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Proof reading

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Nicolas Méric 2024-04-15 14:28:31 +02:00
parent b554f20a5c
commit c945da75fa
1 changed files with 9 additions and 10 deletions
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17
Isabelle_DOF/thys/manual/M_05_Proofs_Ontologies.thy
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@ -61,13 +61,6 @@ resulting transformation of @{doc_class AA}-instances and @{doc_class BB}-instan
but not injective. The \<^term>\<open>CC.tag_attribute\<close> is used to potentially differentiate instances with
equal attribute-content and is irrelevant here.\<close>
text\<open>This specification construct introduces the following constants and definitions:
\<^item> @{term [source] \<open>convert\<^sub>A\<^sub>A\<^sub>_\<^sub>B\<^sub>B\<^sub>_\<^sub>C\<^sub>C :: AA \<times> BB \<Rightarrow> CC\<close>}
\<^item> @{term [source] \<open>convert\<^sub>D\<^sub>D\<^sub>_\<^sub>E\<^sub>E\<^sub>_\<^sub>F\<^sub>F :: DD \<times> EE \<Rightarrow> FF\<close>}
\<^item> @{term [source] \<open>convert\<^sub>A\<^sub>A\<^sub>_\<^sub>B\<^sub>B\<^sub>_\<^sub>C\<^sub>C\<^sub>_\<^sub>D\<^sub>D\<^sub>_\<^sub>E\<^sub>E\<^sub>_\<^sub>F\<^sub>F :: AA \<times> BB \<times> CC \<times> DD \<times> EE \<Rightarrow> FF\<close>}
and corresponding definitions. \<close>
(*<*) (* Just a test, irrelevant for the document.*)
doc_class A_A = aa :: nat
@ -78,6 +71,13 @@ onto_morphism (A_A, BB', CC, DD, EE) to FF
(*>*)
text\<open>This specification construct introduces the following constants and definitions:
\<^item> @{term [source] \<open>convert\<^sub>A\<^sub>A\<^sub>_\<^sub>B\<^sub>B\<^sub>_\<^sub>C\<^sub>C :: AA \<times> BB \<Rightarrow> CC\<close>}
\<^item> @{term [source] \<open>convert\<^sub>D\<^sub>D\<^sub>_\<^sub>E\<^sub>E\<^sub>_\<^sub>F\<^sub>F :: DD \<times> EE \<Rightarrow> FF\<close>}
% @{term [source] \<open>convert\<^sub>A\<^sub>_\<^sub>A\<^sub>\<times>\<^sub>B\<^sub>B\<^sub>'\<^sub>\<times>\<^sub>C\<^sub>C\<^sub>\<times>\<^sub>D\<^sub>D\<^sub>\<times>\<^sub>E\<^sub>E\<^sub>\<Rightarrow>\<^sub>F\<^sub>F :: A_A \<times> BB' \<times> CC \<times> DD \<times> EE \<Rightarrow> FF\<close>}
and corresponding definitions. \<close>
subsection\<open>Proving the Preservation of Ontological Mappings : A Document-Ontology Morphism\<close>
text\<open>\<^dof> as a system is currently particularly geared towards \<^emph>\<open>document\<close>-ontologies, in
@ -182,7 +182,6 @@ next
using list.set_cases by force
qed
onto_morphism (acm) to elsevier
where "convert\<^sub>a\<^sub>c\<^sub>m\<^sub>\<Rightarrow>\<^sub>e\<^sub>l\<^sub>s\<^sub>e\<^sub>v\<^sub>i\<^sub>e\<^sub>r \<sigma> =
\<lparr>elsevier.tag_attribute = acm.tag_attribute \<sigma>,
@ -321,7 +320,7 @@ text\<open>These two example ontologies were linked via conversion functions cal
The hic is that we can prove for the morphisms connecting these ontologies, that the conversions
are guaranteed to preserve the data-invariants, although the data-structures (and, of course,
the presentation of them) is very different. Besides, morphisms functions can be ``forgetful''
(\<^ie> surjective), ``embedding'' (\<^ie> injective) or even ``one-to-one'' ((\<^ie> bikjective).\<close>
(\<^ie> surjective), ``embedding'' (\<^ie> injective) or even ``one-to-one'' ((\<^ie> bijective).\<close>
definition Item_to_Resource_morphism :: "Item \<Rightarrow> Resource"
("_ \<langle>Resource\<rangle>\<^sub>I\<^sub>t\<^sub>e\<^sub>m" [1000]999)