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FORMAL LANGUAGE & AUTOMATA THEORYUse the pumping lemma to prove that the language L = \{a^n b^n : n \ge 1\} is not regular.20257mFORMAL LANGUAGE & AUTOMATA THEORYProve that L = \{ a^i b^i \mid i \ge 0 \} is not regular using the pumping lemma.20247mFormal Language & Automata TheoryUsing Pumping Lemma, prove that the language L = \{0^{n}1^{n} \mid n \ge 0\} is not regular.20257mFORMAL LANGUAGE & AUTOMATA THEORYWhich of the following languages is NOT regular? (i) {a^n b^n | n \ge 0} (ii) {a, b}* (iii) Finite languages (iv) Languages accepted by DFA20252m