Remote Lean 4 Proof Engineer — Formalization Expert

Alignerr Corp.

Glasgow

Remote

GBP 83,000 - 165,000

Part time

4 hours ago

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Job summary

Alignerr is seeking a Lean 4 Proof Engineer to formalize advanced mathematics into machine-verified Lean code. This remote contract role focuses on precision, structure, and sound argumentation, translating informal proofs into formal scripts and exploring the limits of proof assistants.

You will work with AI researchers to improve verification pipelines and contribute to high-impact formalization projects in a fully remote setting.

Qualifications

Master's degree or higher in Mathematics, Logic, or theoretical computer science.
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 systems.
Ability to translate informal proofs into machine-verifiable Lean formalizations.
Interest in AI research and collaboration on verification pipelines.

Responsibilities

Translate informal proofs into Lean 4 formalizations with emphasis on correctness and clarity.
Analyze proofs to identify assumptions, gaps, and sub-structures.
Construct formalizations that test and expose the limits of existing proof assistants.
Collaborate with AI researchers to design and evaluate verification strategies.
Develop readable, reproducible Lean scripts aligned with formal practices.
Guide proof decomposition, lemma selection, and structuring techniques for formal models.
Investigate where automated provers break down and explain why.
Create Lean proofs that reveal deeper patterns in the original mathematics.