Epsilon Substitution Method for [image] -FIX

Journal of Symbolic Logic 71 (4):1155 - 1188 (2006)
Abstract
In this paper we formulate epsilon substitution method for a theory $\Pi _{2}^{0}$-FIX for non-monotonic $\Pi _{2}^{0}$ inductive definitions. Then we give a termination proof of the H-processes based on Ackermann [1]
Keywords Epsilon substitution  Ordinal interpretation  Termination proof
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DOI 10.2178/jsl/1164060450
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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.
Proof Theory for Theories of Ordinals II: Π3-Reflection.Toshiyasu Arai - 2004 - Annals of Pure and Applied Logic 129 (1-3):39-92.
Epsilon Substitution for Transfinite Induction.Henry Towsner - 2004 - Archive for Mathematical Logic 44 (4):397-412.
Epsilon Substitution Method for [Π0 1, Π0 1]-FIX.T. Arai - 2005 - Archive for Mathematical Logic 44 (8):1009-1043.
Ideas in the Epsilon Substitution Method for Π 1 0 -FIX.Toshiyasu Arai - 2005 - Annals of Pure and Applied Logic 136 (1-2):3-21.

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Citations of this work BETA
Exact Bounds on Epsilon Processes.Toshiyasu Arai - 2011 - Archive for Mathematical Logic 50 (3):445-458.
Proof Theory of Weak Compactness.Toshiyasu Arai - 2013 - Journal of Mathematical Logic 13 (1):1350003.

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