🏛️ Palomar: Terence Tao Opens Registry of Verified Lean Proofs
On August 18, 2026, Terence Tao announced on his blog that Palomar (palomar-registry.org) — a “preprint server for Lean proofs,” a registry of mathematics verified in the Lean proof assistant — is now open for submissions. The initiative was developed by Lean FRO and ICARM (NSF Mathematical Sciences Research Institute at Carnegie Mellon University); the scientific advisory board, in addition to Tao, includes Jeremy Avigad, Matthew Ballard, Jaume de Dios, Nestor Guillen, Bryna Kra, Kim Morrison, Ravi Vakil, and Akshay Venkatesh.
🌍 Amid a growing flow of formalized, including AI-assisted, proofs, Palomar sets an infrastructure standard for trust in machine-checked mathematics: a snapshot of a specific commit from a public GitHub repository is registered only after three automated checks without human involvement. The Comparator tool (github.com/leanprover/comparator) mechanically checks that the solution type-checks and proves exactly the stated theorem against a pinned version of Mathlib with an allowed list of axioms, an LLM verifies that the formal statement faithfully conveys the informal description, and a third stage audits disclosures in formalization.yaml. The registry explicitly is not a journal and separates “proof of the statement” from peer review, but it provides stable, citable records of formalized theorems. As a test, Tao submitted his recent formalization of the proof of the Sendov conjecture (record PALOMAR-2026-08-13-000001); both old and new results are accepted — proven by humans, AI, or a mix of both.
👤 The registry is public, search is available with filters by Mathlib, arXiv, and MSC, and discussion takes place in the Palomar channel on Lean Zulip: you can see which results have already passed verification and study the Comparator tool and the formalization.yaml format. You can submit your own Lean formalization following the instructions at palomar-registry.org/how-to-submit — according to Tao, modern AI agents are very helpful with the submission mechanics.
Source 1: https://terrytao.wordpress.com/2026-08-18/palomar-a-registry-of-lean-verified-mathematics/ Source 2: https://icarm.io/news/announcing-palomar-a-registry-of-lean-verified-mathematics/