Algebras over a field and semantics for context based reasoning

Details Algebras over a field and semantics for context based reasoning Algebras over a field and semantics for context based reasoning

2011-11-07

arxiv.org/abs/1111.1673v1

Computer Science

Computation and Language

Draft chapter for a proposed Oxford University Press volume "Compositional methods in Physics and Linguistics"

Scientific paper

This paper introduces context algebras and demonstrates their application to combining logical and vector-based representations of meaning. Other approaches to this problem attempt to reproduce aspects of logical semantics within new frameworks. The approach we present here is different: We show how logical semantics can be embedded within a vector space framework, and use this to combine distributional semantics, in which the meanings of words are represented as vectors, with logical semantics, in which the meaning of a sentence is represented as a logical form.

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