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

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

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10.1007/s00153-005-0290-2

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Citations of this work

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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References found in this work

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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