Reduction - 1 Consider the set of indices DEFINED = cfw f |...

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1. Consider the set of indices DEFINED = { f | 5 x ϕ f (x) }. Use Rice’s Theorem to show that DEFINED is not decidable. Hint: There are two properties that must be demonstrated. 2. Let P = { f | 5 x ϕ f (x) converges in at most x steps }. Why does Rice’s theorem not tell us anything about the undecidability of P? 3. Show that DEFINED is not decidable by reducing K 0 to this set. 4. Is DEFINED re? Support your conclusion.
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