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  1. Inductive definitions over a predicative arithmetic.Stanley S. Wainer & Richard S. Williams - 2005 - Annals of Pure and Applied Logic 136 (1-2):175-188.
    Girard’s maxim, that Peano Arithmetic is a theory of one inductive definition, is re-examined in the light of a weak theory EA formalising basic principles of Nelson’s predicative Arithmetic.
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  • Tiering as a recursion technique.Harold Simmons - 2005 - Bulletin of Symbolic Logic 11 (3):321-350.
    I survey the syntactic technique of tiering which can be used to restrict the power of a recursion scheme. I show how various results can be obtained entirely proof theoretically without the use of a model of computation.
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