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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?

The proof contains two main statements: prove that $RE$ (the set of all semi-decidable languages) is closed under $\le_{m}$ reduction (many-one reduction). It means that if we have a reduction $L_{1} …
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