Extending free pregroups with lower Bounds

Studia Logica 95 (3):417 - 441 (2010)
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.
Keywords Formal language theory  pregroup grammars  type-logical grammars  natural language
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