Abstract.
This paper proves that the division operation \(\lfloor a/m\rfloor\) is provably total in the system \(S_2^0\) of bounded arithmetic if and only if \(m\) is of the form \(2^n\) for some \(n\).
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Received: May 29, 1996
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Tada, M., Tatsuta, M. The function \(\lfloor a/m\rfloor\) in sharply bounded arithmetic. Arch Math Logic 37, 51–57 (1997). https://doi.org/10.1007/s001530050082
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DOI: https://doi.org/10.1007/s001530050082