Mathematical Logic Quarterly 48 (2):195-202 (2002)

Abstract
In this paper it is shown that the intuitionistic .xed point theory equation image for α times iterated fixed points of strictly positive operator forms is conservative for negative arithmetic and equation image sentences over the theory equation image for α times iterated arithmetic comprehension without set parameters.This generalizes results previously due to Buchholz [5] and Arai [2]
Keywords Heyting arithmetic  intuitionistic fixed point theories  accessibility operators  strictly positive operators
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DOI 10.1002/1521-3870(200202)48:2
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References found in this work BETA

Reflecting on Incompleteness.Solomon Feferman - 1991 - Journal of Symbolic Logic 56 (1):1-49.
On the Relationship Between ATR 0 And.Jeremy Avigad - 1996 - Journal of Symbolic Logic 61 (3):768-779.
On the Relationships Between ATR0 and $\widehat{ID}_{.Jeremy Avigad - 1996 - Journal of Symbolic Logic 61 (3):768 - 779.

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Citations of this work BETA

From Hierarchies to Well-Foundedness.Dandolo Flumini & Kentaro Sato - 2014 - Archive for Mathematical Logic 53 (7-8):855-863.
Intuitionistic Fixed Point Theories Over Set Theories.Toshiyasu Arai - 2015 - Archive for Mathematical Logic 54 (5-6):531-553.
Quick Cut-Elimination for Strictly Positive Cuts.Toshiyasu Arai - 2011 - Annals of Pure and Applied Logic 162 (10):807-815.

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