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Joonhee Kim

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Preprint Sep 2026

$n$-variable theorems for dividing lines characterized by positive consistency-inconsistency configurations, and their applications to preservation problems

We define a class of classes of complete first-order theories, denoted by $\mathfrak{D}_{n\text{-var}}$, using positive consistency-inconsistency configurations and generalized indiscernibles. It contains the classes of stable, simple, NIP, NTP$_1$, NTP$_2$, NATP, NCTP, NBTP, NWP, NGP, and NPM$^{(k)}$ theories. For any...

Joonhee Kim · 0 citations

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