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Conference Papers Year : 2010

Quantum Logic Unites Compositional Functional Semantics and Distributional Semantic Models

Abstract

We view the vectors of a distributional semantic model as vectors of a semi-module over the semi-ring of the real interval I = [0, 1]. We show that the quantum logic of projectors is distributive and includes a Boolean sublattice. The compositional functional semantics of pregroup grammars interprets words and sentences as vectors such that the first order formula, the pregroup vector and the semantic vector interpreting a sentence are equivalent.
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Dates and versions

lirmm-00495559 , version 1 (28-06-2010)

Identifiers

  • HAL Id : lirmm-00495559 , version 1

Cite

Anne Preller, Violaine Prince. Quantum Logic Unites Compositional Functional Semantics and Distributional Semantic Models. ESSLLI: European Summer School in Logic, Language and Information, Aug 2010, Copenhagen, Denmark. ⟨lirmm-00495559⟩
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