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

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Author(s):
Figallo-Orellano, Aldo ; Sebastian Slagter, Juan
Total Authors: 2
Document type: Journal article
Source: Comp. y Sist.; v. 26, n. 2, p. 13-pg., 2022-01-01.
Abstract

In this paper, some implicational fragments of trivalent Lukasiewicz 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. (AU)

FAPESP's process: 16/21928-0 - Non-deterministic semantics for logics of formal inconsistency
Grantee:Aldo Figallo Orellano
Support Opportunities: Scholarships in Brazil - Post-Doctoral