Vector space semantics: A model-theoretic analysis of locative prepositions [Book Review]

Abstract
This paper introduces a compositional semantics of locativeprepositional phrases which is based on a vector space ontology.Model-theoretic properties of prepositions like monotonicity andconservativity are defined in this system in a straightforward way.These notions are shown to describe central inferences with spatialexpressions and to account for the grammaticality of prepositionmodification. Model-theoretic constraints on the set of possibleprepositions in natural language are specified, similar to the semanticuniversals of Generalized Quantifier Theory.
Keywords generalized quantifier  locative  monotonicity  natural language  preposition  semantics  vector
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