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arXiv · 1005.1991

Intuitionistic fixed point theories over Heyting arithmetic

Toshiyasu Arai
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Abstract

In this paper we show that an intuitionistic theory for fixed points is conservative over the Heyting arithmetic with respect to a certain class of formulas. This extends partly the result of mine. The proof is inspired by the quick cut-elimination due to G. Mints.

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Toshiyasu Arai. 2010-05-12. Intuitionistic fixed point theories over Heyting arithmetic. https://arxiv.org/abs/1005.1991

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