Skip to main content
SpringerLink
Log in

Pregroup Grammars and Chomsky’s Earliest Examples

  • Published:
Journal of Logic, Language and Information Aims and scope Submit manuscript

Abstract

Pregroups are partially ordered monoids in which each element has two “adjoints”. Pregroup grammars provide a computational approach to natural languages by assigning to each word in the mental dictionary a type, namely an element of the pregroup freely generated by a partially ordered set of basic types. In this expository article, the attempt is made to introduce linguists to a pregroup grammar of English by looking at Chomsky’s earliest examples.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Buszkowski, W. (2001). Lambek grammars based on pregroups. In P. de Groote, et al. (Eds.), Logical aspects of computational linguistics (pp. 95–109). Springer LNAI 2099.

  • Chomsky, N.: Syntactic structures. Mouton, The Hague (1957)

    Google Scholar 

  • Harris, Z.: A cyclic cancellation automaton for sentence well-formedness. International Computation Centre Bulletin 5, 69–94 (1966)

    Google Scholar 

  • Harris, Z.: Mathematical structure of language. Interscience Publishers, New York (1968)

    Google Scholar 

  • Lambek, J. (1999). Type grammar revisited. In F. Lamarche, et al. (Eds.), Logical aspects of computational linguistics (pp. 1–27). Springer LNAI 1582.

  • Lambek, J.: Type grammars as pregroups. Grammar 4, 21–39 (2001)

    Article  Google Scholar 

  • Lambek, J.: A computational algebraic approach to English grammar. Syntax 7(2), 128–147 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, McGill University, 805 Sherbrooke Street West, Montreal, QC, Canada, H3A 2K6

    J. Lambek

Authors
  1. J. Lambek
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. Lambek.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lambek, J. Pregroup Grammars and Chomsky’s Earliest Examples. J of Log Lang and Inf 17, 141–160 (2008). https://doi.org/10.1007/s10849-007-9053-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10849-007-9053-2

Keywords

Search

Navigation