We show how the theory of latt ice gases developed by Frisch, d'Humi eres, Hasslacher, Lallemand, Pomeau, and Rivet, can be extended to cases involving viola.tion of semi-detailed balance. T his allows further redu ction of the viscosit y. However , since t he universality of the distribution is lost , t he function g(p ) becomes dependent on th e collision laws and has to be evaluated by a sui...