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Jul 21 at 11:51 comment added C7X The halting status of all $5$-state Turing machines is now known, after having been resolved by the bbchallenge project earlier this month.
Jun 29, 2010 at 19:07 history edited Richard Stanley CC BY-SA 2.5
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Jun 29, 2010 at 19:05 comment added Daniel Litt Ah, fair enough. That answers original question to my satisfaction, though if someone wants to address the "descriptive language" question and the reference request, that would also be great.
Jun 29, 2010 at 19:05 vote accept Daniel Litt
Jun 29, 2010 at 19:04 comment added Antonio E. Porreca Daniel: yes, since S(n) is known for n = 4.
Jun 29, 2010 at 18:57 comment added Daniel Litt This does seem like a good contender. Is the halting status of every 4-state, 2-symbol machine known?
Jun 29, 2010 at 18:52 history answered Richard Stanley CC BY-SA 2.5