Definition
Plain language
A collection of mathematical problems written out as code so a computer can check answers to them.
As stated in the literature
A DeepMind dataset of mathematical statements formalized in Lean, spanning warmups, classical results, recently settled conjectures, and open problems.
Also called: Formal Conjectures dataset
Why it matters: Having easy and unsolved problems side by side in one uniform format makes it possible to test how far an automated prover really gets — and to notice immediately when it claims something it should not be able to.
For example, the collection ranges from gentle warm-up statements a student could prove to open questions that no mathematician has ever settled, all written in the same machine-readable form.
Heard on the show
“They were instructed to collaborate on seventy-one mathematics problems from DeepMind’s Formal Conjectures dataset.”Episode 260 — One Line of Lean Faked 34 Proofs, and 99 Agents Copied It