Quasi-N4-lattices and their logic

  • Clodomir Silva Lima Neto UFRN
  • Thiago Nascimento da Silva Cebraspe
  • Umberto Rivieccio UFRN


The variety of quasi-N4-lattices (QN4) was recently introduced as a non-involutive generalization of N4-lattices (algebraic models of Nelson's paraconsistent logic). While research on these algebras is still at a preliminary stage, we know that QN4 is an arithmetical variety which possesses a ternary as well as a quaternary deductive term, enjoys equationally definable principal congruences and the strong congruence extension property. We furthermore have recently introduced an algebraizable logic having QN4 as its equivalent semantics. In this contribution we report on the results obtained so far on this class of algebras and on its logical counterpart.
Palavras-chave: Non-involutive, Paraconsistent Nelson, Algebraizable logic


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LIMA NETO, Clodomir Silva; SILVA, Thiago Nascimento da; RIVIECCIO, Umberto. Quasi-N4-lattices and their logic. In: WORKSHOP BRASILEIRO DE LÓGICA (WBL), 3. , 2022, Niterói. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2022 . p. 33-40. ISSN 2763-8731. DOI: https://doi.org/10.5753/wbl.2022.222852.