Thursday, February 21, 2013

1302.5040 (Colleen Delaney et al.)

Dyson-Schwinger equations in the theory of computation    [PDF]

Colleen Delaney, Matilde Marcolli
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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