A low-level treatment of quantifiers in categorical compositional distributional semantics

ABSTRACT. We show how one can formalise quantifiers in the categorical compositional distributional model of meaning. Our model is based on the generalised quantifier theory of Barwise and Cooper. We develop an abstract compact closed semantics and instantiate it in vector spaces and in relations. The former is an example for the distributional corpus-based models of language and the latter for the truth-theoretic ones.