Quantifier Scope in Categorical Compositional Distributional Semantics
This is an incremental advancement in formal semantics for natural language processing, primarily relevant to linguists and computational linguists.
The paper addresses the representation of quantifier scope ambiguity in categorical compositional distributional semantics, extending previous work to include branching quantifiers.
In previous work with J. Hedges, we formalised a generalised quantifiers theory of natural language in categorical compositional distributional semantics with the help of bialgebras. In this paper, we show how quantifier scope ambiguity can be represented in that setting and how this representation can be generalised to branching quantifiers.