A Turing machine simulating a Turing machine simulating a...
A Turing machine simulating a Turing machine simulating a...
Possibly the most stupendously useless thing I've ever done. It's a UTM, running on an (infinitely long, lazily initialized) tape, which encodes a description of the UTM + the same tape. The "L0" machine has been running for about 1.5 months, taking about 1B steps/sec. The L1 machine it's simulating has been taking about a dozen steps/sec. The L2 machine it's simulating takes about one step/hour. In ~2070, the L3 machine will take its first step.
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