An Algebraic Study of the First Order Version of some Implicational Fragments of Three-Valued Łukasiewicz Logic



Document title: An Algebraic Study of the First Order Version of some Implicational Fragments of Three-Valued Łukasiewicz Logic
Journal: Computación y sistemas
Database:
System number: 000560680
ISSN: 1405-5546
Authors: 1
1
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:
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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