A Generalization of the Consistency Predicate

Studies in Logic, Grammar and Rhetoric 27 (40) (2012)
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Cuts, consistency statements and interpretations.Pavel Pudlák - 1985 - Journal of Symbolic Logic 50 (2):423-441.
The slow-growing and the grzecorczyk hierarchies.E. A. Cichon & S. S. Wainer - 1983 - Journal of Symbolic Logic 48 (2):399-408.

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