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dc.contributor.authorMiyabe, K.en
dc.contributor.alternative宮部, 賢志ja
dc.date.accessioned2012-10-19T05:49:59Z-
dc.date.available2012-10-19T05:49:59Z-
dc.date.issued2011-08-19-
dc.identifier.issn1367-0751-
dc.identifier.urihttp://hdl.handle.net/2433/160222-
dc.description.abstractWe discuss the difference between optimality and universality. The sequence of measures of a universal test is well studied. To analyze the sequence of measures of an optimal Martin-Löf test, we introduce uniform Solovay reducibility. Solovay reducibility is a measure of relative randomness between two reals. In contrast uniform Solovay reducibility is a measure of relative randomness between two sequences of reals. Finally we prove that a sequence is uniform Solovay complete iff it is the sequence of measures of an optimal Martin-Löf test.en
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherOxford University Pressen
dc.rights© The Author 2011. Published by Oxford University Press.en
dc.rightsThis is not the published version. Please cite only the published version.en
dc.rights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。ja
dc.subjectMartin-Löf randomnessen
dc.subjectrandomness deficiencyen
dc.subjectsequence of measuresen
dc.subjectuniversal Martin-Löf testen
dc.subjectSolovay reducibilityen
dc.titleThe difference between optimality and universalityen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.ncidAA12105726-
dc.identifier.jtitleLogic Journal of IGPLen
dc.identifier.volume20-
dc.identifier.issue1-
dc.identifier.spage222-
dc.identifier.epage234-
dc.relation.doi10.1093/jigpal/jzr032-
dc.textversionauthor-
dcterms.accessRightsopen access-
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