Epsilon Substitution Method for $\Pi _{2}^{0}$ -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].
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