Negation and BCK‐algebras
Francisco Miguel García Olmedo, Antonio J. Rodríguez Salas · Mathematical logic quarterly · 2003
Abstract In this paper we consider twelve classical laws of negation and study their relations in the context of BCK‐algebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK‐algebras with minimum. As a consequence we obtain a theorem relating those algebras to Boolean algebras.