Algebras over a field and semantics for context based reasoning
Computation and Language
2011-11-08 v1 Logic in Computer Science
Abstract
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.
Cite
@article{arxiv.1111.1673,
title = {Algebras over a field and semantics for context based reasoning},
author = {Daoud Clarke},
journal= {arXiv preprint arXiv:1111.1673},
year = {2011}
}
Comments
Draft chapter for a proposed Oxford University Press volume "Compositional methods in Physics and Linguistics"