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On the relationship between ATR 0 and
Journal of Symbolic Logic 61 (3):768-779 (1996)
Abstract
We show that the theory ATR 0 is equivalent to a second-order generalization of the theory $\widehat{ID}_{ . As a result, ATR 0 is conservative over $\widehat{ID}_{ for arithmetic sentences, though proofs in ATR 0 can be much shorter than their $\widehat{ID}_{ counterpartsAuthor's Profile
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Citations of this work
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Admissible extensions of subtheories of second order arithmetic.Gerhard Jäger & Michael Rathjen - 2024 - Annals of Pure and Applied Logic 175 (7):103425.
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Elementary inductive dichotomy: Separation of open and clopen determinacies with infinite alternatives.Kentaro Sato - 2020 - Annals of Pure and Applied Logic 171 (3):102754.
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References found in this work
Metamathematics of First-Order Arithmetic.Petr Hajék & Pavel Pudlák - 1994 - Studia Logica 53 (3):465-466.
On the strength of könig's duality theorem for countable bipartite graphs.Stephen G. Simpson - 1994 - Journal of Symbolic Logic 59 (1):113-123.
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