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The pumping lemma is often used to prove that a language is:(a) Context free(b) Not context free(c) Regular(d) None of the mentionedThis question was posed to me in homework.I want to ask this question from Pumping Lemma for Context Free Language in section Properties of Context Free Languages of Automata Theory

Answer»

Right CHOICE is (b) Not context free

For EXPLANATION I would say: The pumping LEMMA is often used to prove that a given language L is non-context-free, by showing that ARBITRARILY long STRINGS s are in L that cannot be “pumped” without producing strings outside L.



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