A symmetric $\beta$-model
NSF| Reverse Mathematics
Simpson, Stephen G.;
A symmetric $\beta$-model
We prove that there exists a countable $\beta$-model in which, for all reals $X$ and $Y$, $X$ is definable from $Y$ if and only $X$ is hyperarithmetical in $Y$. We also obtain some related results and pose some related questions.
Comment: 8 pages. This paper was written in 2000 but was not published until 2018. The only change since 2000 is that the references have been updated
- Pennsylvania State University United States
03F35, 03C62, 03C25, 03D80, 03B30, Mathematics - Logic
03F35, 03C62, 03C25, 03D80, 03B30, Mathematics - Logic
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