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Sep 27, 2017 at 6:09 comment added Bjørn Kjos-Hanssen Actually it's $\Pi^0_4$ because the $\exists h$ turns out, after the fact, to be equivalent to $\forall h$, if $h$ is a total computable function that diverges to $\infty$ as $n\to\infty$...
Sep 27, 2017 at 4:37 comment added Dmytro Taranovsky Do you happen to know whether the number of quantifiers is irreducible? For example, is the set of infinitely often computably traceable $A ≤_T 0'$ $Σ^0_5$-complete (under reasonable coding)?
Sep 24, 2017 at 19:25 history answered Bjørn Kjos-Hanssen CC BY-SA 3.0