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Exercise 2 . 2 . 8 Fix . Define the reversal of a string w , w R by induction on | w | as

Exercise 2.2.8 Fix . Define the reversal of a string w,wR by induction
on |w| as follows:
R=.
If w=a for ain, then wR=a(wR).
Prove the following.
If w=uv then wR=vRwR.
Prove that for all j1, that (wR)j=(wj)R.
If L=L() is regular, then so is L(R).
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