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In the fixed - point version of the recursion theorem ( Theorem 6 . 8 ) , let the transformation t be a function that

In the fixed-point version of the recursion theorem (Theorem 6.8), let the transformation t be a function that interchanges the states qaccept and qreject in Turing machine descriptions. A fixed point for t is a TM that always loops. It never reaches qaccept or qreject states, so interchanging them has no effect on the machine's behavior.
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