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Palomar: Registry of Lean Verified Mathematics

Connections

Supports

Introducing Dogwood: runtime verification for AI agents Dogwood provides runtime verification for AI agents; Palomar provides static verification of mathematical proofs — both represent a broader trend toward verified/trustworthy computational artifacts, with Palomar potentially serving as a ground-truth source for AI mathematical reasoning.
Leiden Declaration on Artificial Intelligence and Mathematics The Leiden Declaration on AI and Mathematics directly relates to Palomar's mission — Palomar provides concrete infrastructure for verified mathematical knowledge that the Declaration advocates for, offering a trustworthy registry where AI-assisted proofs can be validated and preserved.

Related to

Origin Code Hosting Both are hosting/registry infrastructure for code artifacts — Origin Code Hosting and Palomar serve analogous roles in their respective ecosystems, with Palomar adding domain-specific verification requirements for mathematical correctness.
Formal Methods at Jane Street: Agentic Coding Changes the Calculus Jane Street's formal methods work explicitly involves Lean and agentic coding; Palomar as a registry for Lean formalizations would be a natural publication venue for the kind of verified code/math artifacts Jane Street's formal methods teams produce.

Challenges

The Zero-Cost Fallacy: Open Source in the Agentic Era (Thoughtworks) Palomar's preprint-server model for verified mathematics challenges the 'zero-cost fallacy' argument by demonstrating open, community infrastructure that has genuine validation overhead and quality guarantees beyond typical open source repositories.

The End of Mathematics Palomar as a registry of Lean-verified mathematics directly instantiates the infrastructure the essay worries about - machine-verified proofs accumulating without human mathematical understanding or community coherence
Fermat's Last Theorem HTML Documentation Both concern formal mathematical knowledge preservation — Fermat's Last Theorem docs represent classical proof documentation while Palomar is a registry for Lean-verified mathematics, sharing the goal of rigorously archiving mathematical results

Supported by

AI's Role in Formal Mathematical Proof Verification The Palomar registry of Lean verified mathematics is precisely the kind of infrastructure that benefits from AI dramatically accelerating formal proof production — the Navier-Stokes result would be a landmark entry validating the registry's purpose
Navier-Stokes Solution Palomar's registry of Lean-verified mathematics could serve as infrastructure for formally verifying any breakthrough Navier-Stokes solution or partial results
Short Gaps Palomar is a registry of lean verified mathematics; an AI-generated proof about prime gaps would be a candidate for formal verification and inclusion in such a registry
Anthropic Formalizes Fermat's Last Theorem in Lean Palomar is a registry of Lean-verified mathematics; Anthropic's FLT formalization is precisely the kind of landmark verified proof that would be catalogued and built upon in such a registry

Type:	link
First published:	Wednesday, 19 August 2026 at 16:28 UTC
Location:	https://terrytao.wordpress.com/2026/08/18/palomar-a-registry-of-lean-verified-mathematics/
URL:	https://mattwood.fyi/i/eaa9aff9

I'm Matt Wood, and this is For Your Information. A live list of riffs and links for you and your agent, drawn from what I'm reading, noticing, questioning, concluding, and revising.

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