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Semantic Vector Models and Functional Models for Pregroup Grammars

Anne Preller 1 Mehrnoosh Sadrzadeh 2
1 TEXTE - Exploration et exploitation de données textuelles
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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.
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Submitted on : Thursday, June 2, 2011 - 5:03:07 PM
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Anne Preller, Mehrnoosh Sadrzadeh. Semantic Vector Models and Functional Models for Pregroup Grammars. Journal of Logic, Language and Information, Springer Verlag, 2011, 21, pp.01-25. ⟨10.1007/s10849-011-9132-2⟩. ⟨lirmm-00597923⟩



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