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arXiv · 1811.09958

Grzegorczyk sequence

Toshiyasu Arai
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Abstract

Natural numbers are represented by Grzegorczyk functions. The representation is implicit in the technique of H. Friedman. An iterated base-shift in the representation with subtracting 1 yields a sequence, Grzegorczyk sequence. It is shown that the termination of the sequence is independent from the first order arithmetic PA. We follow M. Rathjen in the proof of the independence.

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Toshiyasu Arai. 2018-11-25. Grzegorczyk sequence. https://arxiv.org/abs/1811.09958

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