Semantical Study of Paraconsistent Nelson's Logic

This chapter starts the second part of the book devoted to paraconsistent Nelson’s logic N4 and to the class of its extensions.

The natural first step in the investigation of the class of N4-extensions is to provide an adequate algebraic semantics for the logic N4, i.e., characterizing N4 via a variety of algebraic systems ν such that there exists a natural dual isomorphism between the lattice of N4-extensions and the lattice of subvarieties of ν.