On the strength of Ramsey's theorem without Σ1 -induction

Mathematical Logic Quarterly 59 (1-2):108-111 (2013)
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Abstract

In this paper, we show that equation image is a equation image-conservative extension of BΣ1 + exp, thus it does not imply IΣ1

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References found in this work

Factorization of polynomials and °1 induction.S. G. Simpson - 1986 - Annals of Pure and Applied Logic 31:289.
Reverse mathematics and Peano categoricity.Stephen G. Simpson & Keita Yokoyama - 2013 - Annals of Pure and Applied Logic 164 (3):284-293.
Some independence results for peano arithmetic.J. B. Paris - 1978 - Journal of Symbolic Logic 43 (4):725-731.

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