Skip to main content

Strict Deterministic Aspects of Minimalist Grammars

  • Conference paper
Logical Aspects of Computational Linguistics (LACL 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3492))

Abstract

The Minimalist Grammars (MGs) proposed by Stabler(1997) have tree-shaped derivations (Harkema, 2001b; Michaelis, 2001a). As in categorial grammars, each lexical item is an association between a vocabulary element and complex of features, and so the ”yields” or ”fringes” of the derivation trees are sequences of these lexical items, and the string parts of these lexical items are reordered in the course of the derivation. This paper shows that while the derived string languages can be ambiguous and non-context-free, the set of yields of the derivation trees is always context-free and unambiguous. In fact, the derivation yield languages are strictly deterministic context-free languages, which implies that they are LR(0), and that the generation of derivation trees from a yield language string can be computed in linear time. This result suggests that the work of MG parsing consists essentially of guessing the lexical entries associated with words and empty categories.

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

Access this chapter

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. Chomsky, N.: The Minimalist Program. MIT Press, Cambridge (1995)

    MATH  Google Scholar 

  2. Ebbinghaus, H.-D., Flum, J., Thomas, W.: Mathematical Logic. Springer, Heidelberg (1994)

    MATH  Google Scholar 

  3. Enderton, H.B.: A Mathematical Introduction to Logic. Harcourt (2001)

    Google Scholar 

  4. Harkema, H.: A characterization of minimalist languages. In: de Groote, P., Morrill, G., Retoré, C. (eds.) LACL 2001. LNCS (LNAI), vol. 2099, p. 193. Springer, Heidelberg (2001a)

    Chapter  Google Scholar 

  5. Harkema, H.: Parsing Minimalist Grammars. Ph.D. thesis, UCLA (2001b)

    Google Scholar 

  6. Harrison, M.A.: Introduction to Formal Language Theory. Addison-Wesley, Reading (1978)

    MATH  Google Scholar 

  7. Harrison, M.A., Havel, I.M.: Strict deterministic grammars. Journal of Computer and System Sciences 7, 237–277 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  8. Keenan, E.L., Stabler, E.P.: Bare Grammar: Lectures on Linguistic Invariants. Stanford Monographs in Linguistics. CSLI Publications (2003)

    Google Scholar 

  9. Knuth, D.: On the translation of languages from left to right. Information and Control 8(6), 607–639 (1965)

    Article  MathSciNet  Google Scholar 

  10. Michaelis, Jens. 1998. Derivational minimalism is mildly context-sensitive. In Proceedings, Logical Aspects of Computational Linguistics, LACL’98, Grenoble.

    Chapter  Google Scholar 

  11. Michaelis, J.: On Formal Properties of Minimalist Grammars. Ph.D. thesis, Potsdam University (2001a)

    Google Scholar 

  12. Michaelis, J.: Transforming linear context free rewriting systems into minimalist grammars. In: de Groote, P., Morrill, G., Retoré, C. (eds.) LACL 2001. LNCS (LNAI), vol. 2099, Springer, Heidelberg (2001b)

    Google Scholar 

  13. Shoenfield, J.R.: Mathematical Logic. Addison-Wesley, Reading (1967)

    MATH  Google Scholar 

  14. Stabler, E., Keenan, E.: Structural similarity. Theoretical Computer Science 293, 345–363 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  15. Stabler, E.P.: Derivational minimalism. In: Retoré, C. (ed.) Logical Aspects of Computational Linguistics, pp. 68–95. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hale, J.T., Stabler, E.P. (2005). Strict Deterministic Aspects of Minimalist Grammars. In: Blache, P., Stabler, E., Busquets, J., Moot, R. (eds) Logical Aspects of Computational Linguistics. LACL 2005. Lecture Notes in Computer Science(), vol 3492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11422532_11

Download citation

  • DOI: https://doi.org/10.1007/11422532_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25783-7

  • Online ISBN: 978-3-540-31953-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics