Exact bounds on epsilon processes

Archive for Mathematical Logic 50 (3-4):445-458 (2011)
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Abstract

In this paper we show that the lengths of the approximating processes in epsilon substitution method are calculable by ordinal recursions in an optimal way.

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10.1007/s00153-010-0225-4

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Citations of this work

Herbrand complexity and the epsilon calculus with equality.Kenji Miyamoto & Georg Moser - 2023 - Archive for Mathematical Logic 63 (1):89-118.

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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.
Functionals defined by transfinite recursion.W. W. Tait - 1965 - Journal of Symbolic Logic 30 (2):155-174.
Epsilon substitution method for theories of jump hierarchies.Toshiyasu Arai - 2002 - Archive for Mathematical Logic 41 (2):123-153.
Nested Recursion.W. W. Tait - 1963 - Journal of Symbolic Logic 28 (1):103-104.
Ideas in the epsilon substitution method for -FIX.Toshiyasu Arai - 2005 - Annals of Pure and Applied Logic 136 (1-2):3-21.

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