Recursion in a quantifier vs. elementary induction

Journal of Symbolic Logic 44 (2):235-259 (1979)
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10.2307/2273731

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Theory of Recursive Functions and Effective Computability.Hartley Rogers - 1971 - Journal of Symbolic Logic 36 (1):141-146.
Elementary Induction on Abstract Structures.Wayne Richter - 1979 - Journal of Symbolic Logic 44 (1):124-125.

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