THE JUMP OF A Σn-CUT
نویسندگان
چکیده
Let n 1. We study the proof-theoretic strength of jump classes of the Turing degrees from the point of view of fragments of Peano arithmetic. By investigating the jump of a Σn definable cut in a model of Δn-induction, we show that over the base theory PA− +Δn-induction, the existence of a non-trivial lown Turing degree is equivalent to Σn-induction.
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تاریخ انتشار 2004