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Feb 12, 2021 at 23:41 vote accept Anguepa
Feb 12, 2021 at 23:41 comment added Anguepa I think I got it, thank you!
Feb 12, 2021 at 23:09 comment added Steven $T_M$ is just a Turing machine that behaves exactly like $M$ until $M$ returns, and then does some more things (i.e., it erases the tape and writes a single "0"). A description of $T_M$ can be derived from a description for $M$. Alternatively, a $T_M$ can "execute" (simulate) $M$ directly from its description. See Universal Turing Machine for the details.
Feb 12, 2021 at 23:02 comment added Anguepa I'm afraid I'm a mathematician that knows very little about computability. What exactly does it mean that it "simulates" M?
Feb 12, 2021 at 22:28 history answered Steven CC BY-SA 4.0