Algorithmic Randomness for Infinite Time Register Machines

Merlin Carl · arXiv (Cornell University) · 2014

A concept of randomness for infinite time register machines (ITRMs), resembling Martin-Löf-randomness, is defined and studied. In particular, we show that for this notion of randomness, computability from mutually random reals implies computability and that an analogue of van Lambalgen's theorem holds.

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