Remote Lean 4 Proof Engineer — Formalization for AI

Alignerr Corp.; Cambridge; Remote; GBP 83,000 - 165,000; Part time

Job summary

Alignerr is seeking a Lean 4 Proof Engineer to translate informal mathematical proofs into machine-checkable formalizations. The role emphasizes rigorous proof construction, leveraging Lean 4 and related proof systems.

Remote contract, 10–40 hours per week, with collaboration across researchers to advance AI-driven formal verification workflows. You will develop readable proof scripts, identify gaps in existing libraries, and help extend formalization capabilities for complex mathematical

Qualifications

• Master's degree or higher in Mathematics, Logic, or related field.
• Strong proof-writing and formalization skills.
• Hands-on experience with Lean/Coq/Isabelle/HOL/Agda.
• Ability to translate informal proofs into machine-checkable form.

Responsibilities

• Translate informal mathematical proofs into Lean 4 (and related proof systems) with emphasis on clarity, structure, and correctness
• Analyze domain-specific and general proofs, identifying hidden assumptions, logical gaps, and formalizable sub-structures
• Construct formalizations that test and extend the capabilities of existing proof assistants — especially where automated tools struggle or fail
• Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines
• Develop readable, reproducible proof scripts that align with mathematical best practices and proof assistant idioms
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
• Investigate where automated provers break down and articulate root causes — complexity, missing lemmas, library gaps, and beyond
• Uncover deeper patterns or generalizations implicit in the original mathematics through formal expression

Skills

Proof writing

Formal verification

Lean 4

Research collaboration

Education

Master's degree or higher in Mathematics/CS

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Lean 4 Proof Engineer to translate informal mathematical proofs into machine-checkable formalizations. The role emphasizes rigorous proof construction, leveraging Lean 4 and related proof systems.

Remote contract, 10–40 hours per week, with collaboration across researchers to advance AI-driven formal verification workflows. You will develop readable proof scripts, identify gaps in existing libraries, and help extend formalization capabilities for complex mathematical