Quantum Physics, Topology, Formal Languages, Computation: A Categorical View as Homage to David Hilbert

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Perspectives on Science 22 (1):98-114 (2014)
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Abstract

. The deep structural properties of a quantum information theoretic approach to formal languages and universal computation, as well as those of the topology problem of defining the presentation of the Mapping Class Group of a smooth, compact manifold are shown to be grounded in the common categorical features of the two problems.

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10.1162/posc_a_00120

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References found in this work

General Theory of Natural Equivalences.Saunders MacLane & Samuel Eilenberg - 1945 - Transactions of the American Mathematical Society:231-294.
The Hilbert Challenge.Jeremy Gray - 2000 - Oxford University Press USA.
A bialgebraic approach to automata and formal language theory.James Worthington - 2012 - Annals of Pure and Applied Logic 163 (7):745-762.

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