Representation of metamodels using inductive types in a type-theoretic framework for MDE

Abstract

We present discussions on how to apply a type-theoretic framework composed out by the Calculus of Inductive Constructions and its associated tool the Coq proof assistant to the formal treatment of model transformations in the context of Model-Driven Engineering. We start by studying how to represent models and metamodels in the mentioned theory, which leads us to a formalization in which a metamodel is a collection of mutually defined inductive types representing its various classes and associations. This representation has been put into use for carrying out and verifying on machine the well-known case study of the Class to Relational model transformation. We finally end up discussing ways in which the framework can be used to obtain provably correct model transformations.