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Manuscrito  2011 

Remarks on an algebraic semantics for paraconsistent Nelson's logic

DOI: 10.1590/S0100-60452011000100005

Keywords: nelson logic, paraconsistency, residuated lattices, substructural logic, twist structures.

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Abstract:

in the paper busaniche and cignoli (2009) we presented a quasivariety of commutative residuated lattices, called npc-lattices, that serves as an algebraic semantics for paraconsistent nelson's logic. in the present paper we show that npc-lattices form a subvariety of the variety of commutative residuated lattices, we study congruences of npc-lattices and some subvarieties of npc-lattices.

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