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Probabilistic Type Theory and Natural Language Semantics

Journal article
Authors Robin Cooper
Simon Dobnik
Shalom Lappin
Staffan Larsson
Published in Linguistic Issues in Language Technology
Volume 10
Issue 1
Pages 1-43
ISSN 1945-3590
Publication year 2015
Published at Department of Philosophy, Linguistics and Theory of Science
Pages 1-43
Language en
Links csli-lilt.stanford.edu/ojs/index.ph...
Keywords computational semantics, type theory, natural language semantics
Subject categories Computer and Information Science

Abstract

Type theory has played an important role in specifying the formal con- nection between syntactic structure and semantic interpretation within the history of formal semantics. In recent years rich type theories de- veloped for the semantics of programming languages have become in- fluential in the semantics of natural language. The use of probabilistic reasoning to model human learning and cognition has become an in- creasingly important part of cognitive science. In this paper we offer a probabilistic formulation of a rich type theory, Type Theory with Records (TTR), and we illustrate how this framework can be used to approach the problem of semantic learning. Our probabilistic version of TTR is intended to provide an interface between the cognitive process of classifying situations according to the types that they instantiate, and the compositional semantics of natural language

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