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Formal Language & Automata TheoryA language accepted by deterministic pushdown automata is closed under which of the following? (i) Complement (ii) Union (iii) Both (i) and (ii) (iv) None of the above20202mFormal Language & Automata TheoryDefine deterministic pushdown automata. Explain with an example.20227mFORMAL LANGUAGE & AUTOMATA THEORYWrite the difference between Pushdown Automata and Finite Automata.20247mFormal Language & Automata TheoryWhich of the following statements is/are False? A. For every non-deterministic Turing machine, there exists an equivalent deterministic Turing machine. B. Turing recognizable languages are closed under union and complementation. C. Turing decidable languages are closed under intersection and complementation. D. Turing recognizable languages are closed under union and intersection. (i) A and D only (ii) A and C only (iii) B only (iv) C only20212m