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A note on sharply bounded arithmetic

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Summary

We prove some independence results for the bounded arithmetic theoryR 02 , and we define a class of functions that is shown to be an upper bound for the class of functions definable by a certain restricted class of ∑ b1 in extensions ofR 02 .

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Authors and Affiliations

  1. IMMD1, Universität Erlangen-Nürnberg, Martensstrasse 3, D-91058, Erlangen, Germany

    Jan Johannsen

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  1. Jan Johannsen
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Mathematics subject classification: 03F30

This article was processed by the author using the LATEX style filepljour1 from Spinger-Verlag.

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Johannsen, J. A note on sharply bounded arithmetic. Arch Math Logic 33, 159–165 (1994). https://doi.org/10.1007/BF01352935

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  • DOI: https://doi.org/10.1007/BF01352935

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