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Quantum Physics and LinguisticsA Compositional, Diagrammatic Discourse$
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Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette

Print publication date: 2013

Print ISBN-13: 9780199646296

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780199646296.001.0001

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From Sentence to Concept

From Sentence to Concept

(p.252) CHAPTER 9 From Sentence to Concept
Quantum Physics and Linguistics

Preller Anne

Oxford University Press

The compositional functional logical models of natural language are recast as compact closed categories. Composition is based on the geometrical representation of information flow characteristic for these categories. The functional logical interpretation of (strings of) words is carried over to projectors in a finite tensor product of two-dimensional spaces such that the truth of a sentence is equivalent to the truth of the corresponding projector. Examples include sentences with compound noun phrases involving quantifiers, adjectives, and negation.

Keywords:   compact closed categories, quantum logic, concept spaces, two-sorted first-order logic, compositional semantics, pregroup grammars, proof graphs, compound noun phrases

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