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Δ3O-determinacy, comprehension and induction

Published online by Cambridge University Press:  12 March 2014

Medyahya Ould Medsalem  and
Kazuyuki Tanaka
Medyahya Ould Medsalem*
Affiliation:
Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan
Kazuyuki Tanaka
Affiliation:
Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan, E-mail: tanaka@math.tohoku.ac.jp
*
Current address: University of Paris-XI, Orsay, LRI, Bat.490, 91405 Orsay Cedex, France, E-mail: dah@lri.fr
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Abstract

We show that each of and proves -Det and that neither nor can be dropped. We also show that neither nor proves -Det. Moreover, we prove that none of and is provable in

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 2 , June 2007 , pp. 452 - 462
Copyright
Copyright © Association for Symbolic Logic 2007

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References

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