Prove, using a reduction argument such as given in Section 17.3.2, that the problem of determining whether an arbitrary program computes a specified function is unsolvable.

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17.3.2 The Halting Problem Is Unsolvable While there might be intellectual appeal to knowing that there exists some function that cannot be computed by a computer program, does this mean that there is any such useful function? After all, does it really matter if no program can compute a "nonsense" function such as shown in Bin 4 of Figure 17.5? Now we will prove