polishing

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Burkhart Wolff 2022-02-08 07:14:11 +01:00
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@ -1074,8 +1074,8 @@ in meta-data and stronger invariants.
subsection*[rw::related_work]\<open>Related Work\<close>
text\<open>There are a number of approaches to use ontologies for structuring the link between
information and knowledge in the field of engineering, and to make it amenable to
search and/or consistency checking of documents:
information and knowledge, and to make it amenable to
"semantic" search in or consistency checking of documents:
\<^item> The search engine \<^url>\<open>http://shinh.org/wfs\<close> uses a quite brute-force,
but practical approach. It is getting its raw-data from Wikipedia and PlanetMath
@ -1094,7 +1094,7 @@ search and/or consistency checking of documents:
type-safeness, expressive power and "depth" of meta-data, which is adapted
to the specific needs of ITP systems and theory developments.
\<^item> There are meanwhile a number of proposals of ontologies adapted to the mathematical domain:
\<^item> There are meanwhile a number of proposals of ontologies targeting mathematics:
\<^item> \<open>OntoMath\<^sup>P\<^sup>R\<^sup>O\<close> @{cite "Nevzorova2014OntoMathPO"} proposes a
``taxonomy of the fields of mathematics'' (pp 110). In total,
\<open>OntoMath\<^sup>P\<^sup>R\<^sup>O\<close> contains the daunting number of 3,449 classes, which is in part due to
@ -1126,16 +1126,15 @@ of formal content, be it in the engineering or the mathematics domain.
Another line of future application is to increase the "depth" of build-in term antiquotations such
\<open>@{typ \<open>'\<tau>\<close>}\<close>, \<open>@{term \<open>a + b\<close>}\<close> and \<open>@{thm \<open>HOL.refl\<close>}\<close>, which are currently implemented just as
validations in the current logical context. In the future, they could be optionally expanded to
validations in the current logical context. In the future, they could optionally be expanded to
the types, terms and theorems (with proof objects attached) in a meta-model of the Isabelle Kernel
such as the one presented in @{cite "10.1007/978-3-030-79876-5_6"} (also available in the AFP).
This will allow for the HOL-specification of query-functions in, for example, proof-objects, and
pave the way to annotate proof-objects with typed meta-data. Such a technology could be relevant
This will allow for the HOL-specification of query-functions in, \<^eg>, proof-objects, and
pave the way to annotate them with typed meta-data. Such a technology could be relevant
for the interoperability of proofs across different ITP platforms.
\<close>
subsection*[bib::bibliography]\<open>References\<close>
(*<*)
close_monitor*[this]
end