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Title: Schnorr Triviality and Its Equivalent Notions
Authors: Miyabe, Kenshi
Author's alias: 宮部, 賢志
Keywords: Algorithmic randomness
Schnorr randomness
Schnorr triviality
Uniform relativization
Issue Date: 29-Sep-2013
Publisher: Springer US
Journal title: Theory of Computing Systems
Volume: 56
Issue: 3
Start page: 465
End page: 486
Abstract: We give some characterizations of Schnorr triviality. In concrete terms, we introduce a reducibility related to decidable prefix-free machines and show the equivalence with Schnorr reducibility. We also give a uniform-Schnorr-randomness version of the equivalence of LR-reducibility and LK-reducibility. Finally we prove a base-type characterization of Schnorr triviality.
Rights: The final publication is available at Springer via http://dx.doi.org/10.1007/s00224-013-9506-8
この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
This is not the published version. Please cite only the published version.
URI: http://hdl.handle.net/2433/198571
DOI(Published Version): 10.1007/s00224-013-9506-8
Appears in Collections:Journal Articles

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