From 46841c4d1bc985881c76e9413623a91e6251c113 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Nicolas=20M=C3=A9ric?= Date: Wed, 13 Apr 2022 12:52:22 +0200 Subject: [PATCH] Revise related works, first pass - Shorten mathematical aspects - Introduce AFP --- .../scholarly_paper/2021-ITP-PMTI/paper.thy | 40 +++++++++---------- 1 file changed, 19 insertions(+), 21 deletions(-) diff --git a/examples/scholarly_paper/2021-ITP-PMTI/paper.thy b/examples/scholarly_paper/2021-ITP-PMTI/paper.thy index a6036e22..3325376c 100644 --- a/examples/scholarly_paper/2021-ITP-PMTI/paper.thy +++ b/examples/scholarly_paper/2021-ITP-PMTI/paper.thy @@ -1237,39 +1237,37 @@ subsection*[rw::related_work]\Related Work\ text\There are a number of approaches to use ontologies for structuring the link between information and knowledge, and to make it amenable to - ``semantic'' search in or consistency checking of documents: + ``semantic'' search in or consistency checking of documents. +Some are targeting mathematical libraries: -\<^item> The search engine \<^url>\http://shinh.org/wfs\ uses a quite brute-force, - but practical approach. It is getting its raw-data from Wikipedia and PlanetMath - and similar sites, and uses clever text-based search methods in +\<^item> The search engine \<^url>\http://shinh.org/wfs\ uses clever text-based search methods in a large number of formulas, agnostic of their logical context, and of formal proof. -\<^item> The OAF project @{cite "KohlhaseR21"} comes closest to our ideal of wide-spread - use of ontologies for search in mathematical libraries. - The project developed a common ontological format, called OMDoc/MMT, and - developed six \<^emph>\export\ functions from major ITP systems into it. The more difficult task to - develop \<^emph>\import\ functions has not been addressed, not to mention the construction - of imported proofs in a native tactic proof format. Rather, the emphasis was put on building +\<^item> The OAF project @{cite "KohlhaseR21"} + developed a common ontological format, called OMDoc/MMT, and + developed six \<^emph>\export\ functions from major ITP systems into it. + The emphasis was put on building a server infrastructure based on conventional, rather heavy-weight database and OWL technology. - Our approach targets so far only one ITP system and its libraries, and emphasizes - 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 targeting mathematics: +\<^item> There are meanwhile a number of proposals of ontologies targeting mathematics: \<^item> OntoMath\textsuperscript{PRO} @{cite "Nevzorova2014OntoMathPO"} proposes a ``taxonomy of the fields of mathematics'' (pp 110). In total, - OntoMath\textsuperscript{PRO} contains the daunting number of 3,449 classes, which is in part due to + OntoMath\textsuperscript{PRO} contains the daunting number of 3,449 classes, + which is in part due to the need to compensate the lack of general datatype definition methods for meta-data. - It is inspired from a translation of the Russian Federal Standard for Higher Education - on mathematics for master students, - which makes it nevertheless an interesting starting point for a future development - of a mathematics ontology in the \<^dof> framework. \<^item> Other ontologies worth mentioning are DBpedia @{cite "10.1007/978-3-540-76298-0_52"}, which provides with the \<^emph>\SPARQL endpoint\ \<^url>\http://dbpedia.org/sparql\ a search engine, and the more general ScienceWISE \<^footnote>\\<^url>\http://sciencewise.info/ontology/\.\ that allows users to introduce their own category concepts. - Both suffer from the lack of deeper meta-data modeling, and the latter is still at the beginning - (ScienceWISE marks the Mathematics part as ``under construction''). + + + Our approach emphasizes type-safeness, expressive power and ``depth'' of meta-data, + which is adapted to the specific needs of ITP systems and theory developments. + It is a concrete proposal for the ITP community allowing + a deeper structuring of mathematical libraries + such as the Isabelle Archive of Formal Proofs (AFP)~@{cite "AFP-ref22"} + which passed the impressive numbers of 650 articles, + written by 420 authors at the beginning of 2022. % \<^url>\https://github.com/CLLKazan/OntoMathPro\ %