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Natural Language Semantics in Biproduct Dagger Categories

Anne Preller 1
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. In particular, the biproduct dagger category of finite dimensional vector spaces over the field of real numbers accommodates both the extensional models of predicate calculus and the intensional models of quantum logic. The morphisms representing the extensional meanings of a grammatical string are translated to morphisms 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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Contributor : Anne Preller <>
Submitted on : Tuesday, September 10, 2013 - 3:21:48 PM
Last modification on : Friday, April 2, 2021 - 8:38:05 AM
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Anne Preller. Natural Language Semantics in Biproduct Dagger Categories. Journal of Applied Logic, Elsevier, 2014, 12, pp.88-108. ⟨10.1016/j.jal.2013.08.001⟩. ⟨lirmm-00860382⟩



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