Quantifier Scope in Categorical Compositional Distributional Semantics
Mehrnoosh Sadrzadeh (Queen Mary University of London)
TL;DR
This paper extends categorical compositional distributional semantics to model quantifier scope ambiguity and branching quantifiers, providing a formal framework for representing complex quantifier interactions in natural language.
Contribution
It introduces a method to represent quantifier scope ambiguity and branching quantifiers within a categorical semantics framework, building on previous formalizations.
Findings
Quantifier scope ambiguity can be effectively modeled in categorical semantics.
The framework generalizes to include branching quantifiers.
Provides a formal basis for handling complex quantifier interactions.
Abstract
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.
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