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Formal 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 only20212mFORMAL 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 above20232mFormal 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 THEORYWhich one of the following statements is true? (i) The intersection of two CFLs is context-free (ii) Every CFL can be accepted by a DPDA (iii) The union of two CFLs is context-free (iv) The complement of a CFL is context-free20232m