Quantum Logic Unites Compositional Functional Semantics and Distributional Semantic Models

Anne Preller 1 Violaine Prince 1
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LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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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Submitted on : Monday, June 28, 2010 - 11:04:22 AM
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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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