2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119351We introduce the concept of basis for a lattice. This basis plays a vital role to determine the completeness and consistency of the lattice. Weighted lattices are introduced and its complexity is formulated. Some axiomatic systems, considered as lattices, are also studied.9 pagesGeneral MathematicsLogic06B20; 06B23; 06E99text