An algebraic equation for the halting probability
A half-century survey on The Universal Turing Machine
Genetic programming: an introduction: on the automatic evolution of computer programs and its applications
Foundations of genetic programming
Foundations of genetic programming
A Mathematical Theory of Communication
A Mathematical Theory of Communication
The halting probability in von neumann architectures
EuroGP'06 Proceedings of the 9th European conference on Genetic Programming
Scaling of program functionality
Genetic Programming and Evolvable Machines
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Conventional genetic programming research excludes memory and iteration. We have begun an extensive analysis of the space through which GP or other unconventional AI approaches search and extend it to consider explicit program stop instructions (T8) and any time models (T7). We report halting probability, run time and functionality (including entropy of binary functions) of both halting and anytime programs. Turing complete program fitness landscapes, even with halt, scale poorly.