Advertisement

Transforming Linear Context-Free Rewriting Systems into Minimalist Grammars

  • Jens Michaelis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2099)

Abstract

The type of a minimalist grammar (MG) as introduced by Stabler [11,12] provides an attempt of a rigorous algebraic formalization of the new perspectives adopted within the linguistic framework of transformational grammar due to the change from GB-theory to minimalism. Michaelis [6] has shown that MGs constitute a subclass of mildly context-sensitive grammars in the sense that for each MG there is a weakly equivalent linear context-free rewriting system (LCFRS). However, it has been left open in [6], whether the respective classes of string languages derivable by MGs and LCFRSs coincide. This paper completes the picture by showing that MGs in the sense of [11] and LCFRSs give in fact rise to the same class of derivable string languages.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Henk Harkema. A recognizer for minimalist grammars. In Proceedings of the Sixth International Workshop on Parsing Technologies (IWPT 2000), Trento, pages 111–122, 2000.Google Scholar
  2. 2.
    Henk Harkema. A characterization of minimalist languages, 2001. This volume.Google Scholar
  3. 3.
    Richard S. Kayne. Overt vs. covert movement. Syntax, 1:128–191, 1998.CrossRefGoogle Scholar
  4. 4.
    Hilda Koopman and Anna Szabolcsi. Verbal Complexes. MIT Press, Cambridge, MA, 2000.Google Scholar
  5. 5.
    Anoop Mahajan. Eliminating head movement. In GLOW Newsletter #44, pages 44–45, 2000. Abstract of the talk held at the 23rd Generative Linguistics in the Old World Conference (GLOW 2000), Vitoria-Gasteiz/Bilbao.Google Scholar
  6. 6.
    Jens Michaelis. Derivational minimalism is mildy context-sensitive. In M. Moortgat, editor, Logical Aspects of Computational Linguistics (LACL’ 98), Lecture Notes in Artificial Intelligence Vol. 2014. Springer, Berlin, Heidelberg, to appear. Also available at http://www.ling.uni-potsdam.de/~michael/papers.html.
  7. 7.
    Jens Michaelis. On formal properties of minimalist grammars. Potsdam University, Potsdam, in preperation.Google Scholar
  8. 8.
    Carl J. Pollard. Generalized Phrase Structure Grammars, Head Grammars, and Natural Language. PhD thesis, Stanford University, Stanford, CA, 1984.Google Scholar
  9. 9.
    Owen Rambow and Giorgio Satta. Independent parallelism in finite copying parallel rewriting systems. Theoretical Computer Science, 223:87–120, 1999.zbMATHCrossRefMathSciNetGoogle Scholar
  10. 10.
    Hiroyuki Seki, Takashi Matsumura, Mamoru Fujii, and Tadao Kasami. On multiple context-free grammars. Theoretical Computer Science, 88:191–229, 1991.zbMATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    Edward P. Stabler. Derivational minimalism. In C. Retoré, editor, Logical Aspects of Computational Linguistics (LACL’ 96), Lecture Notes in Artificial Intelligence Vol. 1328, pages 68–95. Springer, Berlin, Heidelberg, 1997.CrossRefGoogle Scholar
  12. 12.
    Edward P. Stabler. Acquiring languages withm ovement. Syntax, 1:72–97, 1998.CrossRefGoogle Scholar
  13. 13.
    Edward P. Stabler. Remnant movement and complexity. In G. Bouma, G.-J. M. Kruijff, E. Hinrichs, and R. T. Oehrle, editors, Constraints and Resources in Natural Language Syntax and Semantics, pages 299–326. CSLI Publications, Stanford, CA, 1999.Google Scholar
  14. 14.
    Edward P. Stabler. Recognizing head movement, 2001. This volume.Google Scholar
  15. 15.
    K. Vijay-Shanker, David J. Weir, and Aravind K. Joshi. Characterizing structural descriptions produced by various grammatical formalisms. In 25th Annual Meeting of the Association for Computational Linguistics (ACL’ 87), Stanford, CA, pages 104–111. ACL, 1987.CrossRefGoogle Scholar
  16. 16.
    David J. Weir. Characterizing Mildly Context-Sensitive Grammar Formalisms. PhD thesis, University of Pennsylvania, Philadelphia, PA, 1988.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jens Michaelis
    • 1
  1. 1.Institut für LinguistikUniversität PotsdamPotsdamGermany

Personalised recommendations