Remote Lean 4 Formalization Researcher

Alignerr; Charlotte (AR); On-site; USD 55,000 - 110,000; Full time

Job summary

Alignerr is seeking mathematicians and formal verification specialists to translate rigorous human arguments into machine-verifiable Lean 4 proofs.

This fully remote, flexible hourly contract targets researchers who enjoy precision and bridging human intuition with formal logic. Commitment: 10–40 hours/week, with work spanning collaboration across researchers and proof-decomposition strategies.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical CS or related field.
• Strong proof-writing background across algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean (Lean 3/4) and other proof assistants.

Responsibilities

• Translate informal proofs into Lean 4 formalizations with clarity and correctness.
• Analyze proofs to identify assumptions, gaps, and formalizable sub-structures.
• Construct formalizations that test the limits of current proof assistants.
• Investigate why automated provers fail and document findings clearly.
• Collaborate to improve formal verification pipelines and strategies.
• Guide decomposition, lemma selection, and structuring of formal models.
• Formalize classical proofs and compare machine-verifiable structures to textbook arguments.
• Reveal deeper patterns and generalizations through formalization.

Skills

Lean 4

Formal verification

Mathematics

Proof writing

Education

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

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking mathematicians and formal verification specialists to translate rigorous human arguments into machine-verifiable Lean 4 proofs.

This fully remote, flexible hourly contract targets researchers who enjoy precision and bridging human intuition with formal logic. Commitment: 10–40 hours/week, with work spanning collaboration across researchers and proof-decomposition strategies.