Skip to main content
SpringerLink
Log in

Further Results on Syntactic Ambiguity of Internal Contextual Grammars

  • Conference paper
Finite-State Methods and Natural Language Processing (FSMNLP 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4002))

  • 671 Accesses

Abstract

Ambiguity plays an important role in checking the relevances of formalism for natural language processing. As contextual grammars were shown to be an appropriate description for natural languages, analyzing syntactic ambiguity of contextual grammars deserves a special attention. The levels of ambiguity of internal contextual grammars are defined depending on the information used for describing a derivation. In this paper, we continue the study on ambiguity of internal contextual grammars which was investigated in [3] and [13]. We achieve solutions to the following open problems addressed in the above papers. For each (i,j) ∈{(2,1),(1,0),(0,1)}, are there languages which are inherently i-ambiguous with respect to grammars with arbitrary selector, but j-ambiguous with respect to grammars with finite selector?

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 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. Boullier, P.: Range Concatenation Grammars. In: Proceedings of the sixth International Workshop on Parsing Technologies (IWPT 2000), Trento, Italy, pp. 53–64 (2000)

    Google Scholar 

  2. Boullier, P.: From Contextual Grammars to Range Concatenation Grammars. Electronic Notes in Theoretical Computer Science 53 (2001)

    Google Scholar 

  3. Ilie, L.: On Ambiguity in Internal Contextual Languages. In: Martin-Vide, C. (ed.) II Intern. Conf. Math. Linguistics 1996, Tarragona, pp. 29–45. John Benjamins, Amsterdam (1997)

    Google Scholar 

  4. Ilie, L.: On Computational Complexity of Contextual Languages. Theoretical Computer Science 183(1), 33–44 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kudlek, M., Martin-Vide, C., Mateescu, A.: An Infinite Hierarchy of Mildly Context-Sensitive Families of Languages. TUCS Technical Report No. 163 (1998)

    Google Scholar 

  6. Lakshmanan, K., Krishna, S.N., Rama, R., Martin-Vide, C.: Internal Contextual Grammars for Mildly Context Sensitive Languages. Research on Language and Computation (to appear, 2006)

    Google Scholar 

  7. Joshi, A.K.: How much Context-Sensitivity is Required to Provide Structural Descriptions: Tree Adjoining Grammars. In: Dowty, D., Kartunen, L., Zwicky, A. (eds.) Natural Language Processing: Psycholinguistic, Computational, and Theoretical Perspectives, pp. 206–250. Cambridge University Press, Cambridge (1986)

    Google Scholar 

  8. Marcus, S.: Algebraic Linguistics, Analytical Models. Academic Press, New York (1967)

    MATH  Google Scholar 

  9. Marcus, S.: Contextual Grammars. Rev. Roum. Pures. Appl. 14, 1525–1534 (1969)

    MathSciNet  MATH  Google Scholar 

  10. Marcus, S., Martin-Vide, C., Păun, G.: On Internal contextual grammars with maximal use of selectors. In: Proc. 8th Conf. Automata and Formal Languages, Salgotarjan (1996)

    Google Scholar 

  11. Marcus, S., Martin-Vide, C., Păun, G.: Contextual Grammars as Generative Models of Natural Languages. Computational Linguistics, 245–274 (1998)

    Google Scholar 

  12. Martin-Vide, C., Miquel-Verges, J., Păun, G.: Contextual Grammars with Depth-first Derivation. In: Tenth Twente Workshop on Language Technology; Algebraic Methods in Language Processing, Twente, pp. 225–233 (1995)

    Google Scholar 

  13. Martin-Vide, C., Miguel-Verges, J., Păun, G., Salomaa, A.: Attempting to Define the Ambiguity in Internal Contextual Languages. In: Martin-Vide, C. (ed.) II Intern. Conf. Math. Linguistics 1996, Tarragona, pp. 59–81. John Benjamins, Amsterdam (1997)

    Google Scholar 

  14. Păun, G.: Contextual Grammars. The Publ. House of the Romanian Academy of Sciences, Bucuresti (1982)

    MATH  Google Scholar 

  15. Păun, G.: Marcus Contextual Grammars: After 25 years. Bulletin of EATCS 52, 183–194 (1995)

    Google Scholar 

  16. Păun, G.: Marcus Contextual Grammars. Kluwer Academic Publishers, Dordrecht (1997)

    Book  MATH  Google Scholar 

  17. Păun, G., Nguyen, X.M.: On the Inner Contextual Grammars. Rev. Roum. Pures. Appl. 25, 641–651 (1980)

    MathSciNet  MATH  Google Scholar 

  18. Salomaa, A.: Formal Languages. Academic Press, London (1973)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Technology and Computer Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai, 400 005, India

    Lakshmanan Kuppusamy

Authors
  1. Lakshmanan Kuppusamy
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Language Research Service, CSC Scientific Computing Ltd., Finland

    Anssi Yli-Jyrä

  2. Palo Alto Research Center, Stanford University, P.O. Box, USA

    Lauri Karttunen

  3. Department of Mathematics and Turku Centre for Computer Science TUCS, University of Turku, 20014, Turku, Finland

    Juhani Karhumäki

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kuppusamy, L. (2006). Further Results on Syntactic Ambiguity of Internal Contextual Grammars. In: Yli-Jyrä, A., Karttunen, L., Karhumäki, J. (eds) Finite-State Methods and Natural Language Processing. FSMNLP 2005. Lecture Notes in Computer Science(), vol 4002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11780885_14

Download citation

  • DOI: https://doi.org/10.1007/11780885_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35467-3

  • Online ISBN: 978-3-540-35469-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation