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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 THEORYShow that the language: L = \{ a^{n^2} b^n \mid n \ge 0 \} is not regular.20227mFormal Language & Automata TheoryUsing Pumping Lemma, prove that the language L = \{0^{n}1^{n} \mid n \ge 0\} is not regular.20257mFORMAL LANGUAGE & AUTOMATA THEORYProve the pumping lemma for regular languages.20247m