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Sobre a lógica da verdade pragmática em cálculo de sequentes
(Universidade Estadual Paulista (Unesp), 2021-02-26)
O objetivo central desta pesquisa é desenvolver um método dedutivo alternativo para a Lógica da Verdade Pragmática (Logic of Pragmatic Truth - LPT) em cálculo de sequentes. Neste sentido, apresentaremos inicialmente o ...
Gentzen-Style Sequent Calculus for Semi-intuitionistic Logic
(Springer, 2016-12)
The variety SH of semi-Heyting algebras was introduced by H. P. Sankappanavar (in: Proceedings of the 9th “Dr. Antonio A. R. Monteiro” Congress, Universidad Nacional del Sur, Bahía Blanca, 2008) [13] as an abstraction of ...
New Insights on Syllogistics and Cut
(Universidad de Valparaíso. Instituto de Filosofía, 2020)
There is a quite intentional resemblance between the Cut Rule and Aristotle´s Syllogism. In this paper some deep connections between Sequent Calculus and Syllogistics will be investigated. Taking into consideration Alvarez ...
An epistemic interpretation of paraconsistent weak Kleene logic
(Nicolaus Copernicus University, 2019-06)
This paper extends Fitting’s epistemic interpretation of some Kleene logics to also account for Paraconsistent Weak Kleene logic. To achieve this goal, a dualization of Fitting’s “cut-down” operator is discussed, leading ...
Formalização da lógica linear em Coq
(BrasilUFRNPROGRAMA DE PÓS-GRADUAÇÃO EM MATEMÁTICA APLICADA E ESTATÍSTICA, 2017-02-15)
In proof theory, the cut-elimination theorem (or Hauptsatz, which means main result) is of
paramount importance since it implies the consistency and the subformula property for
the given system. This theorem states that ...