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文章基本信息

  • 标题:Sequential Computability of a Function. Effective Fine Space and Limiting Recursion
  • 作者:Mariko Yasugi ; Yoshiki Tsujii ; Takakazu Mori
  • 期刊名称:Journal of Universal Computer Science
  • 印刷版ISSN:0948-6968
  • 出版年度:2005
  • 卷号:11
  • 期号:12
  • 页码:2179-2191
  • 出版社:Graz University of Technology and Know-Center
  • 摘要:We consider real sequences in I = [0, 1) and real functions on I. It is first shown that, as for real sequences from I, R-computability (computability with respect to the Euclidean topology) implies “ weak Fine-computability.” Using this result, we show that “ Finesequential computability” and “ -sequential computability” are equivalent for effectively locally Fine-continuous functions as well as for Fine-continuous functions.
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