2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99260We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor system. By realizing the difference operator as a commutator, we may obtain exact supersymmetric theories on lattice explicitly. Some problems such as locality and single flavor reduction are also commented.6 pages, Talk presented at Lattice 2005 (Theoretical Developments)High Energy Physics - Latticetext