forked from Isabelle_DOF/Isabelle_DOF
Update reference to DBpedia and fix typo
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@ -389,7 +389,7 @@ and Maynard, Diana
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and Mizoguchi, Riichiro
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and Mizoguchi, Riichiro
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and Schreiber, Guus
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and Schreiber, Guus
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and Cudr{\'e}-Mauroux, Philippe",
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and Cudr{\'e}-Mauroux, Philippe",
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title="DBpedia: A Nucleus for a Web of Open Data",
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title="{DB}pedia: A Nucleus for a Web of Open Data",
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booktitle="The Semantic Web",
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booktitle="The Semantic Web",
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year="2007",
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year="2007",
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publisher="Springer Berlin Heidelberg",
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publisher="Springer Berlin Heidelberg",
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@ -586,7 +586,7 @@ text*[introduction2::myintroduction, authored_by = "{@{myauthor \<open>church\<c
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text*[claimNotion::myclaim, authored_by = "{@{myauthor \<open>church\<close>}}", based_on= "[\<open>Notion1\<close>, \<open>Notion2\<close>]", level = "Some 0"]\<open>\<close>
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text*[claimNotion::myclaim, authored_by = "{@{myauthor \<open>church\<close>}}", based_on= "[\<open>Notion1\<close>, \<open>Notion2\<close>]", level = "Some 0"]\<open>\<close>
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\<close>}
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\<close>}
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\caption{Some instances of the classes of the ontology in the \autoref{fig-ontology-example}.}
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\caption{Some instances of the classes of the ontology of \autoref{fig-ontology-example}.}
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\label{fig-instances-example}
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\label{fig-instances-example}
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\end{figure}
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\end{figure}
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In the instance \<^theory_text>\<open>introduction1\<close>, the term antiquotation \<^theory_text>\<open>@{myauthor \<open>church\<close>}\<close>,
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In the instance \<^theory_text>\<open>introduction1\<close>, the term antiquotation \<^theory_text>\<open>@{myauthor \<open>church\<close>}\<close>,
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@ -1047,7 +1047,7 @@ onto_class assoc_Method_Problem =
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(*>*)
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(*>*)
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text\<open>
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text\<open>
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The ontology \<^emph>\<open>OntoMath\textsuperscript{PRO}\<close> @{cite "Nevzorova2014OntoMathPO"}
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The \<^emph>\<open>OntoMath\textsuperscript{PRO}\<close> ontology~@{cite "Nevzorova2014OntoMathPO"}
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is an OWL ontology of mathematical knowledge concepts.
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is an OWL ontology of mathematical knowledge concepts.
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It posits the IS-A semantics for hierarchies of mathematical knowledge elements,
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It posits the IS-A semantics for hierarchies of mathematical knowledge elements,
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and defines these elements as two hierarchies of classes:
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and defines these elements as two hierarchies of classes:
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@ -1057,9 +1057,10 @@ text\<open>
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like \<^const>\<open>belongs_to\<close>, \<^const>\<open>contains\<close>, \<^const>\<open>defines\<close>, \<^const>\<open>is_defined_by\<close>, \<^const>\<open>solves\<close>,
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like \<^const>\<open>belongs_to\<close>, \<^const>\<open>contains\<close>, \<^const>\<open>defines\<close>, \<^const>\<open>is_defined_by\<close>, \<^const>\<open>solves\<close>,
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\<^const>\<open>is_solved_by\<close>, and a symmetric transitive associative relation \<^const>\<open>see_also\<close>
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\<^const>\<open>is_solved_by\<close>, and a symmetric transitive associative relation \<^const>\<open>see_also\<close>
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between two mathematical knowledge objects.
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between two mathematical knowledge objects.
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It also represents links with external resources such as DBpedia
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It also represents links with external resources
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with annotations properties @{cite "Parsia:12:OWO"}.
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such as DBpedia~@{cite "10.1007/978-3-540-76298-0_52"}
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\<^dof> covers a wide range of the OWL concepts used by the ontology OntoMath\textsuperscript{PRO}.
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with annotations properties~@{cite "Parsia:12:OWO"}.
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\<^dof> covers a wide range of the OWL concepts used by the OntoMath\textsuperscript{PRO} ontology.
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We can represent the annotations properties as datatypes and
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We can represent the annotations properties as datatypes and
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then attach them as an attributes list to a class.
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then attach them as an attributes list to a class.
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For example the declaration:
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For example the declaration:
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@ -1088,7 +1089,7 @@ onto_class Field_of_mathematics =
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Here the \<^theory_text>\<open>invariant restrict_annotation_F\<close> forces the \<^typ>\<open>annotation\<close>s to be
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Here the \<^theory_text>\<open>invariant restrict_annotation_F\<close> forces the \<^typ>\<open>annotation\<close>s to be
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a \<^const>\<open>label\<close> or a \<^const>\<open>comment\<close>.
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a \<^const>\<open>label\<close> or a \<^const>\<open>comment\<close>.
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Subsumption relation is straightforward.
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Subsumption relation is straightforward.
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The ontology OntoMath\textsuperscript{PRO} defines
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The OntoMath\textsuperscript{PRO} ontology defines
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a \<^typ>\<open>Problem\<close> and a \<^typ>\<open>Method\<close>
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a \<^typ>\<open>Problem\<close> and a \<^typ>\<open>Method\<close>
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as subclasses of the class \<^typ>\<open>Mathematical_knowledge_object\<close>.
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as subclasses of the class \<^typ>\<open>Mathematical_knowledge_object\<close>.
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It gives in \<^dof>:
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It gives in \<^dof>:
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