Remote Researcher — Lean 4 & Formal Proofs for AI

Alignerr Corp.; Wellington; Remote; NZD 83,000 - 152,000; Full time

Job summary

Alignerr is seeking a researcher to translate advanced mathematical arguments into Lean 4 proofs for AI training. You will work remotely, translating informal proofs into machine-verifiable formalizations and collaborating with AI researchers to improve verification pipelines.

The role emphasizes rigorous proof development, readability, and extensibility of formal models, with freelance autonomy and flexible hours.

Qualifications

• Master's degree or higher in Mathematics, Logic, or Theoretical CS.
• Strong proof-writing background across algebra, analysis, topology, logic or discrete math.
• Experience with Lean (3 or 4) or comparable systems (Coq/Isabelle/Agda).
• Ability to express dense mathematical arguments for machine verification.

Responsibilities

• Translate informal mathematical proofs into precise, machine-verifiable Lean 4 formalizations.
• Analyze proofs to identify gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that test limits of proof assistants when automation struggles.
• Collaborate with AI researchers to refine formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with best practices and idioms.
• Provide guidance on proof decomposition, lemma selection, and structuring strategies.
• Investigate failure modes of automated provers and library gaps.
• Create Lean proofs revealing deeper patterns or generalizations.

Skills

Lean

Proof writing

Formal verification

Independent work

Communication skills

Education

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

Tools

Lean 3/4

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a researcher to translate advanced mathematical arguments into Lean 4 proofs for AI training. You will work remotely, translating informal proofs into machine-verifiable formalizations and collaborating with AI researchers to improve verification pipelines.

The role emphasizes rigorous proof development, readability, and extensibility of formal models, with freelance autonomy and flexible hours.