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

Authors

  • Aldo Figallo-Orellano Universidad Nacional del Sur (UNS)
  • Juan Sebastian Slagter University of Campinas (UNICAMP)

DOI:

https://doi.org/10.13053/cys-26-2-4246

Keywords:

Trivalent Hilbert algebras, modals operators, 3-valued godel logic, first-order logics

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.

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Published

2022-06-15

Issue

Vol. 26 No. 2 (2022): Emerging Issues and Applications of Fuzzy Systems, Neural Networks and Metaheuristics (Castillo, Melin, Montiel, Valdez)

Section

Articles of the Thematic Section

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