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  • 标题:The degree structure of Weihrauch-reducibility
  • 本地全文:下载
  • 作者:Kojiro Higuchi ; Arno Pauly
  • 期刊名称:Logical Methods in Computer Science
  • 印刷版ISSN:1860-5974
  • 电子版ISSN:1860-5974
  • 出版年度:2013
  • 卷号:9
  • 期号:2
  • 页码:1
  • DOI:10.2168/LMCS-9(2:2)2013
  • 出版社:Technical University of Braunschweig
  • 摘要:We answer a question by Vasco Brattka and Guido Gherardi by proving that the Weihrauch-lattice is not a Brouwer algebra. The computable Weihrauch-lattice is also not a Heyting algebra, but the continuous Weihrauch-lattice is. We further investigate the existence of infinite infima and suprema, as well as embeddings of the Medvedev-degrees into the Weihrauch-degrees.
  • 其他关键词:Weihrauch degrees, Medvedev degrees, Heyting algebra, superintuitionistic logic, computable analysis.
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