Concept Functionals.

[−1, 1]-valued functionals allow the semantic modelling of concepts as fuzzy and nonclassical predicates over a rich collection of domains, whilst maintaining compatibility with logical operations such as negation. We integrate this semantics with the Categorical Compositional Meaning programme, allowing us to compose and compute with concepts: in particular, we demonstrate how we may model spatial inference from vague and negated information obtained from fragments of natural language.

Authors

• Vincent Wang

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