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Closure properties of decidable languages [10 points Prove that the class of decidable languages is closed under Kleene star. Hint: Let Mi decide language A.

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Closure properties of decidable languages [10 points Prove that the class of decidable languages is closed under Kleene star. Hint: Let Mi decide language A. Construct a new TM M to decide A* Recall that for string w to be in A*, there must be a division of w into k pieces w-w1w2 wk for some k > 0 such that each wi ? A. TM M uill have to try all possible divisions for all values of k up to some number. Ifl = n, think about which values of k the TM M needs to consider. This problem is tricky

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