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1 results

The proof-theoretic analysis of transfinitely iterated quasi least fixed points
Dieter Probst
Journal:

The Journal of Symbolic Logic / Volume 71 / Issue 3 / September 2006

Published online by Cambridge University Press:

12 March 2014, pp. 721-746

Print publication:

September 2006
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The starting point of this article is an old question asked by Feferman in his paper on Hancock's conjecture [6] about the strength of . This theory is obtained from the well-known theory ID1 by restricting fixed point induction to formulas that contain fixed point constants only positively. The techniques used to perform the proof-theoretic analysis of also permit to analyze its transfinitely iterated variants . Thus, we eventually know that