4 ms·
> Down here at BB(6) you can feel fairly sure the machine doesn't express anything inherently problematic because it's just too simple. One of the shocking res
by nickdrozd 4y ago
> Down here at BB(6) you can feel fairly sure the machine doesn't express anything inherently problematic because it's just too simple.
One of the shocking results of Busy Beaver research is that this is actually false. Even with as few as four states there are machines that are complicated and difficult to understand. Turing machine "states" are really GOTO targets, and with six states it's possible to create control flow that is beyond incomprehensible.
I wrote up some rambly notes about this: https://nickdrozd.github.io/2021/09/25/spaghetti-code-conjecture-false.html https://nickdrozd.github.io/2021/09/25/spaghetti-code-conjec...
- nullc 4y agoPerhaps it means that there is some kind of new and useful (or, interesting at least) generic control flow primitive waiting to be discovered there-- and with it the control flow is again 'simple'. :)
- tialaramex 4y agoWow. The BBB(4) example was impressive in particular. I stand corrected.