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arxiv: 1409.8060 · v1 · pith:ZJRCRXZLnew · submitted 2014-09-29 · 🧮 math.LO

On VC-density in VC-minimal theories

classification 🧮 math.LO
keywords vc-minimalformulafreetheoryvariablesvc-codensityargumentfact
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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.

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