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are defined in the RDF Concepts specification [[!RDF12-CONCEPTS]].
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RDF-D interpretations MAY fail to <a>recognize</a> these datatypes.</p>
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<sectionid="rdf_entail">
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<p><em> Note: This section is carried over from RDF 1.1 and is included here to show how sound and complete inference rules might be constructed for the current versions of RDF and RDFS. It is believed that at most minor changes to the entailment rules here will be needed for sound and complete RDF and RDFS entailment. </em></p>
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<p>(<em>This section is based on work described more fully in </em>[[HORST04]]<em>,</em>[[HORST05]]<em>,
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<p>(<em>This section is based on work described more fully in two papers by ter Horst, </em>[[HORST04]]<em> and</em>[[HORST05]]<em>,
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which should be consulted for technical details and proofs.</em>) </p>
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<p>The RDF and RDFS entailment patterns listed in the above tables can be viewed
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<!--<p>Define a <dfn>generalized RDF triple</dfn> to be a triple <x, y, z> where x and z can be an IRI, a blank node or a literal, and y can be an IRI or a blank node; and extend this to the rest of RDF, so that a generalized RDF graph is a set of generalized RDF triples. -->
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<p>Consider <adata-cite="RDF12-CONCEPTS#section-generalized-rdf">generalized RDF triples, graphs, and datasets</a>
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instead of RDF triples, graphs and datasets (extending the generalization used in [[HORST04]]
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and following exactly the terms used in [[OWL2-PROFILES]]).
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instead of RDF triples, graphs and datasets (extending the generalization used by Horst [[HORST04]]
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and following exactly the terms used in OWL Profiles [[OWL2-PROFILES]]).
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The semantics described in this document applies to the generalization without change,
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so that the notions of interpretation, satisfiability and entailment can be used freely.
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Then we can replace the first RDF entailment pattern with the simpler and more direct</p>
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