In recent years, many researchers in the area of reasoning have focussed on the adoption of rule languages for the Semantic Web that led to remarkable approaches offering various functionality. On one hand, this included language elements of the rule part itself like contexts, higher-orderness, and non-monotonic negation. On the other hand, the proper integration with ontology languages like RDF and OWL had to consider language-speci c properties like disjunctivity as well as the demand for using existing external components. The paper proposes a T

riple-oriented hybrid language that integrates the mentioned language elements.