We propose an approach for embedding Domain-Specific Modelling Languages (\dsml) into Maude, based on representing models and metamodels as Maude specifications, and on representing operational semantics and model transformations as computable functions/relations between such specifications. This provides us, on the one hand, with abstract definitions of essential concepts of domain-specific modelling languages: model-to-metamodel conformance, operational semantics, and (operational-semantics-preserving) model transformations; and, on the other hand, with equivalent executable definitions for those concepts, which can be directly used in Maude for formal verification purposes