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Strengthening prompt simplicity
2011
Journal of Symbolic Logic (JSL)
We introduce a natural strengthening of prompt simplicity which we call strong promptness, and study its relationship with existing lowness classes. This notion provides a ≤ wtt version of superlow cuppability. We show that every strongly prompt c.e. set is superlow cuppable. Unfortunately, strong promptness is not a Turing degree notion, and so cannot characterize the sets which are superlow cuppable. However, it is a wtt-degree notion, and we show that it characterizes the degrees which
doi:10.2178/jsl/1309952528
fatcat:7gi4c3jgsnctnhr4t7o52oy6fq