Skip to main content
SpringerLink
Log in

Generalized Categorial Dependency Grammars

  • Chapter
Book cover Pillars of Computer Science

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4800))

Abstract

Generalized Categorial Dependency Grammars (gCDG) studied in this paper are genuine categorial grammars expressing projective and discontinuous dependencies, stronger than CF-grammars and non-equivalent to mild context-sensitive grammars. We show that gCDG are parsed in polynomial time and enjoy good mathematical properties.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Bar-Hillel, Y.: A quasi-arithmetical notation for syntactic description. Language 29(1), 47–58 (1953)

    Article  Google Scholar 

  2. Bar-Hillel, Y., Gaifman, H., Shamir, E.: On categorial and phrase structure grammars. Bull. Res. Council Israel 9F, 1–16 (1960)

    MathSciNet  Google Scholar 

  3. Béchet, D., Dikovsky, A., Foret, A.: Dependency structure grammars. In: Blache, P., et al. (eds.) LACL 2005. LNCS (LNAI), vol. 3492, pp. 18–34. Springer, Heidelberg (2005)

    Google Scholar 

  4. Béchet, D., et al.: On learning discontinuous dependencies from positive data. In: Proc. of the 9th Intern. Conf. Formal Grammar 2004 (FG 2004), pp. 1–16 (2004), http://cs.haifa.ac.il/~shuly/fg04/

  5. Bresnan, J., et al.: Cross-serial dependencies in Dutch. Linguistic Inquiry 13(4), 613–635 (1982)

    Google Scholar 

  6. Bröker, N.: Separating surface order and syntactic relations in a dependency grammar. In: Proc. COLING-ACL, Montreal, pp. 174–180 (1998)

    Google Scholar 

  7. Buszkowski, W.: Lambek grammars based on pregroups. In: de Groote, P., Morrill, G., Retoré, C. (eds.) LACL 2001. LNCS (LNAI), vol. 2099, Springer, Heidelberg (2001)

    Google Scholar 

  8. Dekhtyar, M., Dikovsky, A.: Categorial dependency grammars. In: Moortgat, M., Prince, V. (eds.) Proc. of Intern. Conf. on Categorial Grammars, Montpellier, pp. 76–91 (2004)

    Google Scholar 

  9. Dikovsky, A.: Grammars for local and long dependencies. In: Proc. of the Intern. Conf. ACL 2001, Toulouse, France, pp. 156–163. ACL & Morgan Kaufman (2001)

    Google Scholar 

  10. Dikovsky, A.: Polarized non-projective dependency grammars. In: de Groote, P., Morrill, G., Retoré, C. (eds.) LACL 2001. LNCS (LNAI), vol. 2099, pp. 139–157. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  11. Dikovsky, A.: Linguistic meaning from the language acquisition perspective. In: Jäger, G., et al. (eds.) Proc. of the 8th Intern. Conf. Formal Grammar 2003, FG 2003, Vienna, Austria, Vienna Techn. Univ. (2003)

    Google Scholar 

  12. Dikovsky, A.: Dependencies as categories. In: Duchier, D., Kruijff, G.J.M. (eds.) Recent Advances in Dependency Grammars. COLING 2004 Workshop, pp. 90–97 (2004)

    Google Scholar 

  13. Dikovsky, A., Modina, L.: Dependencies on the other side of the curtain. Traitement Automatique des Langues (TAL) 41(1), 79–111 (2000)

    Google Scholar 

  14. Gaifman, H.: Dependency systems and phrase structure systems. Report p-2315, RAND Corp. Santa Monica (CA) (1961) (Published in: Information and Control 8(3), 304–337 (1965))

    Google Scholar 

  15. Gladkij, A.V.: Lekcii po Matematičeskoj Lingvistike dlja Studentov NGU [Course of Mathematical Linguistics. Novosibirsk State University (Russ.)]. (French transl. Leçons de linguistique mathématique. facs. 1, 1970, Dunod). Novosibirsk State University (1966)

    Google Scholar 

  16. Hays, D.: Grouping and dependency theories. Research memorandum RM-2646, The RAND Corporation (1960), Published in Proc. of the National Symp. on Machine Translation, Englewood Cliffs (NY), pp. 258–266 (1961)

    Google Scholar 

  17. Hudson, R.A.: Word Grammar. Basil Blackwell, Oxford-New York (1984)

    Google Scholar 

  18. Jackendoff, R.: X’ Syntax: A Study of Phrase Structure. MIT Press, Cambridge, MA (1977)

    Google Scholar 

  19. Joshi, A.K., Shanker, V.K., Weir, D.J.: The convergence of mildly context-sensitive grammar formalisms. In: Sells, P., Shieber, S., Wasow, T. (eds.) Foundational issues in natural language processing, pp. 31–81. MIT Press, Cambridge, MA (1991)

    Google Scholar 

  20. Kahane, S. (ed.): Les grammaires de dépendance. In: Kahane, S. (ed.) Traitement automatique des langues, Paris, Hermes, vol. 41, n. 1/2000 (2000)

    Google Scholar 

  21. Kruijff, J.J.M., Duchier, D. (eds.): Recent Advances in Dependency Grammars. In: Kruijff, J.J.M., Duchier, D. (eds.) Proceedings of COLING Workshop, Geneva (August 2004)

    Google Scholar 

  22. Lambek, J.: Type grammar revisited. In: Lecomte, A., Perrier, G., Lamarche, F. (eds.) LACL 1997. LNCS (LNAI), vol. 1582, pp. 1–27. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  23. Lombardo, V., Lesmo, L.: An Earley-type recognizer for dependency grammar. In: Proc. 16th COLING, pp. 723–728 (1996)

    Google Scholar 

  24. Mel’čuk, I.: Dependency Syntax. SUNY Press, Albany, NY (1988)

    Google Scholar 

  25. Moortgat, M., Morrill, G.V.: Heads and phrases. Type calculus for dependency and constituent structure. Ms OTS, Utrecht (1991)

    Google Scholar 

  26. Morrill, G.V.: Type Logical Grammar. Categorial Logic of Signs. Kluwer Academic Publishers, Dordrecht (1994)

    MATH  Google Scholar 

  27. Robinson, J.J.: Dependency structures and transformational rules. Language 46(2), 259–285 (1970)

    Article  Google Scholar 

  28. Sleator, D., Temperly, D.: Parsing English with a Link Grammar. In: Proc. IWPT 1993, pp. 277–291 (1993)

    Google Scholar 

  29. Tesnière, L.: Éléments de syntaxe structurale. Librairie C. Klincksieck, Paris (1959)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Computer Science, Tver State University, Tver, Russia, 170000

    Michael Dekhtyar

  2. LINA CNRS 2729, Université de Nantes, 2, rue de la Houssinière, BP 92208 F 44322, Nantes cedex 3, France

    Alexander Dikovsky

Authors
  1. Michael Dekhtyar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alexander Dikovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Arnon Avron Nachum Dershowitz Alexander Rabinovich

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Dekhtyar, M., Dikovsky, A. (2008). Generalized Categorial Dependency Grammars. In: Avron, A., Dershowitz, N., Rabinovich, A. (eds) Pillars of Computer Science. Lecture Notes in Computer Science, vol 4800. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78127-1_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-78127-1_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78126-4

  • Online ISBN: 978-3-540-78127-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation