Remote Lean 4 Proof Engineer — Mathematical Formalization

Alignerr Corp.; Chicago (IL); Remote; USD 69,000 - 165,000; Full time

Job summary

Alignerr Corp. seeks a Lean 4 Proof Engineer to translate advanced mathematical arguments into machine-verifiable Lean formalizations. You will work remotely, rigorously structuring proofs across algebra, analysis, topology, and logic, while exploring the limits of current proof assistants.

The role emphasizes collaboration with AI researchers, clear proof scripts, and scalable formalization practices in a flexible, hourly contract with 10–40 hours per week.

Qualifications

• Master's degree or higher in mathematics, logic, or related field.
• Strong proof-writing and rigorous reasoning across core areas.
• Hands-on experience with Lean (3 or 4), Coq, Isabelle/HOL or Agda.

Responsibilities

• Translate informal proofs into Lean formalizations with correctness and clarity.
• Analyze proofs across algebra, analysis, topology, logic, and discrete math.
• Construct formalizations to test limits of proof assistants.
• Investigate why automated provers fail and document findings.
• Collaborate with AI researchers to improve verification pipelines.
• Develop readable, reproducible Lean proofs and idioms.
• Offer guidance on lemma selection and structuring techniques.

Skills

Lean experience

Coq familiarity

Isabelle/HOL

Agda

Proof writing

Education

Master's degree or higher in Mathematics, Logic, Theoretical CS

Tools

Mathlib

Job description

Alignerr Corp. seeks a Lean 4 Proof Engineer to translate advanced mathematical arguments into machine-verifiable Lean formalizations. You will work remotely, rigorously structuring proofs across algebra, analysis, topology, and logic, while exploring the limits of current proof assistants.

The role emphasizes collaboration with AI researchers, clear proof scripts, and scalable formalization practices in a flexible, hourly contract with 10–40 hours per week.