Journal: | Computación y sistemas |
Database: | |
System number: | 000560680 |
ISSN: | 1405-5546 |
Authors: | Figallo Orellano, Aldo1 Slagter, Juan Sebastián1 |
Institutions: | 1Universidad Nacional del Sur, Departamento de Matemática, Buenos Aires. Argentina 2University of Campinas, Centre for Logic Epistemology and The History of Science, Brasil |
Year: | 2022 |
Season: | Abr-Jun |
Volumen: | 26 |
Number: | 2 |
Pages: | 801-813 |
Country: | México |
Language: | Inglés |
English abstract | In this paper, some implicational fragments of trivalent Łukasiewicz logic are studied and the propositional and first-order logic are presented. The maximal consistent theories are studied as Monteiro’s maximal deductive systems of the Lindenbaum-Tarski algebra in both cases. Consequently, the adequacy theorems with respect to the suitable algebraic structures are proven. |
Keyword: | Trivalent Hilbert algebras, Modals operators, 3-valued Gödel logic, First-order logics |
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