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The axiom system \(\mathrm{I}\Sigma_{0}\) manages to simultaneously obey and evade the Herbrandized version of the second incompleteness theorem. (English) Zbl 1262.03122

Mints, G. (ed.) et al., Proceedings of the 13th workshop on logic, language, information and computation (WoLLIC 2006), Stanford, CA, USA, July 18–21, 2006. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 165, 213-226 (2006).
MSC:  03F30 03F40
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