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Logic and Algebraic Structures in Quantum Computing by Valentina Harizanov, Ali Eskandarian, Jennifer Chubb

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REASONING ABOUT MEANING IN NATURAL LANGUAGE WITH COMPACT CLOSED CATEGORIES AND FROBENIUS ALGEBRAS

DIMITRI KARTSAKLIS, MEHRNOOSH SADRZADEH, STEPHEN PULMAN, AND BOB COECKE

Abstract. Compact closed categories have found applications in modeling quantum information protocols by Abramsky-Coecke. They also provide semantics for Lambek’s pregroup algebras, applied to formalizing the grammatical structure of natural language, and are implicit in a distributional model of word meaning based on vector spaces. Specifically, in previous work Coecke-Clark-Sadrzadeh used the product category of pregroups with vector spaces and provided a distributional model of meaning for sentences. We recast this theory in terms of strongly monoidal functors and advance ...

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