Absolutely non-computable predicates and functions in analysis. Weihrauch, K., Wu, Y., & Ding, D. Math. Structures Comput. Sci., 19(1):59–71, 2009.
Absolutely non-computable predicates and functions in analysis [link]Paper  doi  bibtex   
@ARTICLE{WWD09,
  author = {Weihrauch, Klaus and Wu, Yongcheng and Ding, Decheng},
  title = {Absolutely non-computable predicates and functions in analysis},
  journal = {Math. Structures Comput. Sci.},
  year = {2009},
  volume = {19},
  pages = {59--71},
  number = {1},
  doi = {10.1017/S096012950800724X},
  fjournal = {Mathematical Structures in Computer Science. A Journal in the Applications
	of Categorical, Algebraic and Geometric Methods in Computer Science},
  issn = {0960-1295},
  keywords = {bib,cca},
  mrclass = {03F60},
  mrnumber = {2482020 (2010d:03112)},
  mrreviewer = {Lumini{\c{t}}a Simona V{\^{\i}}{\c{t}}{\u{a}}},
  owner = {Vasco},
  timestamp = {2013.12.01},
  url = {http://dx.doi.org/10.1017/S096012950800724X}
}

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