Remote Lean 4 Proof Engineer

Alignerr; United States; On-site; USD 83,000 - 165,000; Part time

Benefits offered by this job

Fully remote

Flexible hours

Freelance autonomy

Contract extension potential

Job summary

Alignerr is seeking a Lean 4 Proof Engineer to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs, working remotely as an hourly contractor. You will analyze proofs, extend proof assistants, and collaborate with researchers to refine verification strategies while ensuring readable, reusable proof scripts.

The role emphasizes formalization across algebra, analysis, topology, logic, and discrete math, with Lean 4 strongly preferred and experience with other proof

Qualifications

• Master's degree or higher in Mathematics or a closely related field.
• Strong background in rigorous proof writing across algebra, analysis, logic, or discrete math.
• Hands-on experience with Lean (Lean 3 or 4) or other proof systems.
• Ability to translate informal arguments into machine-verifiable Lean proofs.

Responsibilities

• Translate informal mathematical proofs into Lean 4 formalizations.
• Analyze proofs across domains — identify gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that test and extend the limits of existing proof assistants.
• Investigate where automated provers break down and articulate underlying reasons.
• Collaborate with researchers to design and refine formal verification strategies.
• Develop readable, reproducible proof scripts aligned with best practices and idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring.
• Formalize classical proofs and compare machine-verifiable structures to textbook arguments.
• Create Lean proofs that reveal deeper patterns or generalizations.

Skills

Lean (Lean 4 preferred)

Formal verification

Proof scripting

Mathematical reasoning

Education

Master's degree or higher in Mathematics, Logic, Theoretical CS, or related field

Tools

Lean 4

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Lean 4 Proof Engineer to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs, working remotely as an hourly contractor. You will analyze proofs, extend proof assistants, and collaborate with researchers to refine verification strategies while ensuring readable, reusable proof scripts.

The role emphasizes formalization across algebra, analysis, topology, logic, and discrete math, with Lean 4 strongly preferred and experience with other proof