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Pregroup Grammars, their Syntax and Semantics

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arxiv 2109.11237 v1 pith:C627SIT5 submitted 2021-09-23 cs.CL

Pregroup Grammars, their Syntax and Semantics

Mehrnoosh Sadrzadeh This is my paper
classification cs.CL
keywords grammarslambekpregroupproblemsemanticsspacesalgebraicambiguity
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Pregroup grammars were developed in 1999 and stayed Lambek's preferred algebraic model of grammar. The set-theoretic semantics of pregroups, however, faces an ambiguity problem. In his latest book, Lambek suggests that this problem might be overcome using finite dimensional vector spaces rather than sets. What is the right notion of composition in this setting, direct sum or tensor product of spaces?

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