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Palomar Registry Launched for Lean Verified Mathematics Submissions
Key points
- Palomar registry is open for submissions of Lean verified mathematics.
- It checks Lean proofs for type-checking, absence of cheats, and semantic matching.
- Submissions require specific files: challenge, solution, and formalization.yaml.
- The registry is incubated by Lean FRO and ICARM.
Introduction of Palomar Registry
The Palomar registry, a new initiative from the Lean FRO and ICARM, has officially opened for submissions. This registry is designed to catalog and verify Lean formalizations of mathematical proofs, including those generated by AI.
Addressing Verification Challenges
The proliferation of AI-generated proofs in Lean has highlighted difficulties in verifying their correctness. Challenges include ensuring proofs typecheck, confirming no unauthorized axioms are added, and semantically matching formal statements with informal descriptions. Palomar aims to standardize this verification process.
Submission Requirements and Verification Process
Submissions to Palomar are snapshots of GitHub repositories containing Lean code. These repositories must include a 'challenge file' with a human-readable description of results, a 'solution module' with the proof, and a 'formalization.yaml' file for metadata and informal descriptions. Palomar checks that the solution module typechecks and proves the claimed results, and that the informal description aligns with the formal claim.
Purpose and Analogy
Palomar functions as an analogue to a preprint server, but specifically for Lean proofs. It provides a centralized system for researchers to submit and have their formalizations checked against established best practices, ensuring clarity and reliability in the growing field of verified mathematics.
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Primary sources
GitHub mathlib-initiative/formalization.yaml GitHub leanprover/comparator GitHub teorth/sendov GitHub WordPress/WordPressReporting from
The Palomar registry, an initiative by Lean FRO and ICARM, is now open for submissions of Lean verified mathematics. This registry aims to provide a standardized way to check and catalog formal Lean proofs, addressing challenges in verifying AI-generated proofs and ensuring their accuracy and adherence to best practices.