  Updates in RDF stores have recently been standardised in the SPARQL 1.1
Update specification. However, computing answers entailed by ontologies in
triple stores is usually treated orthogonal to updates. Even the W3C's recent
SPARQL 1.1 Update language and SPARQL 1.1 Entailment Regimes specifications
explicitly exclude a standard behaviour how SPARQL endpoints should treat
entailment regimes other than simple entailment in the context of updates. In
this paper, we take a first step to close this gap. We define a fragment of
SPARQL basic graph patterns corresponding to (the RDFS fragment of) DL-Lite and
the corresponding SPARQL update language, dealing with updates both of ABox and
of TBox statements. We discuss possible semantics along with potential
strategies for implementing them. We treat both, (i) materialised RDF stores,
which store all entailed triples explicitly, and (ii) reduced RDF Stores, that
is, redundancy-free RDF stores that do not store any RDF triples (corresponding
to DL-Lite ABox statements) entailed by others already.
