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Doctoral Thesis
DOI
https://doi.org/10.11606/T.8.2019.tde-19122019-182332
Document
Author
Full name
Pedro Alonso Amaral Falcão
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2017
Supervisor
Committee
Silva, Rodrigo Bacellar da Costa e (President)
Freire, Rodrigo de Alvarenga
Leite, Alexandre Fernandes Batista Costa
Mariano, Hugo Luiz
Souza, Edelcio Gonçalves de
Title in English
On pre-complete systems of modal functions
Keywords in English
Formal Logic
Logic
Philosophy
Abstract in English
We present here some highlights of the Theory of Modal Functions, and in particular an important result in the Theory of Systems of Modal Functions: the determination of the pre-complete systems of modal functions. This result is the modal (S5) correlate of Post's criterion of (truth-)functional completeness, and was originally shown by the Moldavian logician M. F. Ratsa (who published it in a paper written in Russian). We present Ratsa's theorems in a framework slightly different from his, and we provide corrections of a few small errors of the original version.
Title in Portuguese
Sobre sistemas pré-completos de funções modais
Keywords in Portuguese
Filosofia
Lógica
Lógica formal
Abstract in Portuguese
Apresentamos alguns fatos relevantes da Teoria das Funções Modais, e em particular um resultado importante na Teoria dos Sistemas de Funções Modais: a determinação dos sistemas pré-completos de funções modais. Esse resultado é o correlato modal (em S5) do critério de completude (vero-)funcional de Post, e é originalmente devido ao lógico moldávio M. F. Ratsa (que o publicou em um artigo em russo). Nós apresentamos os teoremas de Ratsa em um contexto ligeiramente modificado, e fornecemos correções de alguns pequenos erros do artigo original.
 
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Publishing Date
2019-12-19
 
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