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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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.