Question: Closure properties of Turing - recognizable languages. Are Turing - recognizable languages closed under Kleene star? Prove it or provide a counter example. ( 1

Closure properties of Turing-recognizable languages. Are Turing-recognizable languages closed under Kleene star? Prove it or provide a counter example. (10 Marks) Are Turing-recognizable languages closed under complement? Prove it or provide a counter example. (10 Marks) Are Turing-decidable languages closed under complement? Prove it or pro vide a counter example. (10 Marks)

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