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  2--induction 0

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by Induction Rule, Ulrich Kohlenbach
http://www.brics.dk/~kohlenb/Spri.ps
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Abstract:

It is well--known (due to C. Parsons) that the extension of primitive recursive arithmetic PRA by first--order predicate logic and the rule of # 0

Citations

34 Theories of finite type related to mathematical practice – Feferman - 1977
33 Hilbert's program relativized: proof-theoretical and foundational studies – Feferman - 1988
30 On a number-theoretic choice schema and its relation to induction, in Intuitionism and Proof Theory: proceedings of the summer conference at Buffalo N.Y – Parsons - 1968
21 Fragments of arithmetic – Sieg - 1985
20 On n-quantifier induction – Parsons - 1972
18 E#ective bounds from ine#ective proofs in analysis: an application of functional interpretation and majorization – Kohlenbach - 1992
6 growth in standard parts of analysis. Habilitationsschrift – Kohlenbach, Real - 1995
3 What can be done with PRA – Mints - 1980
2 Constructions in classical analysis by unwinding proofs using majorizability (abstract, Logic Colloquium 89 – Kohlenbach - 1992