In this paper, a new formulation of Creativity is presented in the context of Creativity Support Systems. This formulation is based on the central ideas of the theory of Boden. It redefines some concepts such as appropriateness and relevance in order to allow the implementation of a support system for creative people. The approach is based on the conceptual space proposed by Boden and formalized by other authors. The presented formulation is applied to a real case in which a new chocolate cake with fruit is design. Data collected from a Spanish chocolate chef has been used to validate the proposed system. Experimental results show that the formulation presented is not only useful for understanding how the creative mechanisms of design works, but also facilitates its implementation in real cases to support creativity processes.