Write down the Pumping Lemma for regular sets. How is it used to prov…

Previous year question for Theory of Computation.

Question

Write down the Pumping Lemma for regular sets. How is it used to prove that a language is not regular ? Using Pumping Lemma prove that $L = \{a^w \mid w = 2^n \text{ and } n \ge 0\}$ is not Regular Language.

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