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Acorn and the future of (AI?) theorem proving


Here's how mathematical proofs generally work. You start with some statement. Say, something like: A standard mathematical proof is then a list of sta...

Humans aren't dictionaries of (maybe unnamed) theorems, we simply know that some statements are true based on previous things we have proven at some point or read. In this particular example, using the VS Code extension, you can put your cursor on the claim (the last line of the block above) and the status of the theorem prover is displayed on the right hand side. Having such encyclopedic knowledge is exactly the type of thing that humans are very bad at, yet computers (including modern AI assistants) are extremely good at.

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