The Reduction Atlas

proof search · 303 goals · 354 on the shelf · 8 hubs
The spine of the six-atlas corpus  ·  every goal and every result deep-links into its home entry; the reductions run both ways
The established-results trilogy is the shelf of premises; the open-problems trilogy supplies the goals. A goal’s wishlist is what would discharge it — W ⊢ Goal. The whole open corpus (303 problems) is loaded and classified; the ones with real reduction structure carry full wishlists, and the rest are honestly marked hub-dependent, stuck, or method-resistant — which is itself the finding. Hubs are the master conjectures most problems funnel into; leverage ranks goals by real downstream reach; the reverse index turns any shelf result into the list of problems it bears on. No open problem is claimed solved.
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