2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/31729We present a propositional logic %which can be used to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization for the logic, and show that the satisfiability problem is NP-complete, no harder than satisfiability for propositional logic.A preliminary version of this paper appeared in Proc. of the 17th Conference on Uncertainty in AI, 2001Artificial IntelligenceLogic in Computer ScienceI.2.4; F.2.1text