Epsilon Substitution Method for [image] -FIX

Journal of Symbolic Logic 71 (4):1155 - 1188 (2006)
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
Toshiyasu Arai (2003). Epsilon Substitution Method for ID1. Annals of Pure and Applied Logic 121 (2-3):163-208.
Henry Towsner (2005). Epsilon Substitution for Transfinite Induction. Archive for Mathematical Logic 44 (4):397-412.
T. Arai (2005). Epsilon Substitution Method for [Π0 1, Π0 1]-FIX. Archive for Mathematical Logic 44 (8):1009-1043.

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Hartley Slater (2001). Epsilon Calculi. Internet Encyclopedia of Philosophy.
W. W. Tait (1965). The Substitution Method. Journal of Symbolic Logic 30 (2):175-192.

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