Lean 4 Proof Engineer - Mathematical Formalization

Lean 4 Proof Engineer – Mathematical Formalization

Company: Alignerr, Perth, Western Australia (remote work)

Position Type: Hourly Contract, 10–40 hours per week

Salary: $70.00–$150.00 per hour

Role Overview

• Seeking mathematicians with rigorous proof construction expertise and experience in formal proof languages, especially Lean.
• Focus on translating human‑written mathematical arguments into machine‑verifiable formalizations.
• Work on proofs that challenge the limits of automated provers, mapping the frontier of formal verification.

What You’ll Do

• Translate informal mathematical proofs into Lean, emphasizing clarity and correctness.
• Analyze generic and domain‑specific proofs to identify gaps, hidden assumptions, and formalizable substructures.
• Construct formalizations that test the limits of existing proof assistants where tools struggle or fail.
• Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with mathematical best practices.
• Provide guidance on proof decomposition, lemma selection, and structuring techniques.
• Sample Work:
  • Formalize classical proofs and compare machine‑verifiable structures to textbook arguments.
  • Investigate where automated provers break down and articulate reasons.
  • 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 across areas such as algebra, analysis, topology, logic, or discrete mathematics.
• Hands‑on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems.
• Deep enthusiasm for formal verification and 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 and reasoning strategies.

Ideal Candidate

A mathematically mature problem‑solver who enjoys tackling the frontier of formal verification, translating elegant human arguments into machine‑understandable form, and resolving gaps where automatic tools fall short.

Why Join Us

• Competitive pay and flexible remote work.
• Collaborate with a team on cutting‑edge AI projects.
• Exposure to advanced LLMs and their training processes.
• Freelance perks: autonomy, flexibility, and global collaboration.
• Potential for contract extension.

Application Process (15–20 min)

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

Notice: Applications are reviewed daily. Complete the 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