De relações a vizinhanças: um entendimento sobre não-normalidade modal

The quest for mathematical structures to represent some logical behaviors is important for a better understanding of these logics. For example, propositional classical logic can be characterized by Boolean Algebras. When adding modalities to classical logic, we need other structures to represent...

ver descrição completa

Na minha lista:
Detalhes bibliográficos
Autor principal: Dantas Neto, João Freire
Outros Autores: Pimentel, Elaine Gouvea
Formato: Dissertação
Idioma:por
Publicado em: Brasil
Assuntos:
Endereço do item:https://repositorio.ufrn.br/jspui/handle/123456789/26312
Tags: Adicionar Tag
Sem tags, seja o primeiro a adicionar uma tag!
Descrição
Resumo:The quest for mathematical structures to represent some logical behaviors is important for a better understanding of these logics. For example, propositional classical logic can be characterized by Boolean Algebras. When adding modalities to classical logic, we need other structures to represent them, as relational frames for normal modal logics, for example in the case of non-normal modalities, we need neighborhood frames to represent classical modal logics. In this work we investigate neighborhood frames for non-normal modal logics, with the goal to relate frame semantics with proof systems. Moreover we aim to understand proof systems with semantic language internalized.