Remote Researcher: Lean 4 & Formal Proof Systems

Alignerr Corp.; Brisbane; Remote; AUD 83,000 - 131,000; Part time

Job summary

Alignerr is seeking a Researcher to translate informal mathematical proofs into Lean 4 and related proof systems for AI training. You will express dense arguments in machine-verifiable form with emphasis on structure and correctness.

Responsibilities include analyzing proofs across domains, identifying gaps, and constructing formalizations that push proof assistants. Collaboration aims to improve verification pipelines and reproducible scripts.

Qualifications

• Master's degree or higher in Mathematics, Logic, or Theoretical CS.
• Strong proof-writing background across algebra/analysis/topology/logical domains.
• Hands-on experience with Lean, Coq, Isabelle/HOL, or Agda.

Responsibilities

• Translate informal proofs into Lean 4 proofs with clarity and correctness.
• Analyze proofs to find gaps, assumptions, and formalizable sub-structures.
• Construct formalizations that test proof assistants' limits and automation.
• Collaborate to improve verification pipelines and strategies.
• Develop readable proof scripts aligned with mathematical best practices.

Skills

Lean 4

Formal verification

Proof writing

Mathematical reasoning

Education

Master's degree in Mathematics or related field

Tools

Lean (Lean 3/4)

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Researcher to translate informal mathematical proofs into Lean 4 and related proof systems for AI training. You will express dense arguments in machine-verifiable form with emphasis on structure and correctness.

Responsibilities include analyzing proofs across domains, identifying gaps, and constructing formalizations that push proof assistants. Collaboration aims to improve verification pipelines and reproducible scripts.