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arXiv · 1010.4111

Quick cut-elimination for strictly positive cuts

Toshiyasu Arai
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Abstract

In this paper we show that the intuitionistic theory for finitely many iterations of strictly positive operators is a conservative extension of the Heyting arithmetic. The proof is inspired by the quick cut-elimination due to G. Mints. This technique is also applied to fragments of Heyting arithmetic.

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Toshiyasu Arai. 2010-10-20. Quick cut-elimination for strictly positive cuts. https://arxiv.org/abs/1010.4111

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