The proliferation of heterogeneous data sources in many application contexts brings an urgent need for expressive and efficient data integration mechanisms. There are strong advantages to using RDF graphs as the integration format: being schemaless, they allow for flexible integration of data from all sources; RDF graphs can be interpreted with the help of an ontology, describing application semantics; last but not least, RDF enables joint querying of the data and the ontology. To address this need, we introduce the novel class of RDF Integration Systems (RIS), going beyond the state of the art in the expressive power, that is, in the ability to expose, integrate and flexibly query data from heterogeneous sources through GLAV (global-local-...