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Harmonic

Harmonic develops systems that generate mathematical reasoning and proofs, including Aristotle.

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A generated proof can come with a checkable result

Harmonic's Aristotle paper combines informal reasoning with proof search and a geometry solver, reporting gold-medal-equivalent performance on 2025 IMO problems. The practical possibility is generated work that can be checked against an explicit mathematical statement.

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Harmonic

Examine whether generated mathematics and software can carry checks that make the results easier to trust and use.

Context and limitations

Developer results have a commercial standpoint. A checked proof establishes a formal statement under its assumptions, not that the statement captures every real-world requirement.

Public research papers and product information; tool use has separate access terms