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  1. dp-Rank and Forbidden Configurations.Hunter Johnson - 2013 - Notre Dame Journal of Formal Logic 54 (1):1-13.
    A theory $T$ is shown to have an ICT pattern of depth $k$ in $n$ variables iff it interprets some $k$ -maximum VC class in $n$ parameters.
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  • On VC-Density in VC-Minimal Theories.Vincent Guingona - 2022 - Notre Dame Journal of Formal Logic 63 (3):395-413.
    We show that any formula with two free variables in a Vapnik–Chervonenkis (VC) minimal theory has VC-codensity at most 2. Modifying the argument slightly, we give a new proof of the fact that, in a VC-minimal theory where acleq= dcleq, the VC-codensity of a formula is at most the number of free variables (from the work of Aschenbrenner et al., the author, and Laskowski).
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  • On a common generalization of Shelah's 2-rank, dp-rank, and o-minimal dimension.Vincent Guingona & Cameron Donnay Hill - 2015 - Annals of Pure and Applied Logic 166 (4):502-525.