Annals of Pure and Applied Logic 104 (1-3):75-96 (2000)

The unfolding of schematic formal systems is a novel concept which was initiated in Feferman , Gödel ’96, Lecture Notes in Logic, Springer, Berlin, 1996, pp. 3–22). This paper is mainly concerned with the proof-theoretic analysis of various unfolding systems for non-finitist arithmetic . In particular, we examine two restricted unfoldings and , as well as a full unfolding, . The principal results then state: is equivalent to ; is equivalent to ; is equivalent to . Thus is proof-theoretically equivalent to predicative analysis
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DOI 10.1016/s0168-0072(00)00008-7
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References found in this work BETA

Reflecting on Incompleteness.Solomon Feferman - 1991 - Journal of Symbolic Logic 56 (1):1-49.
Fixed Points in Peano Arithmetic with Ordinals.Gerhard Jäger - 1993 - Annals of Pure and Applied Logic 60 (2):119-132.

View all 9 references / Add more references

Citations of this work BETA

Axioms for Determinateness and Truth.Solomon Feferman - 2008 - Review of Symbolic Logic 1 (2):204-217.
Predicativity.Solomon Feferman - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford: Oxford University Press. pp. 590-624.
Predicativity and Feferman.Laura Crosilla - 2017 - In Feferman on Foundations. Springer Verlag. pp. 423-447.

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