Evolution of mutating software

We propose using random walks in software space as abstract formal models of biological evolution. The goal is to shed light on biological creativity using toy models of evolution that are simple enough to prove theorems about them. We consider two models: a single mutating piece of software, and a population of mutating software. The fitness function is taken from a well known problem in computability theory that requires an unlimited amount of creativity, the Busy Beaver problem. (Talk given Friday October 10, 2008 at the IBM Watson Research Center in Yorktown Heights, NY. The author wishes to thank his colleagues Charles Bennett and David DiVincenzo for their helpful comments.).
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