2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76882We give a framework for dealing with 0-1 laws (for first order logic) such that expanding by further random structure tend to give us another case of the framework. From another perspective we deal with 0-1 laws when the number of solutions of first order formulas with parameters behave dichotomically.LogicCombinatoricstext