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A Feasible Theory for Analysis
The Journal of Symbolic Logic
Vol. 59, No. 3 (Sep., 1994), pp. 1001-1011
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/2275924
Page Count: 11
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We construct a weak second-order theory of arithmetic which includes Weak König's Lemma (WKL) for trees defined by bounded formulae. The provably total functions (with Σb1-graphs) of this theory are the polynomial time computable functions. It is shown that the first-order strength of this version of WKL is exactly that of the scheme of collection for bounded formulae.
The Journal of Symbolic Logic © 1994 Association for Symbolic Logic