Intermodeling, Queries, and Kleisli Categories

Specification and maintenance of relationships between models are vital for MDE. We show that a wide class of such relationships can be specified in a compact and precise manner, if intermodel mappings are allowed to link derived model elements computed by corresponding queries. Composition of such mappings is not straightforward and requires specialized algebraic machinery. We present a formal framework, in which such machinery can be defined generically for a wide class of metamodel definitions. This enables algebraic specification of practical intermodeling scenarios, e.g., model merge.