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Find context-free grammars for the following languages (with n 0, m 0). (a) L = { a n b m : n m +3}. (b)

Find context-free grammars for the following languages (with n 0, m 0).

(a) L = {anbm : n m +3}.

(b) L = {anbm : n = m 1}.

(c) L = {anbm : n 2m}.

(d) L = {anbm : 2n m 3n}.

(e) L = {w {a, b} : na (w) nb (w)}.

(f) L = {w {a, b} : na (v) nb (v), where v is any prefix of w}.

(g) L = {w {a, b} : na (w) = 2nb (w)+1}.

(h) L = {w {a, b} : na (w) = nb (w)+2}.

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