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Dec 19, 2010 at 10:07 comment added Ed Dean The undecidability of the halting problem separates $\Sigma^0_1$ from $\Delta^0_1$. The proof of that fact relatives to any $n>1$.
Dec 19, 2010 at 9:38 comment added nibbles Thanks for the answer! Can you prove that the hierarchy does not collapse?
Dec 19, 2010 at 9:36 vote accept nibbles
Dec 19, 2010 at 8:48 history answered Ed Dean CC BY-SA 2.5