Extending Free Pregroups with Lower Bounds

Studia Logica 95 (3):417-441 (2010)
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Abstract

In this paper, we propose an extension of free pregroups with lower bounds on sets of pregroup elements. Pregroup grammars based on such pregroups provide a kind of an algebraic counterpart to universal quantification over type-variables. In particular, we show how our pregroup extensions can be used for pregroup grammars expressing natural-language coordination and extraction.

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Nissim Francez
Technion, Israel Institute of Technology

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References found in this work

Categorial Type Logics.Michael Moortgat - 1997 - In J. van Benthem & A. ter Meulen (eds.), Handbook of Logic and Language. Elsevier.
Equations in a Free Group.G. S. Makanin - 1986 - Journal of Symbolic Logic 51 (4):1071-1073.

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