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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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