The normative version of RDF Schema (RDFS) gives non-standard (intensional)
interpretations to some standard notions such as classes and properties, thus
departing from standard set-based semantics. In this paper we develop a
standard set-based (extensional) semantics for the RDFS vocabulary while
preserving the simplicity and computa- tional complexity of deduction of the
intensional version. This result can positively impact current implementations,
as reasoning in RDFS can be implemented following common set-based intuitions
and be compatible with OWL extensions.