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day20 - RECURSIVE m Click to edit Master subtitle style...

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Click to edit Master subtitle style 10/4/11 RECURSIVE m
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 22 Standard Turing Computation Our notion of standard Turing computability of some n-ary function F assumes that the machine starts with a tape containing the n inputs, x1, … , xn in the form …01x101x20…01xn0 and ends with …01x101x20…01xn01y0 where y = F(x1, … , xn).
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Dec 2, 2007/COT5310 © UCF (Charles E. Hughes) 33 More Helpers To build our simulation we need to construct some useful submachines, in addition to the R , L , R, L, and Ck machines already defined. T -- translate moves a value left one tape square …? 01x0… ° …?1x0 0… Shift -- shift a rightmost value left, destroying value to its left …01x101x20 … ° …01x20 Rotk -- Rotate a k value sequence one slot to the left …0 1x101x20…01xk0… l … 0 1x20…01xk01x10… R1 L0 R R 1 L T R 0 k L k k+1 1 L k L 0 T k L k+1 L 1 T L 0 T 0
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10/4/11 Dec 2, 2007/COT5310 © UCF (Charles E.
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