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Comparing DNR and WWKL

  • Klaus Ambos-Spies (a1), Bjørn Kjos-Hanssen (a2), Steffen Lempp (a3) and Theodore A. Slaman (a4)

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).

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[2] Douglas K. Brown , Mariagnese Giusto , and Stephen G. Simpson , Vitali's theorem and WWKL, Archive for Mathematical Logic, vol. 41 (2002), no. 2, pp. 191–206.

[9] Stephen G. Simpson , Subsystems of second order arithmetic, Perspectives in Mathematical Logic, Springer-Verlag, Berlin, 1999.

[10] Xiaokang Yu and Stephen G. Simpson , Measure theory and weak Konig's lemma, Archive for Mathematical Logic, vol. 30 (1990), no. 3, pp. 171–180.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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