Incorporating Proofs in a Categorical Attributed Graph Transformation System for Software Modelling and Verification

This paper deals with model transformations based on attributed graphs transformation. Our approach is based on the categorical approach called Single Pushout. The principal goal being to strengthen the attribute computation part, we generalize our earlier approach based on the use of typed lambda-terms with inductive types and recursion to represent attributes and computation functions. The generalized approach takes terms in variable context as attributes and partial proofs as computation functions that permit to combine computation with proof development and verification. The intended domains of application are the development of certified software models and semantics models for interactive proof development and verification.