Lean 4 Proof Engineer for AI Math Lab

Mercor; San Francisco (CA); A distancia; USD 96.000 - 165.000; A tiempo parcial

Ventajas ofrecidas por este puesto de trabajo

W-2 employment

Placement at AI lab

Descripción de la vacante

Cincinnatus LLC is seeking Lean engineers and formal mathematicians to help its AI lab state and prove mathematics in Lean. You will write Lean 4 proofs, formalize informal math, and review AI-generated proofs to ensure correctness and fidelity.

This part-time role requires 20–40 hours per week, with W-2 employment through Cincinnatus LLC and potential placement at a leading AI lab as part of the extended workforce.

Formación

• Hands-on experience writing formal proofs in Lean 4.
• Comfort with mathlib and Lean 4 tactics, and with finding and using the right lemmas.
• A strong background in proof-based mathematics, theoretical computer science or logic, through a degree or a research record.
• The ability to turn a written statement and proof into a correct formal statement and a proof that checks.
• Ability to engage reliably for at least 20 hours/week during weekdays.
• Clear written communication and the ability to explain proof strategy and formalization choices precisely.

Responsabilidades

• Write correct, idiomatic Lean 4 statements and proofs that compile against current mathlib, across algebra, analysis, number theory, combinatorics and logic.
• Formalize natural-language mathematics, from competition problems and textbook results to research-level lemmas, paying close attention to whether the formal statement matches the original.
• Review AI-generated Lean statements and proofs, find where they fail or prove the wrong thing, and give clear, specific written feedback.
• Help define guidelines and rubrics for proof quality, statement fidelity and mathlib conventions.
• Collaborate with other Lean engineers and the lab's researchers to keep standards consistent and keep raising the quality bar.

Conocimientos

Lean 4 proofs

mathlib familiarity

Lean tactics

proof-based mathematics

clear written communication

Educación

Degree in mathematics / theoretical CS / logic

Herramientas

mathlib

Lean library

Coq/Rocq exposure

Lean metaprogramming

Descripción del empleo

Cincinnatus LLC is seeking Lean engineers and formal mathematicians to help its AI lab state and prove mathematics in Lean. You will write Lean 4 proofs, formalize informal math, and review AI-generated proofs to ensure correctness and fidelity.

This part-time role requires 20–40 hours per week, with W-2 employment through Cincinnatus LLC and potential placement at a leading AI lab as part of the extended workforce.