Skip to main content
Springer Nature Link
Log in

Anaphora and Quantification in Categorial Grammar

  • Conference paper
  • First Online:
Logical Aspects of Computational Linguistics (LACL 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2014))

  • 272 Accesses

Abstract

The paper proposes a type logical reformulation of Jacob- son’s ([9]) treatment of anaphoric dependencies in Categorial Grammar. To this end, the associative Lambek Calculus is extended with a new connective. In the first part, its proof theory is introduced and the logical properties of the resulting calculus are discussed. In the second part, this system is applied to several linguistic phenomena concerning the interaction of pronominal anaphora, VP ellipsis and quantifier scope. Finally, a possible extension to cross-sentential anaphora is considered.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Chomsky, N. Conditions on rules in grammar. Linguistic Analysis, 2:303–351, 1976.

    Google Scholar 

  2. Gawron, J. M., and S. Peters. Anaphora and Quantification in Situation Semantics. CSLI, Stanford, 1990.

    Google Scholar 

  3. Groenendijk, J., and M. Stokhof. Dynamic Montague Grammar. In Jeroen Groenendijk, Martin Stokhof, and David Ian Beaver, editors, Quantification and Anaphora I, DYANA deliverable R2.2a. Amsterdam, 1991.

    Google Scholar 

  4. Heim, I. The Semantics of Definite and Indefinite Noun Phrases. PhD thesis, University of Massachusetts, Amherst, 1982.

    Google Scholar 

  5. Hepple, M. The Grammar and Processing of Order and Dependency: A Categorial Approach. PhD thesis, University of Edinburgh, 1990.

    Google Scholar 

  6. Jacobson, P. Bach-Peters sentences in a variable-free semantics. In Dekker, P., and M. Stokhof, editors, Proceedings of the Eighth Amsterdam Colloquium. University of Amsterdam, 1992.

    Google Scholar 

  7. Jacobson, P. Binding connectivity in copular sentences. In Harvey, M., and L. Santelmann, editors, Proceedings of SALT IV, pages 161–178. Cornell University, 1994.

    Google Scholar 

  8. Jacobson, P. i-within-i effects in a variable-free semantics and a categorial syntax. In Dekker, P., and M. Stokhof, editors, Proceedings of the Ninth Amsterdam Colloquium. University of Amsterdam, 1994.

    Google Scholar 

  9. Jacobson, P. Towards a variable-free semantics. Linguistics and Philosophy, 22(2):117–184, 1999.

    Article  Google Scholar 

  10. Jäger, G. Focus without variables: A multi-modal analysis. In Shahin, K. N., S. Blake, and E.-S. Kim, editors, Proceedings of WCCFL 17. CSLI Publications, 1999.

    Google Scholar 

  11. Kamp, H., and Reyle, U. From Discourse to Logic. Introduction to Modeltheoretic Semantics of Natural Language, Formal Logic and Discourse Representation Theory. Kluwer, Dordrecht, 1993.

    Google Scholar 

  12. Kratzer, A. The representation of focus. In Arnim von Stechow and Dieter Wunderlich, editors, Handbook Semantics. de Gruyter, Berlin, New York, 1991.

    Google Scholar 

  13. Lambek, J. The mathematics of sentence structure. American Mathematical Monthly, 65:154–170, 1958.

    Article  MATH  MathSciNet  Google Scholar 

  14. Moortgat, M. Categorial Investigations. Logical and Linguistic Aspects of the Lambek Calculus. Foris, Dordrecht, 1988.

    Google Scholar 

  15. Moortgat, M. Generalized quantification and discontinuous type constructors. In Sijtsma, W., and A. von Horck, editors, Discontinuous Constituency. De Gruyter, Berlin, 1996.

    Google Scholar 

  16. Moortgat, M. In situ binding: A modal analysis. In Dekker, P., and M. Stokhof, editors, Proceedings or the 10th Amsterdam Colloquium, pages 539–549. ILLC, University of Amsterdam, 1996.

    Google Scholar 

  17. Moortgat, M. Multimodal linguistic inference. Journal of Logic, Language and Information, 5(3/4):349–385, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  18. Morrill, G. Type Logical Grammar. Kluwer, 1994.

    Google Scholar 

  19. Pereira, F. C. N. Categorial semantics and scoping. Computational Linguistics, 16(1):1–10, 1990.

    Google Scholar 

  20. Rooth, M. Association with Focus. PhD thesis, University of Massachusetts, Amherst, 1985.

    Google Scholar 

  21. Sag, I. A. Deletion and Logical Form. PhD thesis, MIT, 1976.

    Google Scholar 

  22. Szabolcsi, A. Bound Variables in Syntax. (Are there any?). Institute of Linguistics, Hungarian Academy of Science, Budapest, 1988.

    Google Scholar 

  23. Szabolcsi, A. Reconstruction, anaphora, and pronouns as identity maps. In Dekker, P., M. Stokhof, and Y. Venema, editors, Proceedings of the 11th Amsterdam Colloquium. University of Amsterdam, 1997.

    Google Scholar 

  24. Veltman, F. Defaults in update semantics. Journal of Philosophical Logic, 25: 221–261, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  25. Williams, E. Blocking and anaphora. Linguistic Inquiry, 28(4):577–628, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zentrum für Allgemeine Sprachwissenschaft, Jägerstr. 10/11, D-10117, Berlin, Germany

    Gerhard Jäger

Authors
  1. Gerhard Jäger
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Utrecht Institute of Linguistics OTS, Trans 10, 3512 JK Utrecht, The Netherlands

    Michael Moortgat

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jäger, G. (2001). Anaphora and Quantification in Categorial Grammar. In: Moortgat, M. (eds) Logical Aspects of Computational Linguistics. LACL 1998. Lecture Notes in Computer Science(), vol 2014. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45738-0_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-45738-0_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42251-8

  • Online ISBN: 978-3-540-45738-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation