Randomness in the Higher Setting
نویسندگان
چکیده
We study the strengths of various notions of higher randomness: (i) strong Π1-ML-randomness is separated from Π 1 1-ML-randomness; (ii) the hyperdegrees of Π1-random reals are closed downwards (except for the trivial degree); (iii) the reals z in NCRΠ11 are precisely those satisfying z ∈ Lωz 1 ; and (iv) lowness for ∆1-randomness is strictly weaker than that for Π 1 1-randomness.
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ورودعنوان ژورنال:
- J. Symb. Log.
دوره 80 شماره
صفحات -
تاریخ انتشار 2015