Automatic word sense discrimination
Computational Linguistics - Special issue on word sense disambiguation
The Geometry of Information Retrieval
The Geometry of Information Retrieval
A Categorical Semantics of Quantum Protocols
LICS '04 Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science
Geometry and Meaning
Toward discourse representation via pregroup grammars
Journal of Logic, Language and Information
Mathematical Structures in Computer Science
Category theoretical semantics for pregroup grammars
LACL'05 Proceedings of the 5th international conference on Logical Aspects of Computational Linguistics
A context-theoretic framework for compositionality in distributional semantics
Computational Linguistics
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We use Bell states to provide compositional distributed meaning for negative sentences of English. The lexical meaning of each word of the sentence is a context vector obtained within the distributed model of meaning. The meaning of the sentence lives within the tensor space of the vector spaces of the words. Mathematically speaking, the meaning of a sentence is the image of a quantizing functor from the compact closed category that models the grammatical structure of the sentence (using Lambek Pregroups) to the compact closed category of finite dimensional vector spaces where the lexical meaning of the words are modeled. The meaning is computed via composing eta and epsilon maps that create Bell states and do substitution and as such allow the information to flow among the words within the sentence.