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On sharply bounded length induction

  • Jan Johannsen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1092)

Abstract

We construct models of the theory L 2 0 : = BASIC + Σ 0 b -LIND: one where the predecessor function is not total and one not satisfying Σ 0 2 -PIND, showing that L 2 0 is strictly weaker that S 2 0 . The construction also shows that S 2 0 is not ∀ 0 b -axiomatizable.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Jan Johannsen
    • 1
  1. 1.Universität Erlangen-NürnbergGermany

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