Lean 4 Mathematical Formalization Expert
About this role
About the Role What if your deep knowledge of formal proof and mathematical rigor could directly shape how AI reasons about mathematics? We're looking for Lean 4 experts to translate rigorous mathematical content into machine-verified formal proofs — working at the cutting edge of AI development where automation alone isn't enough. This is a fully remote, flexible contract role built for mathematicians and formal verification specialists who want meaningful, high-impact work on their own schedule. - Organization: Alignerr - Type: Hourly Contract - Location: Remote - Commitment: Flexible — work at your own pace What You'll Do - Formalize mathematical content from natural language sources — textbooks, research articles, exercises — into valid, compilable Lean 4 code - Translate theorems, lemmas, propositions, and proofs into precise formal representations - Ensure formal code accurately captures the mathematical meaning and logical structure of original statements - Review and validate Lean 4 formalizations for correctness, consistency, and logical soundness - Identify ambiguities, missing assumptions, or logical gaps in informal mathematical descriptions - Contribute to high-quality datasets pairing human-written mathematics with formal Lean 4 equivalents for AI training Who You Are - Strong hands-on experience with Lean 4 — you write precise, correct, and maintainable formal proofs - Solid background in mathematics, formal logic, or formal verification - Comfortable reading advanced mathematical texts and translating them into formal systems - Exceptional attention to detail and commitment to logical rigor - Interested in the intersection of AI, automated reasoning, and mathematical verification Nice to Have - Experience with other theorem provers or formal systems (Coq, Isabelle, Agda, etc.) - Prior involvement in AI training, expert annotation, or reasoning-focused dataset creation - Familiarity with proof assistants or formal methods research - Background in academic mathematics or computer science research Why Join Us - Work at the frontier of AI — your contributions directly improve how AI models reason about mathematics - Fully remote and flexible — work from anywhere, entirely on your own schedule - Clearly defined tasks and evaluation criteria — you always know what success looks like - Top performers are selected for extended engagements and advanced or leadership tracks - Join a network of elite mathematicians and specialists solving problems automation can't
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