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Questions related to computability theory, a.k.a. recursion theory

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I was wondering how to prove that $C$ (which is a language) is Turing-recognizable iff a decidable language $D$ exists such that $C = \{x \mid \exists y \;(\langle x, y\rangle \in D)\}$. I do not kno …
asked Apr 8 '15 by Optimistic