A 2 Set-Up Binary Routley Semantics for Gödelian 3-Valued Logic G3 and Its Paraconsistent Counterpart G3\(_\text{Ł}^\leq\)

Gemma Robles; José M. Méndez

doi:10.18778/0138-0680.2022.20

Authors

Gemma Robles Universidad de Léon, Departamento de Psicología, Sociología y Filosofía, Campus de Vegazana, s/n, 24071, Léon, Spain https://orcid.org/0000-0001-6495-0388
José M. Méndez University of Salamanca, Edificio FES, Campus Unamuno, 37007, Salamanca, Spain https://orcid.org/0000-0002-9560-3327

DOI:

https://doi.org/10.18778/0138-0680.2022.20

Keywords:

binary Routley semantics, 2 set-up binary Routley semantics, 3-valued logics, paraconsistent logics, Gödelian 3-valued logic G3

Abstract

G3 is Gödelian 3-valued logic, G3\(_\text{Ł}^\leq\) is its paraconsistent counterpart and G3\(_\text{Ł}^1\) is a strong extension of G3\(_\text{Ł}^\leq\). The aim of this paper is to endow each one of the logics just mentioned with a 2 set-up binary Routley semantics.

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