A FEASIBLE THEORY FOR ANALYSIS

被引:20
作者
FERREIRA, F
机构
关键词
D O I
10.2307/2275924
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a weak second-order theory of arithmetic which includes Weak Konig's Lemma (WKL) for trees defined by bounded formulae. The provably total function (with SIGMA1b-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.
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页码:1001 / 1011
页数:11
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