2 problems

Valuation-ring finite-burden conjecture. The structure $(K,\mathcal{O})$ has finite burden.

In a first-order theory $T$, let $\operatorname{bdn}(a)$ denote the burden of a tuple $a$, and say that $T$ is NTP$_2$ when it has no inp-pattern of depth $\omega$ in a single vari…