# From Sentence to Concept, a Linguistic Quantum Logic

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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.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00600428
Contributor : Anne Preller Connect in order to contact the contributor
Submitted on : Tuesday, June 14, 2011 - 7:18:50 PM
Last modification on : Friday, August 5, 2022 - 3:03:22 PM
Long-term archiving on: : Monday, December 5, 2016 - 2:38:19 AM

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SentenceToConcept.pdf
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### Identifiers

• 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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