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Busy Beaver

   Also found in: Wikipedia 0.10 sec.
(theory)Busy Beaver - (BB) One of a series of sets of Turing Machine programs. The BBs in the Nth set are programs of N states that produce a larger finite number of ones on an initially blank tape than any other program of N states. There is no program that, given input N, can deduce the productivity (number of ones output) of the BB of size N.

The productivity of the BB of size 1 is 1. Some work has been done to figure out productivities of bigger Busy Beavers - the 7th is in the thousands.

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It (the battle) just goes on and on," commented Pat Wojokowski, owner of Sudbury-based Busy Beaver Boys.
Of the many possible Turing machines, a few researchers have been looking for one dubbed the "five-state busy beaver.
It is now known that a three-state busy beaver writes six ones before it halts; a four-state busy beaver writes 13 ones.
 
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