Lowness for integer-valued randomness
نویسندگان
چکیده
منابع مشابه
Lowness for Demuth Randomness
We show that every real low for Demuth randomness is of hyperimmune-free degree.
متن کاملLowness for Kurtz randomness
We prove that degrees that are low for Kurtz randomness cannot be diagonally non-recursive. Together with the work of Stephan and Yu [16], this proves that they coincide with the hyperimmune-free non-DNR degrees, which are also exactly the degrees that are low for weak 1-genericity. We also consider Low(M, Kurtz), the class of degrees a such that every element of M is a-Kurtz random. These are ...
متن کاملLowness for uniform Kurtz randomness
We propose studying uniform Kurtz randomness, which is the uniform relativization of Kurtz randomness. One advantage of this notion is that lowness for uniform Kurtz randomness has many characterizations, such as those via complexity, martingales, Kurtz tt-traceability, and Kurtz dimensional measure.
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We show the existence of noncomputable oracles which are low for Demuth randomness, answering a question in [14] (also Problem 5.5.19 in [33]). We fully characterize lowness for Demuth randomness using an appropriate notion of traceability. Central to this characterization is a partial relativization of Demuth randomness, which may be more natural than the fully relativized version. We also sho...
متن کاملComputational Randomness and Lowness
We prove that there are uncountably many sets that are low for the class of Schnorr random reals. We give a purely recursion theoretic characterization of these sets and show that they all have Turing degree incomparable to 0 0. This contrasts with a result of Ku cera and Terwijn 5] on sets that are low for the class of Martin-LL of random reals. The Cantor space 2 ! is the set of innnite binar...
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ژورنال
عنوان ژورنال: Computability
سال: 2016
ISSN: 2211-3576,2211-3568
DOI: 10.3233/com-150045