<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE rdf:RDF[
	<!ENTITY rdf 'http://www.w3.org/1999/02/22-rdf-syntax-ns#'>
	<!ENTITY rdfs 'http://www.w3.org/2000/01/rdf-schema#'>
	<!ENTITY owl 'http://www.w3.org/2002/07/owl#'>
	<!ENTITY swivt 'http://semantic-mediawiki.org/swivt/1.0#'>
	<!ENTITY wiki 'http://tw.rpi.edu/portal/'>
	<!ENTITY property 'http://tw.rpi.edu/portal/Property-3A'>
	<!ENTITY wikiurl 'http://tw.rpi.edu/portal/'>
]>

<rdf:RDF
	xmlns:rdf="&rdf;"
	xmlns:rdfs="&rdfs;"
	xmlns:owl ="&owl;"
	xmlns:swivt="&swivt;"
	xmlns:wiki="&wiki;"
	xmlns:property="&property;">
	<!-- Ontology header -->
	<owl:Ontology rdf:about="&wikiurl;Special:ExportRDF/Joshua_Shinavier_Networked_Graphs_Joshua_Taylor_1">
		<swivt:creationDate rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-05-27T21:37:12-04:00</swivt:creationDate>
		<owl:imports rdf:resource="http://semantic-mediawiki.org/swivt/1.0" />
	</owl:Ontology>
	<!-- exported page data -->
	<swivt:Subject rdf:about="&wiki;Joshua_Shinavier_Networked_Graphs_Joshua_Taylor_1">
		<rdfs:label>Joshua Shinavier Networked Graphs Joshua Taylor 1</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Joshua_Shinavier_Networked_Graphs_Joshua_Taylor_1"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Joshua_Shinavier_Networked_Graphs_Joshua_Taylor_1"/>
		<rdf:type rdf:resource="&wiki;Category-3APresentation_Questions"/>
		<property:Question_asked rdf:datatype="http://www.w3.org/2001/XMLSchema#string">In '''6. IMPLEMENTATION''', the authors describe their algorithm for determining the fixedpoint of a graph/view. They write, "In some more details, the procedure starts with the true statements, which are extensionally lister, or which can be derived from views, which do not use negation. //Though, I thought that views ''could'' use negation…// We call this underestimate ''U''&lt;sub&gt;1&lt;/sub&gt;. Statements in ''U''&lt;sub&gt;1&lt;/sub&gt; are known to be true. ''U''&lt;sub&gt;1&lt;/sub&gt; is used to compute an overestimate ''O''&lt;sub&gt;1&lt;/sub&gt; by evaluating all views against this set of true statements. '''The result will be an overestimate, because ''U''&lt;sub&gt;1&lt;/sub&gt; was still incomplete and therefore bound negation will succeed in too many cases.''' //So views ''can'' contain negation…//" (emphasis added) I do not see how they can guarantee that ''O''&lt;sub&gt;1&lt;/sub&gt; will be an overestimate. It is generated based on ''U''&lt;sub&gt;1&lt;/sub&gt; whose elements are known to be true, but which is not yet the set of all true statements. Then if ''O''&lt;sub&gt;1&lt;/sub&gt; does not depend on views using negation, it would seem that ''O''&lt;sub&gt;1&lt;/sub&gt; could be another underestimate. In '''5.1 Requirements …, RDF Schema''' the authors state "that NGs are expressive enough to alternatively model the RDFS inference rules as view definitions." I imagine a a ''U''&lt;sub&gt;1&lt;/sub&gt; containing "X rdf:type A", "A rdf:subClassOf B", and "B rdf:subClassOf C", which would lead to an ''O''&lt;sub&gt;1&lt;/sub&gt; containing ''U''&lt;sub&gt;1&lt;/sub&gt; as a subset, and also "X rdf:type B", and perhaps "X rdf:type C". Yet ''O''&lt;sub&gt;1&lt;/sub&gt; is clearly not an overestimate. What am I missing here?</property:Question_asked>
		<property:Question_asked_by rdf:resource="&wiki;Joshua_A._Taylor"/>
		<property:Question_for_the_Presentation rdf:resource="&wiki;Joshua_Shinavier_Networked_Graphs"/>
	</swivt:Subject>
	<!-- auxiliary definitions -->
	<swivt:Subject rdf:about="&wiki;Joshua_Shinavier_Networked_Graphs">
		<rdfs:label>Joshua Shinavier Networked Graphs</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Joshua_Shinavier_Networked_Graphs"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Joshua_Shinavier_Networked_Graphs"/>
	</swivt:Subject>
	<owl:ObjectProperty rdf:about="&property;Question_for_the_Presentation">
		<rdfs:label>Question for the Presentation</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Property:Question_for_the_Presentation"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Property:Question_for_the_Presentation"/>
	</owl:ObjectProperty>
	<swivt:Subject rdf:about="&wiki;Joshua_A._Taylor">
		<rdfs:label>Joshua A. Taylor</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Joshua_A._Taylor"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Joshua_A._Taylor"/>
	</swivt:Subject>
	<owl:ObjectProperty rdf:about="&property;Question_asked_by">
		<rdfs:label>Question asked by</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Property:Question_asked_by"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Property:Question_asked_by"/>
	</owl:ObjectProperty>
	<owl:DatatypeProperty rdf:about="&property;Question_asked">
		<rdfs:label>Question asked</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Property:Question_asked"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Property:Question_asked"/>
	</owl:DatatypeProperty>
	<owl:Class rdf:about="&wiki;Category-3APresentation_Questions">
		<rdfs:label>Presentation Questions</rdfs:label>
		<swivt:page rdf:resource="&wikiurl;Category:Presentation_Questions"/>
		<rdfs:isDefinedBy rdf:resource="&wikiurl;Special:ExportRDF/Category:Presentation_Questions"/>
	</owl:Class>
	<!-- References to the SWiVT Ontology, see http://semantic-mediawiki.org/swivt/ -->
	<owl:AnnotationProperty rdf:about="&swivt;page">
		<rdfs:isDefinedBy rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:AnnotationProperty>
	<owl:AnnotationProperty rdf:about="&swivt;creationDate">
		<rdfs:isDefinedBy rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:AnnotationProperty>
	<owl:Class rdf:about="&swivt;Subject">
		<rdfs:isDefinedBy rdf:resource="http://semantic-mediawiki.org/swivt/1.0"/>
	</owl:Class>
	<!-- Created by Semantic MediaWiki, http://semantic-mediawiki.org -->
</rdf:RDF>
