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Semantics in Biproduct Dagger Categories: a quantum logic for natural language

Anne Preller 1, *
* Corresponding author
1 TEXTE - Exploration et exploitation de données textuelles
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : Biproduct dagger categories serve as models for natural language. They link the extensional models of predicate calculus with the intensional models of quantum logic. The morphisms representing the extensional meanings of a grammatical string are translated to projectors representing the intensional meanings such that truth is preserved. Pregroup grammars serve as the tool that transforms a grammatical string into a morphism. The chosen linguistic examples concern negation, relative noun phrases, comprehension and quantifiers.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00719198
Contributor : Anne Preller <>
Submitted on : Thursday, July 19, 2012 - 11:51:38 AM
Last modification on : Thursday, May 24, 2018 - 3:59:23 PM
Long-term archiving on: : Saturday, October 20, 2012 - 2:36:33 AM

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Anne Preller. Semantics in Biproduct Dagger Categories: a quantum logic for natural language. RR-12017, 2012, pp.1-28. ⟨lirmm-00719198⟩

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