Adaptive Software based on Correct-by-Construction Metamodels

Despite significant research efforts in the last decade, UML has not reached the status of being a highconfidence modeling language. This is due to unsound foundations that result from the insufficiently formal structuring of metamodels that define the MOF/UML Infrastructure. Nowadays, UML-related metamodels are implemented in computing environments (e.g., EMF) to play the role of metadata when one seeks adaptation at runtime. To properly instrument metamodel-based adaptation, this chapter re-formalizes the core of the MOF/UML Infrastructure along with giving formal proofs that avoid ambiguities, contradictions, or redundancies. A (meta-)class creation mechanism (either by instantiation or inheritance) is based on inductive types taken from the constructive logic. Inherent proofs based on the Coq proof assistant are also provided. This chapter's contribution is aligned with a previously established metamodeling framework named "Matters of (meta-)modeling."

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