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Wolfram|Alpha's Turing machine enumeration?

Posted 1 year ago
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Hello, everyone. I've been trying to figure it out how does Turing Machines are enumerated in Wolphram Alpha. I've tested the first 4096 Turing machines, which are all 2-symbols, 2-states machines. But after that, I donĀ“t understand how the enumeration is done. I also don't know why all of the 4096 2-symbols, 2-states machines have all their transitions defined [For every state q, and symbol a, d(q, a) exists]. What about the machines whit non-defined transitions? Are those machines out of the enumeration?

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