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A Probabilistic Rich Type Theory for Semantic Interpretation

Conference paper
Authors Robin Cooper
Simon Dobnik
Shalom Lappin
Staffan Larsson
Published in Proceedings of the Workshop on Type Theory and Natural Language Semantics (TTNLS),14th Conference of the European Chapter of the Association for Computational Linguistics, Gothenburg, Sweden 2014. ed. by Cooper, Robin, Simon Dobnik, Shalom Lappin and Staffan Larsson
Pages 72--79
ISBN 978-1-937284-74-9
Publication year 2014
Published at Department of Philosophy, Linguistics and Theory of Science
Pages 72--79
Language en
Links www.aclweb.org/anthology/W/W14/W14-...
Keywords semantics, type theory, probability
Subject categories Language Technology (Computational Linguistics), Linguistics

Abstract

We propose a probabilistic type theory in which a situation s is judged to be of a type T with probability p. In addition to basic and functional types it includes, inter alia, record types and a notion of typing based on them. The type system is intensional in that types of situations are not reduced to sets of situations. We specify the fragment of a compositional semantics in which truth conditions are replaced by probability conditions. The type system is the interface between classifying situations in perception and computing the semantic interpretations of phrases in natural language.

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