# Sh:E34

• Shelah, S. On model completion of T_{\rm aut}. Preprint. arXiv: math/0404180
• Abstract:
We characterize stable T for which the model completion of T_\sigma=T_{\rm aut} is stable (i.e., every completion is). Then we prove that “some completion is stable” is different and characterize it. We also prove that any such model completion satisfies NSOP_3. Finally we show that there is an unstable (complete first order) T with T_{\rm aut} having model completion.
@unpublished{Sh:E34,
title = {{On model completion of $T_{\rm aut}$}},
}