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let G be the context-free grammar: G: S asbs | bsas | E Write #(x) = the number of a symbols in the string x,
let G be the context-free grammar: G: S asbs | bsas | E Write #(x) = the number of a symbols in the string x, and that L(G) = the language L = { we {a, b} : #a(w) = #b(w)}. assume the Lemma to prove by induction that L S L(G) Lemma Given axe L, it can be written: ax = aybz where #acy) = #b(y) and #a(z) = #b(z)
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