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Methods for analyzing semantic data of electronic collections in mathematics

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Automatic Documentation and Mathematical Linguistics Aims and scope

Abstract

A survey of the key approaches to the semantic processing of mathematical texts is presented. A software platform prototype for the electronic storage of mathematical documents, which is based on the linked open-data (LOD) model and uses semantic information for data management, including formula-fragment searching, is proposed. The analysis of mathematical documents and the extraction of semantic information from the latter are carried out based on the electronic collection of the Izv. Vyssh. Uchebn. Zaved., Mat. (1995–2009) using special-purpose ontologies, metadata representation in the RDF (Resource Description Framework) format, and integration with existing LOD sets.

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References

  1. Bol’shakova, E.I., Klyshinskii, E.S., Lande, D.V., Noskov, A.A., Peskova, O.V., and Yagunova, E.V., Avtomaticheskaya obrabotka tekstov na estestvennom yazyke i komp’yuternaya lingvistika (Automatic Processing of Text on Natural Language and Computer Linguistics), Moscow: MIEM, 2011.

    Google Scholar 

  2. Elizarov, A.M., Lipachev, E.K., and Malakhal’tsev, M.A., Veb-tekhnologii dlya matematika. Osnovy MathML (Web-Technologies for Mathematician. Foundations of MathML), Moscow: Fizmatlit, 2010

    Google Scholar 

  3. Berners-Lee, T., Linked Data — Design Issues, 2006. http://www.w3.org/DesignIssues/LinkedData.html

    Google Scholar 

  4. Biryal’tsev, E.V., Elizarov, A.M., Zhil’tsov, N.G., Ivanov, V.V., Nevzorova, O.A., and Solov’ev, V.D., Model of semantic search in mathematic document collections on the basis of ontologies, Trudy 12-i vseross. nauchn. konf. “Elektron. bibliot.: perspekt. Metody i Tekhn., elektr. koll.” (Proc. 12th All-Russ. Sci. Conf. “Electronic Libraries: Perspective Methods and Technologies, Electronic Collections”), Kazan, 2010, pp. 296–300. http://rcdl.ru/doc/2010/296-300.pdf

    Google Scholar 

  5. Elizarov, A.M., Lipachev, E.K., and Malakhal’tsev, M.A., Services of electronic natural-scientific collections, constructed on the basis of MathML technologies, Proc. All-Russ. Supercomp. Conf. “Scientific Service in Internet: Supercomputer Centers and Tasks”, Moscow, Mos. Gos. Univ., 2010, pp. 533–534. http://agora.guru.ru/abrau2010/pdf/533.pdf

    Google Scholar 

  6. Kamareddine, F. and Wells, J.B., Computerizing mathematical text with MathLang, Electr. Notes Theor. Comput. Sci., 2008, vol. 205, pp. 5–30. http://www.sciencedirect.com/science/article/pii/S1571066108001680

    Article  MathSciNet  Google Scholar 

  7. Kohlhase, M., OMDoc-An open markup format for mathematical documents [version 1.2], Berlin: Springer-Verlag, 2006.

    Book  Google Scholar 

  8. David, C., Kohlhase, M., Lange, C., Rabe, F., Zhiltsov, N., and Zholudev, V., Publishing math lecture notes as linked data, Proc. 7th Extended Semantic Web Conf. (ESWC), 2010, pp. 370–375. http://arxiv.org/pdf/1004.3390.pdf

    Google Scholar 

  9. Kohlhase, M., STeX: Semantic markup in TeX/LaTeX, 2005. https://svn.kwarc.info/repos/stex/trunk/sty/stex.pdf

    Google Scholar 

  10. Dobrov, B.V. and Lukashevich, N.V., Ontology on Natural Sciences and Technologies: Structure, composition and contemporary state, Elektron. Biblioteki. 2008, vol. 11, no. 1. http://www.elbib.ru/index.phtml?page=elbib/rus/journal/2008/part1/DL

    Google Scholar 

  11. Solovyev, V. and Zhiltsov, N., Logical structure analysis of scientific publications in mathematics, Proc. Int. Conf. Web Intelligence, Mining and Semantics (WIMS-11), New York, ACM, 2011, pp. 21.2–21.9.

