In this episode, Anna Rose and Guillermo Angeris talk with Kevin Lacker, creator of Acorn, a theorem prover utilising AI. They explore what theorem provers are, their history, and how they're used today. Kevin shares how Acorn brings in AI to simplify the proving process, letting users naturally write mathematical statements while the system checks the correctness of those statements. It's built to feel more like natural math, unlike tools like Lean that demand every step. They also explore the benefits of including AI in math, and also the challenges that come with it such as hallucinations, and how Acorn could speed up research in areas like zero-knowledge proofs. The dicussion also covers the history of mathematics, community building around Acorn and its open math library, acornlib. Related links:

Guillermo’s Blog Post:Acorn and the future of (AI?) theorem proving
Acorn Theorem Prover
Acorn Standard Library:acornlib
Lean Theorem Prover

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Kevin Lacker on AI-Assisted Theorem Proving and Acorn

Zero Knowledge

The prover as the verifier against hallucinations

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