2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78698We prove that every log crepant birational morphism between log terminal surfaces is decomposed into log-flopping type divisorial contraction morphisms and log blow-downs. Repeating these two kinds of contractions we reach a minimal log minimal surface from any log minimal surface.4 pages, AMSTex v2.1Algebraic Geometry14E05;14E30;14E35text