Formal Verification Scientist; Lean 4 & Mathlib

Overview

Join to apply for the Formal Verification Scientist (Lean 4 & Mathlib) role s range is provided by Alignerr. Your actual pay will be based on your skills and experience — talk with your recruiter to learn more.
Base pay range: $70.00/hr - $150.00/hr location:
Remote. Type:
Hourly Contract. Commitment: 10–40 hours/week.

• Write and formalize advanced mathematical proofs in Lean for cutting-edge AI research. Ideal for mathematicians passionate about formal verification and pushing the limits of modern proof assistants.
• Translate informal mathematical proofs into Lean (and related proof systems) with emphasis on clarity, structure, and correctness.
• Analyze generic and domain-specific proofs, identifying 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 You Might Do: formalize classical proofs and compare machine-verifiable structures against textbook arguments; investigate where automated provers break down, and articulate why (complexity, missing lemmas, insufficient libraries, etc.).

• 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: 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).
• Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.

• 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.

Takes 15-20 min:
Submit your resume, complete a short screening, project matching and onboarding. Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.

• Entry level

• Contract

• Research, Analyst, and Information Technology

• Technology, Information and Internet