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  • 标题:Complete Problems for Multi-Pseudodeterministic Computations
  • 本地全文:下载
  • 作者:Peter Dixon ; A. Pavan ; N. V. Vinodchandran
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2021
  • 卷号:185
  • 页码:66:1-66:16
  • DOI:10.4230/LIPIcs.ITCS.2021.66
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We exhibit several computational problems that are complete for multi-pseudodeterministic computations in the following sense: (1) these problems admit 2-pseudodeterministic algorithms (2) if there exists a pseudodeterministic algorithm for any of these problems, then any multi-valued function that admits a k-pseudodeterministic algorithm for a constant k, also admits a pseudodeterministic algorithm. We also show that these computational problems are complete for Search-BPP: a pseudodeterministic algorithm for any of these problems implies a pseudodeterministic algorithm for all problems in Search-BPP.
  • 关键词:Pseudodeterminism; Completeness; Collision Probability; Circuit Acceptance; Entropy Approximation
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