2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/31279We show that for a wide range of probability measures, constructive gales are interchangable with constructive supergales for defining constructive Hausdorff dimension, thus generalizing a previous independent result of Hitchcock (cs.CC/0208043) and partially answering an open question of Lutz (cs.CC/0203017).7 pages, no figuresComputational ComplexityF.1.3Gales and supergales are equivalent for defining constructive Hausdorff dimensiontext