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In order to decide whether a context-free language L is innite, the following lemma is useful: A context-free language L is innite, if and only

In order to decide whether a context-free language L is innite, the following lemma is useful: A context-free language L is innite, if and only if there exists some w L with p |w| < 2p, where p is the pumping length. Prove this lemma.

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