Dyson–Schwinger equations in the theory of computation
Colleen Delaney, Matilde Marcolli · Contemporary mathematics - American Mathematical Society · 2015
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.