Prove that the languages are not regular

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Question: Prove that the subsequent languages are not regular using the pumping lemma. Use 'N' as the pumping lemma constant, to differentiate from the lowercase n used in parts a and b.

Part 1: {0n1m | n<=m}.

Part 2: {0n | n is a power of 2}.

Part 3: The set of strings of 0's and 1's that are of the form wwR, that is, some string repeated followed by its reverse.

I'm not sure how to solve the question. Can anyone help me?

 

Reference no: EM13701619

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