Remote Lean 4 Proof Engineer - Formalization for AI

Alignerr Corp.; City of Edinburgh; Remote; GBP 83,000 - 138,000; Part time

Benefits offered by this job

Fully remote

Flexible hours

Freelance autonomy

Job summary

Alignerr is seeking a Lean 4 Proof Engineer to translate dense mathematical proofs into machine-verifiable Lean formalizations. This fully remote contract role invites experts to shape future AI reasoning through formal verification, with 10–40 hours per week flexibility and autonomous project ownership.

Ideal candidates bring a strong mathematics background, hands-on Lean experience, and the ability to decompose complex arguments into clear, structured proofs suitable for machine verification.

Qualifications

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

Responsibilities

• Translate informal mathematical proofs into Lean 4 (and related systems) with emphasis on clarity and correctness.
• Analyze proofs across domains, identify gaps, and formalizable sub-structures.
• Construct formalizations that test and expand the limits of existing proof assistants.
• Collaborate with AI researchers to improve formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with Lean idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques.
• Investigate where automated provers break down and explain why.

Skills

Lean 4

Lean 3

Coq

Isabelle/HOL

Agda

Formal verification

Proof writing

Mathematics

Education

Master's degree in Mathematics or related

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Lean 4 Proof Engineer to translate dense mathematical proofs into machine-verifiable Lean formalizations. This fully remote contract role invites experts to shape future AI reasoning through formal verification, with 10–40 hours per week flexibility and autonomous project ownership.

Ideal candidates bring a strong mathematics background, hands-on Lean experience, and the ability to decompose complex arguments into clear, structured proofs suitable for machine verification.