Further Results on Syntactic Ambiguity of Internal Contextual Grammars

  • Lakshmanan Kuppusamy
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4002)


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?


Natural Language Open Problem Natural Language Processing Control Sequence Arbitrary Choice 
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  1. 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. 2.
    Boullier, P.: From Contextual Grammars to Range Concatenation Grammars. Electronic Notes in Theoretical Computer Science 53 (2001)Google Scholar
  3. 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. 4.
    Ilie, L.: On Computational Complexity of Contextual Languages. Theoretical Computer Science 183(1), 33–44 (1997)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 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. 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. 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. 8.
    Marcus, S.: Algebraic Linguistics, Analytical Models. Academic Press, New York (1967)zbMATHGoogle Scholar
  9. 9.
    Marcus, S.: Contextual Grammars. Rev. Roum. Pures. Appl. 14, 1525–1534 (1969)MathSciNetzbMATHGoogle Scholar
  10. 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. 11.
    Marcus, S., Martin-Vide, C., Păun, G.: Contextual Grammars as Generative Models of Natural Languages. Computational Linguistics, 245–274 (1998)Google Scholar
  12. 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. 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. 14.
    Păun, G.: Contextual Grammars. The Publ. House of the Romanian Academy of Sciences, Bucuresti (1982)zbMATHGoogle Scholar
  15. 15.
    Păun, G.: Marcus Contextual Grammars: After 25 years. Bulletin of EATCS 52, 183–194 (1995)Google Scholar
  16. 16.
    Păun, G.: Marcus Contextual Grammars. Kluwer Academic Publishers, Dordrecht (1997)CrossRefzbMATHGoogle Scholar
  17. 17.
    Păun, G., Nguyen, X.M.: On the Inner Contextual Grammars. Rev. Roum. Pures. Appl. 25, 641–651 (1980)MathSciNetzbMATHGoogle Scholar
  18. 18.
    Salomaa, A.: Formal Languages. Academic Press, London (1973)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Lakshmanan Kuppusamy
    • 1
  1. 1.School of Technology and Computer ScienceTata Institute of Fundamental ResearchMumbaiIndia

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