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Category Theoretical Semantics for Pregroup Grammars

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Book cover Logical Aspects of Computational Linguistics (LACL 2005)

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

Abstract

We describe the derivations in a pregroup grammar as the 2-cells of a free compact 2-category defined by the grammar. The 2-cells of this category are the intermediary parsing structures necessary for a semantic interpretation when pregroups are used in natural language processing. The construction of the free compact 2-category also provides another cut-free axiomatisation of compact bilinear logic.

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References

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Author information

Authors and Affiliations

  1. LIRMM/CNRS, 34392, Montpellier, France

    Anne Preller

Authors
  1. Anne Preller
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Editor information

Editors and Affiliations

  1. LPL-CNRS, Université de Provence, 29 Avenue Robert Schuman, P.O. Box, 13621, Aix-en-Provence, France

    Philippe Blache

  2. Linguistics Dept., UCLA, Box 951543, 90095-1542, Los Angeles, CA, USA

    Edward Stabler

  3. ERSS, Université Bordeaux 3, CNRS, Domaine Universitaire, 33607, Pessac Cedex, France

    Joan Busquets

  4. LaBRI, Université Bordeaux 1, CNRS, 351, Cours de la Libération, 33405, Talence Cedex, France

    Richard Moot

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© 2005 Springer-Verlag Berlin Heidelberg

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Preller, A. (2005). Category Theoretical Semantics for Pregroup 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_16

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  • DOI: https://doi.org/10.1007/11422532_16

  • 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)

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