Annals of Pure and Applied Logic 104 (1-3):305-324 (2000)

This paper deals with the proof theory of first-order applicative theories with non-constructive μ operator and a form of the bar rule, yielding systems of ordinal strength Γ0 and 20, respectively. Relevant use is made of fixed-point theories with ordinals plus bar rule
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DOI 10.1016/s0168-0072(00)00016-6
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References found in this work BETA

Systems of Predicative Analysis.Solomon Feferman - 1964 - Journal of Symbolic Logic 29 (1):1-30.
The Unfolding of Non-Finitist Arithmetic.Solomon Feferman & Thomas Strahm - 2000 - Annals of Pure and Applied Logic 104 (1-3):75-96.

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Citations of this work BETA

Unfolding Finitist Arithmetic.Solomon Feferman & Thomas Strahm - 2010 - Review of Symbolic Logic 3 (4):665-689.
Universes Over Frege Structures.Reinhard Kahle - 2003 - Annals of Pure and Applied Logic 119 (1-3):191-223.

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