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A feasible theory for analysis

Published online by Cambridge University Press:  12 March 2014

Fernando Ferreira
Fernando Ferreira*
Affiliation:
Universidade de Lisboa, Departamento de Matemática, 1700 Lisboa, Portugal, E-mail: mferferr@ptearn.bitnet
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Abstract

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 -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.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 3 , September 1994 , pp. 1001 - 1011
Copyright
Copyright © Association for Symbolic Logic 1994

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References

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