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2024-05-16
VC-Density in Pairs of Ordered Vector Space
Ayhan GünaydınEbru Nayir
文献摘要
We show that the VC-density of any partitioned formula in a pair of ordered vector spaces is bounded above by twice the number of parameter variables. We also show that this bound is optimal and, as a by-product, we prove that no dense pair of o-minimal structures is dp-minimal.
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