Submission date: 29 September 2014.

Abstract:

We show that any formula with two free variables in a VC-minimal theory has VC-codensity at most two. Modifying the argument slightly, we give a new proof of the fact that, in a VC-minimal theory where acl = dcl, the VC-codensity of a formula is at most the number of free variables.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1409.8060: pdf, ps.