Formal Verification Scientist (Lean 4 & Mathlib)

Formal Verification Scientist (Lean 4 & Mathlib)

Full-Time Remote
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About The Role

What if your deep mathematical training could directly shape how AI reasons about proofs — and push the boundaries of what machines can verify? We're looking for Formal Verification Scientists to translate complex mathematical arguments into precise, machine-verifiable Lean 4 formalizations for cutting-edge AI research.

About The Role

What if your deep mathematical training could directly shape how AI reasons about proofs — and push the boundaries of what machines can verify? We're looking for Formal Verification Scientists to translate complex mathematical arguments into precise, machine-verifiable Lean 4 formalizations for cutting-edge AI research.

  • Organization: Alignerr
  • Type: Hourly Contract
  • Location: Remote
  • Commitment: 10–40 hours/week

What You'll Do

  • Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
  • Analyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures
  • Construct formalizations that test the limits of existing proof assistants — especially where tools struggle or fail
  • Investigate where automated provers break down and articulate the underlying reasons (complexity, missing lemmas, insufficient libraries, etc.)
  • Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
  • Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
  • Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models

Who You Are

  • Holds a 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 — Lean strongly preferred
  • Able to translate informal mathematical arguments into precise, well‑structured formal proofs
  • Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
  • Detail‑oriented, methodical, and comfortable working independently in an async environment

Nice to Have

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

Why Join Us

  • Work on cutting‑edge AI research projects alongside leading AI labs
  • Fully remote and flexible — work when and where it suits you
  • Freelance autonomy with the structure of meaningful, intellectually stimulating work
  • Contribute directly to mapping the frontier of what formal verification can express, capture, and automate
  • Potential for ongoing work and contract extension as new projects launch
  • Collaborate with a global team of researchers and mathematicians pushing the limits of AI and formal reasoning

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Formal Verification Scientist (Lean 4 & Mathlib) employer: Alignerr Corp.

Join a leading global AI research firm that values innovation and collaboration, offering a dynamic remote work environment for an Applied Physicist. With competitive pay, flexible scheduling, and a strong emphasis on employee growth, this role provides the opportunity to engage in cutting-edge projects while contributing to the advancement of AI technology. Experience a supportive culture that encourages creativity and professional development, making it an ideal place for those passionate about physics and AI.

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Contact Details:

Alignerr Corp. Recruitment Team