For every two languages L1, L2 and the reverse of a language L be defined as L R w w x R for some x L Then, prove that (L1L2) R L R 2 L R 1 (15 pt) For every two languages L1, L2 C I and the reverse of a language L be defined as LR WEI W 2R for some x L Then, prove that (L1L2) R LLR

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Question: For every two languages L1, L2 and the reverse of a language L be defined as L R = {w | w = x R

For every two languages L1, L2 and the reverse of a language L be defined as L R = {w | w = x R for some x L}. Then, prove that (L1L2) R = L R 2 L R 1 .

For every two languages L1, L2 and the reverse of a language

= (15 pt) For every two languages L1, L2 C I* and the reverse of a language L be defined as LR {WEI* W = 2R for some x L}. Then, prove that (L1L2) R = LLR

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