Archive for Mathematical Logic 44 (4):397-412 (2005)

Abstract
We apply Mints’ technique for proving the termination of the epsilon substitution method via cut-elimination to the system of Peano Arithmetic with Transfinite Induction given by Arai.
Keywords Epsilon substitution  Cut elimination
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Reprint years 2005
DOI 10.1007/s00153-004-0241-3
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References found in this work BETA

Epsilon Substitution Method for ID1.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 121 (2-3):163-208.
Epsilon Substitution Method for Theories of Jump Hierarchies.Toshiyasu Arai - 2002 - Archive for Mathematical Logic 41 (2):123-153.

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Citations of this work BETA

Epsilon Substitution Method for [Image] -FIX.Toshiyasu Arai - 2006 - Journal of Symbolic Logic 71 (4):1155 - 1188.
Cut Elimination for a Simple Formulation of Epsilon Calculus.Grigori Mints - 2008 - Annals of Pure and Applied Logic 152 (1):148-160.
Epsilon Substitution for $$\Textit{ID}_1$$ ID 1 Via Cut-Elimination.Henry Towsner - 2018 - Archive for Mathematical Logic 57 (5-6):497-531.

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Epsilon Substitution Method for Theories of Jump Hierarchies.Toshiyasu Arai - 2002 - Archive for Mathematical Logic 41 (2):123-153.
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Epsilon Substitution Method for ID1.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 121 (2-3):163-208.
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