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Questions about which problems are semi-decidable, also known as computably enumerable, Turing recognizable or recursively enumerable.

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Is a language semi-decidable iff it is reducible to ATM?

Thank you. I see how it makes sense going in the opposite direction but i need help proving that this is true. Below is the definition of ATM. ATM={<M,w>| a TM, M accepts w} The question from my under …
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