Pseudo-jump inversion and SJT-hard sets

Details Pseudo-jump inversion and SJT-hard sets Pseudo-jump inversion and SJT-hard sets

2011-09-30

arxiv.org/abs/1109.6752v1

Mathematics

Logic

34 pages

Scientific paper

There are noncomputable c.e.\ sets, computable from every SJT-hard c.e.\ set.
This yields a natural pseudo-jump operator, increasing on all sets, which
cannot be inverted back to a minimal pair or even avoiding an upper cone.

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