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Editorial Team
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Editorial Team
Asked: May 27, 20262026-05-27T06:09:01+00:00 2026-05-27T06:09:01+00:00

i have googled on pumping lemma for context sensitive, and it seems to only

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i have googled on pumping lemma for context sensitive, and it seems to only produce results for context-free language.

Pumping lemma only allows to prove a language is context free only? and not context sensitive?

Any idea how?

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  1. Editorial Team
    Editorial Team
    2026-05-27T06:09:02+00:00Added an answer on May 27, 2026 at 6:09 am

    There are two Pumping Lemmas. Pumping Lemma for regular languages allows to prove that a language is not regular. Pumping Lemma for context-free languages allows to prove that a language is not context-free and hence not regular.

    There are no other Pumping Lemmas. To prove that language is context sensitive you could first using Pumping Lemma prove that it is not context-free. Then you must supply a context sensitive grammar that actually generates given language.

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