Turing Machine Equivalence Is Not Recognizable 🧠

Here we use mapping reductions to prove that EQ_TM is not recognizable nor is its complement. We also show that A mapping reduces to B if and only if A-complement mapping reduces to B-complement, which is useful.

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I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.