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Reports Year : 2011

From Sentence to Concept, a Linguistic Quantum Logic

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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Dates and versions

lirmm-00600428 , version 1 (14-06-2011)

Identifiers

  • HAL Id : lirmm-00600428 , version 1

Cite

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