Is there any evidence or proof that a Turing machine that is a Busy Beaver champion cannot have a state where both transitions are identical? For example, suppose state C has transitions 1RA for input 0 and 1RA for input 1. Intuitively it seems like this can't be a good use of a state and the machine will be suboptimal (if finite), but I've never seen anyone address the idea of immediately discarding such machines.
2026-03-29 13:22:59.1774790579
Can a Busy Beaver have duplicate transitions
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