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New project: a coding and formal verification agent for computational physics and applied mathematics. Auto-generate type-correct DSL code for equations and numerical schemes, autoformalize correctness properties in Lean/Isabelle/Rocq, then compile down to provably-correct C code

Jonathan Gorard

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48,693 views • 16 days ago •via X (Twitter)

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“Math is code. And code is math.” Carina Hong CEO Axiom on why that idea matters for AI: “For centuries, mathematicians reasoned in natural language. But because of the Curry–Howard correspondence, a proof can also be a program.” “You can translate natural-language math into formal code using systems like Lean. Lean is both a theorem-proving language and a programming language.” “That means you can generate solutions as code and then formally verify them. You can even use the same system to verify programs themselves.” “This creates a flywheel of generation and verification, where AI can both write solutions and prove that they’re correct.”

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