    Google Scholar 

  12. Nevzorova, O., Zhiltsov, N., Zaikin, D., Zhibrik, O., Kirillovich, A., Nevzorov, V., and Birialtsev, E., Bringing Math to LOD: A semantic publishing platform prototype for scientific collections in mathematics, Proc. 12th Int. Semantic Web Conf., Sydney, Australia, 2013; Berlin: Springer-Verlag, 2013, vol. 8218, Part I, pp. 379–394. http://www.slideshare.net/NikitaZhiltsov/iswc-13talk

    Google Scholar 

  13. Lancu, M., Kohlhase, M., and Rabe, F., Translating the Mizar Mathematical Library into OMDoc format, Technical Report KWARC, Report-01/11, Bremen: Jacobs University, 2011. http://kwarc.info/publications/FRabe.html

    Google Scholar 

  14. Alama, J., Brink, K., Mamane, L., and Urban, J., Large formal Wikis: issues and solutions, Intelligent Computer Mathematics, Lecture Notes in Computer Science, 2011, vol. 6824. pp. 133–148. http://arxiv.org/pdf/1107.3209.pdf

    Google Scholar 

  15. Kohlhase, M., The Planetary project: Towards eMath 3.0, Proc. Conf. on Intelligent Computer Mathematics, Bremen, 2012, Jeuring, J., Campbell, J.A., Carette, J., Reis, G., Sojka, P., Wenzel, M., and Sorge, V., Eds., Berlin: Springer-Verlag, 2012. pp. 448–452. http://kwarc.info/kohlhase/submit/mkm12-planetary.pdf

    Chapter  Google Scholar 

  16. Nevzorova, O.A., Zhil’tsov, N.G., Zaikin, D.A., Zhibrik, O.N., Kirillovich, A.V., Nevzorov, V.N., and Biryal’tsev, E.V., Prototype of program platform for publication of semantic data from mathematical scientific collections in LOD cloud, Uchen. Zap. Kazan. Univ. Ser. “Fiz.-mat. nauki” 2012, vol. 154,B. 3, pp. 216–232.

    Google Scholar 

  17. Nevzorova, O. and Nevzorov, V., The development support system “OntoIntegrator” for linguistic applications, Information Sci. Comp. 2009, vol. 3, no 13, pp. 78–84. http://foibg.com/ibs-isc/ibs-13/ibs-13-p11.pdf

    Google Scholar 

  18. Stamerjohanns, H., Kohlhase, M., Ginev, D., David, C., and Miller, B., Transforming large collections of scientific publications to XML, Mathem. Comp. Sci. 2010, vol. 3, pp. 299–307. http://kwarc.info/kohlhase/papers/mcs09.pdf

    Article  MATH  Google Scholar 

  19. Schraefel, M., Shadbolt, N., and Gibbins, N., CS AKTive space: representing computer science on the Semantic Web, Proc. www, New York: ACM, 2004, pp. 384–392. http://eprints.soton.ac.uk/259084/1/p276-schraefel.pdf

    Chapter  Google Scholar 

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Correspondence to E. V. Biryaltsev.

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Original Russian Text © E.V. Biryaltsev, A.M. Elizarov, N.G. Zhiltsov, E.K. Lipachev, O.A. Nevzorova, V.D. Solovyev, 2014, published in Nauchno-Tekhnicheskaya Informatsiya, Seriya 2, 2014, No. 4, pp. 12–17.

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Biryaltsev, E.V., Elizarov, A.M., Zhiltsov, N.G. et al. Methods for analyzing semantic data of electronic collections in mathematics. Autom. Doc. Math. Linguist. 48, 81–85 (2014). https://doi.org/10.3103/S000510551402006X

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