2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229513We present a simpler way than usual to deduce the completeness theorem for the second-oder classical logic from the first-order one. We also extend our method to the case of second-order intuitionistic logic.LogicSimple proof of the completeness theorem for second order classical and intuitionictic logic by reduction to first-order mono-sorted logictext