# From Sentence to Concept, a Linguistic Quantum Logic

1 TEXTE - Exploration et exploitation de données textuelles
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : The category of semi-modules over the lattice of a real interval $I$ serves as a common frame for extensional logical semantics and conceptual vector semantics of natural language. The vector lattice of an $I$-space is embedded in its projector lattice. Words are represented by an extensional vector given in a pregroup lexicon and a conceptual vector that lives in a tensor product of 2-dimensional spaces where each 2-dimensional space stand for a 'basic' concept. Syntactical analysis defines the extensional vector of a grammatical string compositionally. The latter is translated to the concept vector of the string such that the truth of a sentence is equivalent to the truth of a concept. Examples include compound noun phrases with adjectives, quantifiers, negation and relative pronouns.
Keywords :
Type de document :
Rapport
RR-11019, 2011
Domaine :

https://hal-lirmm.ccsd.cnrs.fr/lirmm-00600428
Contributeur : Anne Preller <>
Soumis le : mardi 14 juin 2011 - 19:18:50
Dernière modification le : jeudi 24 mai 2018 - 15:59:23
Document(s) archivé(s) le : lundi 5 décembre 2016 - 02:38:19

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SentenceToConcept.pdf
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• HAL Id : lirmm-00600428, version 1

### Citation

Anne Preller. From Sentence to Concept, a Linguistic Quantum Logic. RR-11019, 2011. 〈lirmm-00600428〉

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