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On the relation between choice and comprehension principles in second order arithmetic1

Published online by Cambridge University Press:  12 March 2014

Andrea Cantini
Andrea Cantini*
Affiliation:
University of Trieste, Trieste, Italy
*
Current address: Via Adriano Mari 5, I-50136 Firenze, Italy
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Abstract

We give a new elementary proof of the comparison theorem relating and ; the proof does not use Skolem theories.

By the same method we prove:

a) , for suitable classes of sentences;

b) proves the consistency of , for finite k, and hence is stronger than .

a) and b) answer a question of Feferman and Sieg.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 51 , Issue 2 , June 1986 , pp. 360 - 373
Copyright
Copyright © Association for Symbolic Logic 1986

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Footnotes

1

The results of this paper were presented at the Mathematisches Forschungsinstitut Oberwolfach during the meeting held from January 2 to January 7, 1984.

References

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