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  • 标题:Las Vegas Computability and Algorithmic Randomness
  • 本地全文:下载
  • 作者:Vasco Brattka ; Guido Gherardi ; Rupert H{\"o}lzl
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2015
  • 卷号:30
  • 页码:130-142
  • DOI:10.4230/LIPIcs.STACS.2015.130
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:In this article we try to formalize the question "What can be computed with access to randomness?" We propose the very fine-grained Weihrauch lattice as an approach to differentiate between different types of computation with access to randomness. In particular, we show that a natural concept of Las Vegas computability on infinite objects is more powerful than mere oracle access to a Martin-Löf random object. As a concrete problem that is Las Vegas computable but not computable with access to a Martin-Löf random oracle we study the problem of finding Nash equilibria.
  • 关键词:Weihrauch degrees; weak weak K{\"o
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