On Simplified Definition of Lattice Implication Algebras
Song Li-xia · Mohu xitong yu shuxue · 2008
This paper proved that when we have a binary operation → and a nullary operations 0 on a non-empty set L, if these operations satisfy the four axioms of lattice implication algebra then (L,→,0) to be a lattice implication algebra. So, when we define lattice implication algebra, we needn't start on a complemented lattice with universal bounds, but we can begin with an algebra of type (2,0).