Lean Engineer, Formal Mathematics, Lean 4, Mathlib, Theorem Proving
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Job Description
Lean engineer writing and reviewing Lean 4 proofs for a leading AI lab. Formalizing mathematics and improving machine-checked reasoning in frontier AI systems.
Responsibilities:
- Write correct, idiomatic Lean 4 statements and proofs compiling against current mathlib
- Formalize natural-language mathematics, including competition problems, textbook results, and research-level lemmas
- Review AI-generated Lean statements and proofs, identify failures or incorrect conclusions, and provide specific written feedback
- Help define guidelines and rubrics for proof quality, statement fidelity, and mathlib conventions
- Collaborate with Lean engineers and AI lab researchers to maintain consistent standards and improve quality
- Work on projects training and enhancing AI systems
Requirements:
- Hands-on experience writing formal proofs in Lean 4
- Comfort with mathlib and Lean 4 tactics, including finding and using appropriate lemmas
- Strong background in proof-based mathematics, theoretical computer science, or logic through a degree or research record
- Ability to turn written statements and proofs into correct formal statements and proofs that check
- Availability for at least 20 hours per week during weekdays
- Clear written communication and ability to explain proof strategy and formalization choices precisely
- Nice to have: experience with Coq/Rocq, Isabelle, Agda, Haskell, Lean metaprogramming, or AI-for-math work
- Must be able to work without H1-B or STEM OPT support
Benefits:
- W-2 employment, payroll, benefits, and compliance through Cincinnatus LLC or appropriate international entity
- Payments weekly via Stripe or Wise based on services rendered
- Fully remote work on your own schedule
- Opportunity to collaborate with leading researchers and help shape next-generation AI systems
- Referral bonus of up to $1,760 per successful referral
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