Remote Lean 4 Formal Methods Researcher

Alignerr Corp.; Charlotte (AR); À distance; USD 83 000 - 152 000; Temps partiel

Résumé du poste

Alignerr is seeking mathematicians and formal verification specialists to translate rigorous human arguments into Lean 4 proofs, working at the edge of automated reasoning. This is a fully remote, flexible hourly contract requiring 10–40 hours per week and centered on precision and verifiability of formal proofs.

Ideal candidates hold a Master’s or higher in Mathematics, Logic, or related fields with strong proof-writing skills and experience with Lean, Coq, Isabelle/HOL, or Agda.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• 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 proof systems — Lean 4 strongly preferred.
• Genuinely enthusiastic about formal verification, proof assistants, and mechanized mathematics.
• Able to take a dense, informal mathematical argument and express it precisely in a form a machine can verify.

Responsabilités

• Translate informal mathematical proofs into Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility.
• Analyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structures.
• Construct formalizations that probe and expose the limits of current proof assistants, especially where automation breaks down.
• Investigate why automated provers fail — complexity barriers, missing lemmas, insufficient libraries — and articulate those findings clearly.
• Collaborate with researchers to design and refine strategies for improving formal verification pipelines.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
• Formalize classical proofs and compare machine-verifiable structures against standard textbook arguments.
• Uncover deeper patterns or generalizations implicit in the original mathematics through the formalization process.

Connaissances

Formal verification

Proof writing

Analytical thinking

Strong communication

Mathematical maturity

Formation

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

Outils

Lean 3/4

Coq

Isabelle/HOL

Agda

Description du poste

Alignerr is seeking mathematicians and formal verification specialists to translate rigorous human arguments into Lean 4 proofs, working at the edge of automated reasoning. This is a fully remote, flexible hourly contract requiring 10–40 hours per week and centered on precision and verifiability of formal proofs.

Ideal candidates hold a Master’s or higher in Mathematics, Logic, or related fields with strong proof-writing skills and experience with Lean, Coq, Isabelle/HOL, or Agda.