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arxiv: 1302.5040 · v2 · pith:WBMUR444new · submitted 2013-02-20 · 🧮 math-ph · math.MP

Dyson-Schwinger equations in the theory of computation

classification 🧮 math-ph math.MP
keywords theorycomputationdyson-schwingerequationsalgebrasalgorithmsapproachcharts
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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.

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