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 evaluating AI-generated theorem-proving work.
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 proofs that establish the wrong thing and provide clear written feedback
- Help define guidelines and rubrics for proof quality, statement fidelity, and mathlib conventions
- Collaborate with Lean engineers and lab researchers to maintain consistent standards
- 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 convert written statements and proofs into correct formal statements and checking proofs
- 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
- Unable to support H1-B or STEM OPT candidates at this time
Benefits:
- W-2 employment with Cincinnatus LLC (or appropriate international entity)
- Payroll, benefits, and compliance provided by the employer of record
- Fully remote work
- Flexible schedule / work on your own schedule
- Weekly payments via Stripe or Wise
- Opportunity to collaborate with leading researchers
- Referral payments of up to $1,760 for each successful referral
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