Lean 4 Proof Engineer — Mathematical Formalization (AI Training)
About The Role
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.
Details
* Organization: Alignerr
* Type: Hourly Contract
* Location: Remote
* Commitment: 10–40 hours/week
What You’ll Do
* 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 substructures.
* 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.
Who You Are
* 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.
Nice to Have
* 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.
Why Join Us
* 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