of many-valued modal logics LS0.5's. We prove that the modalities of necessity and possibility of the logics LS0.5's capture well-defined bivalent concepts of logical validity and logical consistency. We also show that these modalities can be used as recovery operators.