Skip to main content

CoTAGs and ACGs

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7351))

Abstract

Our main concern is to provide a complete picture of how coTAGs, as a particular variant within the general framework of tree adjoining grammars (TAGs), can be captured under the notion of abstract categorial grammars (ACGs). coTAGs have been introduced by Barker [1] as an “alternative conceptualization” in order to cope with the tension between the TAG-mantra of the “locality of syntactic dependencies” and the seeming non-locality of quantifier scope. We show how our formalization of Barker’s proposal leads to a class of higher order ACGs. By taking this particular perspective, Barker’s proposal turns out as a straightforward extension of the proposal of Pogodalla [11], where the former in addition to “simple” inverse scope phenomena also captures inverse linking and non-inverse linking phenomena.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barker, C.: Cosubstitution, derivational locality, and quantifier scope. In: Proceedings of the Tenth International Workshop on Tree Adjoining Grammars and Related Formalisms (TAG+10), New Haven, CT, pp. 135–142 (2010)

    Google Scholar 

  2. Bauderon, M., Courcelle, B.: Graph expressions and graph rewriting. Mathematical Systems Theory 20, 83–127 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  3. de Groote, P.: Towards abstract categorial grammars. In: 39th Annual Meeting of the Association for Computational Linguistics (ACL 2001), Toulouse, pp. 252–259. ACL (2001)

    Google Scholar 

  4. de Groote, P.: Tree-adjoining grammars as abstract categorial grammars. In: Proceedings of the Sixth International Workshop on Tree Adjoining Grammars and Related Formalisms (TAG+6), Venezia, pp. 145–150 (2002)

    Google Scholar 

  5. Habel, A., Kreowski, H.J.: Some Structural Aspects of Hypergraph Languages Generated by Hyperedge Replacement. In: Brandenburg, F.J., Vidal-Naquet, G., Wirsing, M. (eds.) STACS 1987. LNCS, vol. 247, pp. 207–219. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

  6. Joshi, A.K.: An introduction to tree adjoining grammars. In: Manaster-Ramer, A. (ed.) Mathematics of Language, pp. 87–114. John Benjamins, Amsterdam (1987)

    Google Scholar 

  7. Joshi, A.K., Schabes, Y.: Tree adjoining grammars. In: Rozenberg, G., Salomaa, A. (eds.) Handbook of Formal Languages, vol. 3, pp. 69–124. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  8. Kanazawa, M.: Parsing and generation as datalog queries. In: 45th Annual Meeting of the Association for Computational Linguistics (ACL 2007), Prague, pp. 176–183. ACL (2007)

    Google Scholar 

  9. Kanazawa, M.: Second-order abstract categorial grammars as hyperedge replacement grammars. Journal of Logic, Language and Information 19, 137–161 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Pogodalla, S.: Computing semantic representation. Towards ACG abstract terms as derivation trees. In: Proceedings of the Seventh International Workshop on Tree Adjoining Grammars and Related Formalisms (TAG+7), Vancouver, BC, pp. 64–71 (2004)

    Google Scholar 

  11. Pogodalla, S.: Ambiguïté de portée et approche fonctionnelle des grammaires d’arbres adjoints. In: Traitement Automatique des Langues Naturelles (TALN 2007), Toulouse, 10 pages (2007)

    Google Scholar 

  12. Salvati, S.: Encoding second order string ACG with deterministic tree walking transducers. In: Wintner, S. (ed.) Proceedings of FG 2006: The 11th Conference on Formal Grammar, pp. 143–156. CSLI Publications, Stanford (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kobele, G.M., Michaelis, J. (2012). CoTAGs and ACGs. In: Béchet, D., Dikovsky, A. (eds) Logical Aspects of Computational Linguistics. LACL 2012. Lecture Notes in Computer Science, vol 7351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31262-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31262-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31261-8

  • Online ISBN: 978-3-642-31262-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics