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Problems / combinatorics

combinatorics / Extremal set theory

Uniform Witnesses for Uniform Set Systems: the k=3 Question

In the Frankl-Pach-Erdős circle of VC-dimension problems, the first arXiv version of the paper posed the $k=3$ case of a witness construction question. ChatGPT 5.4 Pro answered it; the published construction generalizes the model's response, and the conversation transcript is public.

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combinatoricsMar 1, 2026Significance 8/100Registry: unreviewed

Uniform Witnesses for Uniform Set Systems: the k=3 Question

Prior state unknown→proved

In the Frankl-Pach-Erdős circle of VC-dimension problems, the first arXiv version of the paper posed the $k=3$ case of a witness construction question. ChatGPT 5.4 Pro answered it; the published construction generalizes the model's response, and the conversation transcript is public.

Source authenticatedUniform Witnesses for Uniform Set Systems: the k=3 Question →
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In the Frankl-Pach-Erdős circle of VC-dimension problems, the first arXiv version of the paper posed the $k=3$ case of a witness construction question. ChatGPT 5.4 Pro answered it; the published construction generalizes the model's response, and the conversation transcript is public.

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