{"id":"palomar/PALOMAR-2026-09-17-000004","url":"https://github.com/boonsuan/chvatal/tree/c46f715af9d400523eb0d4c9c0d2335abbdc9fdd","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-09-17-000004-v1.json","repo":"https://github.com/boonsuan/chvatal","tags":["math.CO","math.PR","msc:05D05","extremal-combinatorics","set-families","lean-formalization"],"score":0,"title":"A formalization of Chang, Liu, and Liu's proof of Chvátal's conjecture","trust":"high","domain":"math.CO","source":"palomar","authors":["Boon Suan Ho"],"reviews":0,"subject":"math.CO","summary":"A Lean 4 + mathlib formalization of Fan Chang, Hong Liu, and Miao Liu's paper \"A proof of Chvátal's conjecture via a sharp correlation inequality\" (arXiv:2609.19123v1). It formalizes their star theorem for hereditary set families, sharp Boolean Fourier correlation inequality, antipodal corollary, sharpness results, and weighted strengthening. The formalization was completely prepared by GPT-6.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-09-17","reactions":{},"formalized":true,"formalizes":[{"title":"A proof of Chvátal's conjecture via a sharp correlation inequality","identifier":"https://arxiv.org/abs/2609.19123v1","relationship":"formalizes"}]}