Question: For a given decision problem A , a student comes up with a program P such that the program P terminates on all inputs, but

For a given decision problem A, a student comes up with a program P such that the program P terminates on all inputs, but sometimes gives incorrect answers (that is, the answer of P on some inputs w does not correctly correspond to whether w belongs to A). What can we conclude about the problem A in terms of its decidability?

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