Lean 4 Formalization Specialist — Remote Contract

Alignerr Corp.; Charlotte (AR); On-site; USD 14,000 - 55,000; Part time

Job summary

Alignerr is seeking mathematicians and formal verification specialists to translate rigorous human arguments into Lean 4 proofs. This fully remote, hourly contract role focuses on precision and bridging human intuition with formal logic.

Ideal candidates hold a Master’s or higher in math or related field, with strong proof-writing skills and experience in Lean/Coq/Isabelle. Flexible hours and remote work enable collaboration with researchers globally.

Qualifications

• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Possess a strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean 4 strongly preferred.

Responsibilities

• Translate informal mathematical proofs into clean, structured Lean 4 formalizations with emphasis on clarity, correctness, and reproducibility.
• Analyze proofs across domains — identify hidden assumptions, logical gaps, and formalizable sub-structures.
• Construct formalizations that probe and expose the limits of current proof assistants, especially where automation breaks down.
• Investigate why automated provers fail — complexity barriers, missing lemmas, insufficient libraries — and articulate findings clearly.
• Collaborate with researchers to design and refine strategies for improving formal verification pipelines.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
• Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments.
• Uncover deeper patterns or generalizations implicit in the original mathematics through the formalization process.

Skills

Proof writing

Formal verification enthusiasm

Mathematical maturity

Collaborative skills

Communication skills

Education

Master's degree or higher in Mathematics/Logic/Theoretical CS

Tools

Lean 4

Lean 3

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking mathematicians and formal verification specialists to translate rigorous human arguments into Lean 4 proofs. This fully remote, hourly contract role focuses on precision and bridging human intuition with formal logic.

Ideal candidates hold a Master’s or higher in math or related field, with strong proof-writing skills and experience in Lean/Coq/Isabelle. Flexible hours and remote work enable collaboration with researchers globally.