The crisis of human brainpower
Speaking the language of the machines
When AI joins the research team
The future of truth and human minds
steve Translate math proofs into machine code to discover how AI verifies complex theorems.
steve Voevodsky's Univalence Axiom
Equivalent is equal, equivalent is equal, / Computers check the path.
In what decade did Appel and Haken publish their computer-assisted proof of the four-color theorem?
The Four-Color Debate: When the four-color map theorem was proved by computer in 1976, some mathematicians refused to accept it because humans couldn't check it by hand.
In which country was the theorem prover Coq, another major tool for formalizing math, originally developed?
How many colors are mathematically proven to be sufficient to color any flat map without adjacent regions sharing a color?
Which programming language and theorem prover, developed by Microsoft Research, has become highly popular for formalizing math?
What is the name of the open-source library that stores formalized mathematics for the Lean theorem prover?
Which mathematician initiated the Univalent Foundations project after finding an error in his own work?