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A continuity principle, a version of Baire's theorem and a boundedness principle

Published online by Cambridge University Press:  12 March 2014

Hajime Ishihara  and
Peter Schuster
Hajime Ishihara
Affiliation:
School of Information Science, Japan Advanced Institute of Science and Technology, Nomi, Ishikawa 923-1292, Japan, E-mail: ishihara@jaist.ac.jp
Peter Schuster
Affiliation:
Mathematisches institut, Universität München, Theresienstraβe 39, 80333 München, Germany, E-mail: Peter.Schuster@mathematik.uni-muenchen.de
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Abstract

We deal with a restricted form WC-N′ of the weak continuity principle, a version BT′ of Baire's theorem, and a boundedness principle BD-N. We show, in the spirit of constructive reverse mathematics, that WC-N′, BT′ + ¬LPO and BD-N + ¬LPO are equivalent in a constructive system, where LPO is the limited principle of omniscience.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 4 , December 2008 , pp. 1354 - 1360
Copyright
Copyright © Association for Symbolic Logic 2008

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