Lean 4 Proof Engineer - Mathematical Formalization

Lean 4 Proof Engineer - Mathematical Formalization

About the role : At Alignerr, we partner with the world’s leading AI research teams and labs to build and train cutting-edge AI models. You will write and formalize advanced mathematical proofs in Lean for cutting-edge AI research. This role is ideal for mathematicians passionnés par la vérification formelle et le dépassement des limites des assistants de preuve modernes.

Overview

Organization : Alignerr

Position : Lean 4 Proof Engineer - Mathematical Formalization

Type : Hourly Contract

Compensation : $70–$150 / hour

Location : Remote

Commitment : 10–40 hours / week

What You’ll Do

• Translate informal mathematical proofs into Lean (and related proof systems) with emphasis on clarity, structure, and correctness.
• Analyze generic and domain-specific proofs, identify gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that test the limits of existing proof assistants, especially where tools struggle or fail.
• Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
• Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.
• Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
• Sample work: Formalize classical proofs and compare machine-verifiable structures against textbook arguments; investigate where automated provers break down and articulate why.
• Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics.

Requirements

• Master’s degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Strong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle / HOL, Agda, or comparable systems, with Lean strongly preferred.
• Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics.
• Ability to translate informal arguments into clean, structured formal proofs.

Preferred

• Prior experience with data annotation, data quality, or evaluation systems.
• Familiarity with type theory, Curry-Howard correspondence, and proof automation tools.
• Experience with large-scale formalization projects (e.g., mathlib).
• Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.
• Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.

Ideal Candidate

• A mathematically mature problem-solver who enjoys working at the frontier of formal verification; someone who takes satisfaction in translating dense human arguments into machine-understandable form, with a focus on precision and structure.

Why Join Us

• Competitive pay and flexible remote work.
• Collaborate with a team working on cutting-edge AI projects.
• Exposure to advanced LLMs and how they’re trained.
• Freelance perks: autonomy, flexibility, and global collaboration.
• Potential for contract extension.

Application Process

• Submit your resume
• Complete a short screening
• Project matching and onboarding

PS: Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.

Seniority level

• Entry level

Employment type

• Contract

Job function

• Management and Manufacturing

Industries

• Technology, Information and Internet

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