In this work, we present a constrained-based representation for specifying the goals of “course design”, that we call curricula model, and introduce a graphical language, grounded into Linear Time Logic, to design curricula models which include knowledge of proficiency levels. Based on this representation, we show how model checking techniques can be used to verify that the user’s learning goal is supplied by a curriculum, that a curriculum is compliant to a curricula model, and that competence gaps are avoided.