An introduction to Kolmogorov complexity and its applications
An introduction to Kolmogorov complexity and its applications
Reasoning about computational resource allocation
Crossroads - Special issue on artificial intelligence
Natural halting probabilities, partial randomness, and zeta functions
Information and Computation
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
Towards a Definition of an Algorithm
Journal of Logic and Computation
Mathematical Structures in Computer Science
Hi-index | 0.00 |
This is the second instalment in the project initiated in Manin (2012). In the first Part, we argued that both the philosophy and technique of perturbative renormalisation in quantum field theory could be meaningfully transplanted to the theory of computation, and sketched several contexts supporting this view. In this second part, we address some of the issues raised in Manin (2012) and develop them further in three contexts: a categorification of the algorithmic computations; time cut-off and anytime algorithms; and, finally, a Hopf algebra renormalisation of the Halting Problem.