A general top-down algorithmization for the Well-Founded MKNF Semantics - a semantics for combining rules and ontologies - was recently defined based on an extension of SLG resolution for Logic Programming with an abstract oracle to the parametric ontology language. Here we provide a concrete oracle with practical usage, namely for εL~+ which is tractable for reasoning tasks like subsumption. We show that the defined oracle remains tractable (wrt. data complexity) so that the combined (query-driven) approach of non-monotonic rules with that oracle is tractable as well.
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