Artificial Institutions are often considered as systems where the regulation defined through norms is based on an interpretation of the concrete world where the agents are situated and interacting. Such interpretation can be defined through constitutive rules. Although the literature proposes independent approaches for the definition and management of both norms and constitutive rules, they are usually not connected to each other. This paper investigates how to make such a connection, that raises problems of representations and of coupling of independent dynamics (norms and constitutive rules). Our main contribution in this paper is an approach and a formal apparatus to base the regulation provided by the norms on the institutional interpretation of the world provided by constitutive rules as defined in the Situated Artificial Institutions model.