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2. . > (a) Construct context-free grammars that generate the following languages. (i) The language of all palindromes of odd length over the alphabet {a,b}.
2. . > (a) Construct context-free grammars that generate the following languages. (i) The language of all palindromes of odd length over the alphabet {a,b}. [3] (ii) {ak w W E {a,b}*, |= k, k >0}. [3] (iii) {ayn+kak e {a,b}*In > 0, k>0}. [4] (b) Using the pumping lemma for contex-free languages, prove that the following languages are not context-free: (i) {ak bakbakb {a,b}*| k >0}, [5] (ii) {wabw | W {a,b} } [5]
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