Skip to Main content Skip to Navigation
Conference papers

From Functional to Distributional Models

Anne Preller 1
1 TEXTE - Exploration et exploitation de données textuelles
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : This paper defines logical functional models in the category of finite dimensional vector spaces over the field of real numbers. The functional models are given by functors from the free compact closed lexical category associated to a pregroup grammar. Any functional model is completely compositional and includes first order predicate logic. Each functional model is mapped to a vector space model in the sense of Kartsaklis, Sadrzadeh, et al. via a 'canonical' probability of the functional model. The logical connectives of the functional model are transferred to the vector space model where they become algebraic operators. The algebraic logical operators subsume the quantum logical operators of van Rijsbergen. The transfer provides an insight into how logical operators and other function words interpreted in abstract semantics change when implemented in vector space semantics.
Complete list of metadatas

Cited literature [10 references]  Display  Hide  Download

https://hal-lirmm.ccsd.cnrs.fr/lirmm-00840150
Contributor : Anne Preller <>
Submitted on : Monday, July 1, 2013 - 4:36:57 PM
Last modification on : Thursday, May 24, 2018 - 3:59:23 PM
Document(s) archivé(s) le : Wednesday, October 2, 2013 - 4:14:20 AM

File

PrellerQPL2013.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : lirmm-00840150, version 1

Collections

Citation

Anne Preller. From Functional to Distributional Models. Quantum Physics and Logic 2013, Jul 2013, Barcelona, Spain. pp.17. ⟨lirmm-00840150⟩

Share

Metrics

Record views

477

Files downloads

400