Skip to main content

An Annotated Corpus and a Grammar Model of Theorem Description

  • Conference paper
  • First Online:
Mathematical Knowledge Management (MKM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2594))

Included in the following conference series:

Abstract

Digitizing documents is becoming increasingly popular in various fields, and training computers to understand the contents of digitized documents is of growing interest. Since the early 90’s, research of natural language processing using large annotated corpora such as the Penn TreeBank has developed. Applying the methods of corpus-based research, we built a syntactically annotated corpus of theorem descriptions, using a book of set theory, and extracted a grammar model of theorems from the obtained corpus, as the first step to understanding mathematical documents by computer.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Inoue, K., Miyazaki, R., Suzuki, M.: Optical Recognition of Printed Mathematical Documents. Proceedings of the Third Asian Technology Conference in Mathematics. Springer-Verlag. (1998) 280–289

    Google Scholar 

  2. Eto, Y., Suzuki, M.: Mathematical Formula Recognition Using Virtual Link Network. Proceedings of the Sixth International Conference on Document Analysis and Recognition. Seattle. IEEE Computer Society Press. (2001) 430–437

    Google Scholar 

  3. Michler, G.: A prototype of a combined digital and retrodigitaized searchable mathematical journal. Lecture Notes in Control and Infomation Sciences. 249 (1999) 219–235

    Google Scholar 

  4. Michler, G.: Report on the retrodigitiization project “Archiv der Mathemark”. Archiv der Mathemark. 77 (2001) 116–128

    MATH  Google Scholar 

  5. Marcus, M., et al.: Building a large annotated corpus of English:the Penn Tree-Bank. In the distributed Penn TreeBank Project CD-ROM. Linguistic Data Consortium. University of Pennsylvania

    Google Scholar 

  6. Sekine, S., Grishman, R.: A Corpus-based Probabilistic Grammar with Only Two Non-terminals. Fourth International Workshop on Parsing Technology. (1995)

    Google Scholar 

  7. J Cameron, P.: Sets, Logic and Categories. Springer. (1999)

    Google Scholar 

  8. Rotman, J.: Galois theory(2nd ed.). Springer. (1998)

    Google Scholar 

  9. Hodges, W.: A shorter model theory. Cambridge University Press. (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Baba, Y., Suzuki, M. (2003). An Annotated Corpus and a Grammar Model of Theorem Description. In: Asperti, A., Buchberger, B., Davenport, J.H. (eds) Mathematical Knowledge Management. MKM 2003. Lecture Notes in Computer Science, vol 2594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36469-2_8

Download citation

  • DOI: https://doi.org/10.1007/3-540-36469-2_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00568-1

  • Online ISBN: 978-3-540-36469-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics