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A common lemma to use is not context-free, use proof is not context-free is the Pumping Lemma for Context-Free Languages. If a language is not pumpable, it is not necessarily a context-free language.
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Pumping Lemma (For Context Free Languages) - Examples (Part 1)Pumping Lemma for CFL states that for any Context-Free Language L, it is possible to find two substrings that can be 'pumped' any number of. Assume that L is context free. � The pumping length is n. � All strings longer than n can be pumped |w|>=n. � Now find a string 'w' in L such that. To prove L is not context-free, we construct a language L from L using only operations under which context-free languages are known to be closed. If L is known.
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