Remote Lean 4 Proof Engineer for Mathematical Formalization

Alignerr; Birmingham; À distance; GBP 83 000 - 152 000; Temps partiel

Avantages offerts par ce poste

Remote work

Flexible hours

Contractor autonomy

Résumé du poste

Alignerr is seeking a Lean 4 Proof Engineer to translate rigorous mathematical arguments into machine-verifiable formalizations. You will work at the edge of what proof assistants can express, ensuring correctness, clarity, and reproducibility in Lean 4 formalizations.

The role is a fully remote, hourly contract for mathematicians who value precision, structure, and the future of mechanized mathematics. Expect 10-40 hours per week with flexible scheduling and collaboration with AI researchers.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Rigorous proof writer with deep experience across areas such as algebra, analysis, topology, logic, or discrete mathematics.
• Hands-on practitioner with Lean (Lean 3 or Lean 4), with strong preference for Lean 4 experience.
• Genuinely excited about formal verification, proof assistants and the frontier of mechanized mathematics.
• Able to take dense, informal mathematical arguments and render them into precise, structured formal proofs.
• Self-directed and comfortable working independently in an asynchronous environment.

Responsabilités

• Translate informal mathematical proofs into clean, structured Lean 4 formalizations - with a focus on correctness, clarity, and reproducibility.
• Analyze proofs across domains to identify hidden assumptions, logical gaps, and formalizable substructures.
• Construct formalizations that probe and stress-test the limits of existing proof assistants.
• Investigate where automated provers break down - and articulate precisely why (complexity, missing lemmas, insufficient libraries, etc.).
• Collaborate with AI researchers to design and refine formal verification pipelines.
• Apply expert judgment in proof decomposition, lemma selection, and structuring strategies.
• Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics.
• Compare machine-verifiable structures against classical textbook arguments.

Connaissances

Lean experience

Proof writing

Formal verification

Independent work

Mathematics background

Formation

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

Outils

Coq/Isabelle/Agda

Description du poste

Alignerr is seeking a Lean 4 Proof Engineer to translate rigorous mathematical arguments into machine-verifiable formalizations. You will work at the edge of what proof assistants can express, ensuring correctness, clarity, and reproducibility in Lean 4 formalizations.

The role is a fully remote, hourly contract for mathematicians who value precision, structure, and the future of mechanized mathematics. Expect 10-40 hours per week with flexible scheduling and collaboration with AI researchers.