Question: = 2. Problem 7. Let o be the following statement. For every computable function f : {0,1}* {0,1}*, there is a computable function g :

= 2. Problem 7. Let o be the following statement. For

= 2. Problem 7. Let o be the following statement. For every computable function f : {0,1}* {0,1}*, there is a computable function g : {0,1}* + {0,1}* such that, for all x E {0,1}*, g(f(x)) = (a) Prove that 0 is false by giving a counterexample. (b) Strengthen the hypothesis of just enough to obtain a statement Q' that is true. (c) Prove your statement O'. = 2. Problem 7. Let o be the following statement. For every computable function f : {0,1}* {0,1}*, there is a computable function g : {0,1}* + {0,1}* such that, for all x E {0,1}*, g(f(x)) = (a) Prove that 0 is false by giving a counterexample. (b) Strengthen the hypothesis of just enough to obtain a statement Q' that is true. (c) Prove your statement O

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