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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 using pumping lemma for regular languages that the language \{ 0^n / n \text{ is a perfect square} \} is not regular.20227mFORMAL LANGUAGE & AUTOMATA THEORYShow that the language: L = \{ a^{n^2} b^n \mid n \ge 0 \} is not regular.20227mFORMAL LANGUAGE & AUTOMATA THEORYProve that L = \{ a^i b^i \mid i \ge 0 \} is not regular using the pumping lemma.20247m