Lean 4 Proof Engineer - Mathematical Formalization
3 days ago
Cambridge
What if your deep mathematical training could directly shape how AI reasons about formal proofs — and help push the boundaries of what machines can understand and verify? We're looking for mathematicians with serious proof-writing chops and hands-on experience with formal proof systems to work on one of the most intellectually demanding challenges in AI today: translating complex human mathematical arguments into machine-verifiable formalizations using Lean 4. This is a fully remote, flexible contract role. If you live at the intersection of rigorous mathematics and formal verification — and you find satisfaction in the precision of making a dense, elegant argument machine-checkable — this role was built for you. • Organization: Alignerr, • Type: Hourly Contract, • Location: Remote, • Commitment: 10–40 hours/week, • Translate informal mathematical proofs into Lean 4 (and related proof systems) with emphasis on clarity, structure, and correctness, • Analyze domain-specific and general proofs, identifying hidden assumptions, logical gaps, and formalizable sub-structures, • Construct formalizations that test and extend the capabilities of existing proof assistants — especially where automated tools struggle or fail, • Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines, • Develop readable, reproducible proof scripts that align with mathematical best practices and proof assistant idioms, • Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models, • Investigate where automated provers break down and articulate root causes — complexity, missing lemmas, library gaps, and beyond, • Uncover deeper patterns or generalizations implicit in the original mathematics through formal expression, • Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field, • Possess a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics, • Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean strongly preferred, • Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics, • Able to translate informal mathematical arguments into clean, well-structured formal proofs with precision and care, • Familiarity with type theory, the Curry-Howard correspondence, and proof automation tooling, • Experience contributing to large-scale formalization projects such as Mathlib, • Exposure to theorem provers in settings where automated reasoning frequently fails or requires significant manual scaffolding, • Prior experience with data annotation, data quality evaluation, or AI training workflows, • Strong written communication skills for explaining formalization decisions, edge cases, and reasoning strategies to collaborators, • Work at the absolute frontier of formal mathematics and AI research, • Collaborate with world-leading AI research teams and labs on genuinely hard problems, • Fully remote and flexible — work when and where it suits you, • Freelance autonomy with meaningful, intellectually stimulating work, • Contribute to shaping how AI systems understand, generate, and verify mathematical reasoning, • Potential for ongoing work and contract extension as new projects launch #J-18808-Ljbffr