The Anstee-Sali Conjecture on Forbidden Configurations
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Statement
For a forbidden configuration F, the Anstee-Sali conjecture predicts that forb(m, F) is Theta(m^(X(F)-1)), where X(F) comes from an explicit product construction. Disproved: the 4-uniform family on six vertices formed by a two-vertex core joined to the edges of a 4-cycle has X(F) = 4, so the conjecture predicts Theta(m^3), while a random-alteration argument gives Omega(m^(10/3)).
Context
The central conjecture of a named research programme with its own long-running dynamic survey, well known inside extremal set theory and invisible outside it.
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The abstract ends "The example was found by GPT-5.6 Sol", and a dedicated disclosure section repeats it: "The authors used GPT-5.6 Sol for finding the example. The authors reviewed and revised all outputs, verified results, and take full responsibility for the final manuscript."
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