Lowness and Π 02
نویسنده
چکیده
We prove that there exists a noncomputable c.e. real which is low for weak 2-randomness, a definition of randomness due to Kurtz, and that all reals which are low for weak 2-randomness are low for Martin-Löf randomness.
منابع مشابه
Higher Kurtz randomness
A real x is ∆1-Kurtz random (Π 1 1-Kurtz random) if it is in no closed null ∆1 set (Π 1 1 set). We show that there is a cone of Π 1 1-Kurtz random hyperdegrees. We characterize lowness for ∆1-Kurtz randomness as being ∆ 1 1-dominated and ∆ 1 1semi-traceable.
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متن کاملLowness for Weak Genericity and Randomness
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تاریخ انتشار 2006