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On the Herbrand notion of consistency for finitely axiomatizable fragments of bounded arithmetic theories

Published online by Cambridge University Press:  12 March 2014

Leszek Aleksander Kołodziejczyk
Leszek Aleksander Kołodziejczyk*
Affiliation:
Warsaw University, Institute of Mathematics, Banacha 2, 02-097 Warszawa, Poland. E-mail: lak@mimuw.edu.pl
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Abstract

Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic [3] we show that there exists a number n such that ⋃mSm (the union of the bounded arithmetic theories Sm) does not prove the Herbrand consistency of the finitely axiomatizable theory S3n

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 2 , June 2006 , pp. 624 - 638
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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