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math.LOAug 10, 2014
29
citations (OpenAlex)
authors
  • Klaus Ambos-Spies
  • Bjørn Kjos-Hanssen
  • Steffen Lempp
  • Theodore A. Slaman
institutions
  • Heidelberg University
  • University of California, Berkeley
  • University of Connecticut
  • University of Wisconsin–Madison
  • University of Wisconsin System
arXiv abstractPDF
paper

Comparing DNR and WWKL

arXiv:1408.2281 · doi:10.2178/jsl/1102022212

Abstract

In Reverse Mathematics, the axiom system DNR, asserting the existence of diagonally non-recursive functions, is strictly weaker than WWKL0​ (weak weak König's Lemma).

Cited by in corpus (6)

  • Kolmogorov complexity and the Recursion Theorem
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  • A strong law of computationally weak subsets
  • On the logical strengths of partial solutions to mathematical problems
  • From eventually different functions to pandemic numberings
  • Refining the taming of the Reverse Mathematics zoo
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