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1 TEXTE - Exploration et exploitation de données textuelles LIRMM - Laboratoire d-Informatique de Robotique et de Microélectronique de Montpellier 2 Computing Science Laboratory - Oxford University

Abstract : We show that vector space semantics and functional semantics in two- sorted first order logic are equivalent for pregroup grammars. An algo- rithm translates functional expressions to vector expressions and vice- versa. The semantics is compositional, variable free and invariant under change of order or multiplicity. It includes the semantic vector models of Information Retrieval Systems and has an interior logic admitting a comprehension schema. A sentence is true in the interior logic if and only if the -usual- first order formula translating the sentence holds. The examples include negation, universal quantifiers and relative pronouns.

Keywords : compositional semantics quantum logic pregroup grammars semantic vector models symmetric compact closed categories two-sorted functional first order logic

Autor: Anne Preller - Mehrnoosh Sadrzadeh -



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