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Struggling with these concepts, please explain thoroughly. Will Rate immediately (15 pt) Let u, w 2* be two strings over the alphabet 2. Prove by

image text in transcribedStruggling with these concepts, please explain thoroughly. Will Rate immediately

(15 pt) Let u, w 2* be two strings over the alphabet 2. Prove by induction that (uw) R = WRUR. (Note: the reverse of a string x is denoted as xR.) (20 pt) Prove or disprove the following statements: (a) (@U*) n ( - (*)) = . (b) For every language L C 2*, (L+)* = L*

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