This book presents Hyper-lattice, a new algebraic model for partially
ordered sets, and an alternative to lattice. The authors analyze some of
the shortcomings of conventional lattice structure and propose a novel
algebraic structure in the form of Hyper-lattice to overcome problems
with lattice. They establish how Hyper-lattice supports dynamic
insertion of elements in a partial order set with a partial hierarchy
between the set members. The authors present the characteristics and the
different properties, showing how propositions and lemmas formalize
Hyper-lattice as a new algebraic structure.