Domain-Specific Language (DSL) are getting more and more popular and are being used in critical systems like aerospace and car industries. Methods for simulating and validating DSL models are now necessary in order to make the new software generation more reliable and less costly. Developing analysis tools for DSL requires the definition of models semantics. In this paper, we propose a framework to give a formal foundation of the Model-Driven Engineering (MDE) approach. We separate the usually common notions of models and modelling languages associating to each of them a different goal. In order to prove the consistency of our proposal we express a subset of EMOF, its static semantics and validate its meta-circularity.