Epsilon substitution method for [Π0 1, Π0 1]-FIX

Archive for Mathematical Logic 44 (8):1009-1043 (2005)

Abstract
We formulate epsilon substitution method for a theory [Π0 1, Π0 1]-FIX for two steps non-monotonic Π0 1 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 10.1007/s00153-005-0290-2
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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—I: Recursively Mahlo Ordinals.Toshiyasu Arai - 2003 - Annals of Pure and Applied Logic 122 (1-3):1-85.
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.
Exact Bounds on Epsilon Processes.Toshiyasu Arai - 2011 - Archive for Mathematical Logic 50 (3-4):445-458.

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