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Specification and maintenance of relationships between models are vital for MDE. The authors show that a wide class of such relationships can be specified in a compact and precise manner, if inter-model mappings are allowed to link derived model elements computed by corresponding queries. Composition of such mappings is not straightforward and requires specialized algebraic machinery. They 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 inter-modeling scenarios, e.g., model merge.
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