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Dyson-Schwinger equations in the theory of computation

Following Manin's approach to renormalization in the theory of computation, we investigate Dyson-Schwinger equations on Hopf algebras, operads and properads of flow charts, as a way of encoding self-similarity structures in the theory of algorithms computing primitive and partial recursive functions and in the halting problem.

preprint2015arXivOpen access
Colleen DelaneyMatilde Marcolli
math-phmath.MP
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Colleen DelaneyMatilde Marcolli

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