| Abstract: | We define an identity  to be hypersatisfied by a variety V if, whenever the operation symbols of V, are replaced by arbitrary terms (of appropriate arity) in the operations of V, the resulting identity is satisfied by V in the usual sense. Whenever the identity is hypersatisfied by a variety V, we shall say that is a V hyperidentity. For example, the identity x + x  y = x (x + y) is hypersatisfied by the variety L of all lattices. A proof of this consists of a case-by-case examination of { + , } {x, y, x  y, x  y}, the set of all binary lattice terms. In an earlier work, we exhibited a hyperbase 
L
for the set of all binary lattice (or, equivalently, quasilattice) hyperidentities of type 2, 2. In this paper we provide a greatly refined hyperbase
L
. The proof that
L
is a hyperbase was obtained by using the automated reasoning program Otter 3.0.4. |
