# Sh:979

• Shelah, S., & Simon, P. (2012). Adding linear orders. J. Symbolic Logic, 77(2), 717–725.
• Abstract:
We address the following question: Can we expand an NIP theory by adding a linear order such that the expansion is still NIP? Easily, if acl(A)=A for all A, then this is true. Otherwise, we give counterexamples. More precisely, there is a totally categorical theory for which every expansion by a linear order has IP. There is also an \omega-stable NDOP theory for which every expansion by a linear order interprets bounded arithmetic.
• published version (10p)
Bib entry
@article{Sh:979,
author = {Shelah, Saharon and Simon, Pierre},
}