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Please show in steps 1- base case 2-n=k 3-n=k+1 (12 points, 2 per part) Given x and y are strings of length |x|and [y], and
Please show in steps
1- base case
2-n=k
3-n=k+1
(12 points, 2 per part) Given x and y are strings of length |x|and [y], and x is the reverse of x, and x y is the composition of strings x and y, prove by structural induction (on the length of y) that (x y) R = yr . x. You may also assume that if |x| = 0, then e, if x = 6 x = e, the empty string. Formally, x" = X, if x1 = 1 zR.c if x = c z and |C| = 1 (12 points, 2 per part) Given x and y are strings of length |x|and [y], and x is the reverse of x, and x y is the composition of strings x and y, prove by structural induction (on the length of y) that (x y) R = yr . x. You may also assume that if |x| = 0, then e, if x = 6 x = e, the empty string. Formally, x" = X, if x1 = 1 zR.c if x = c z and |C| = 1
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