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dc.contributor.author | Miyabe, Kenshi | en |
dc.contributor.alternative | 宮部, 賢志 | ja |
dc.date.accessioned | 2010-11-24T04:57:55Z | - |
dc.date.available | 2010-11-24T04:57:55Z | - |
dc.date.issued | 2010-07 | - |
dc.identifier.issn | 0029-4527 | - |
dc.identifier.uri | http://hdl.handle.net/2433/131806 | - |
dc.description.abstract | Van Lambalgen’s Theorem plays an important role in algorithmic randomness, especially when studying relative randomness. In this paper we extend van Lambalgen’s Theorem by considering the join of infinitely many reals which are random relative to each other. In addition, we study computability of the reals in the range of Omega operators. It is known that Ωϕ′ is high. We extend this result to that Ωϕ(n) is highn. We also prove that there exists A such that, for each n, the real ΩAM is highn for some universal Turing machine M by using the extended van Lambalgen’s Theorem. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | University of Notre Dame | en |
dc.rights | 2010 © University of Notre Dame | en |
dc.subject | van Lambalgen’s Theorem | en |
dc.subject | martingale | en |
dc.subject | high | en |
dc.subject | Omega operator | en |
dc.title | An Extension of van Lambalgen's Theorem to Infinitely Many Relative 1-Random Reals | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA00315357 | - |
dc.identifier.jtitle | Notre Dame Journal of Formal Logic | en |
dc.identifier.volume | 51 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 337 | - |
dc.identifier.epage | 349 | - |
dc.relation.doi | 10.1215/00294527-2010-020 | - |
dc.textversion | publisher | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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