Remote Formal Verification Scientist - Lean 4 & Mathlib

Alignerr Corp.; Cambridge; À distance; GBP 55 000 - 117 000; Plein temps

Résumé du poste

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematics into machine-verifiable knowledge and to push the boundaries of proof assistants. This is a fully remote hourly contract designed for mathematicians who enjoy rigorous proof and mechanized mathematics.

You will work on translating informal arguments into Lean-based formal proofs, collaborate with researchers, and develop highly readable proof scripts following Lean idioms.

Qualifications

• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Strong foundations in rigorous proof writing and mathematical reasoning across algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems - Lean strongly preferred.

Responsabilités

• Translate informal mathematical proofs into Lean 4 (and related proof systems) with clarity, structure, and correctness.
• Analyze generic and domain-specific proofs, identify gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that test the limits of existing proof assistants, especially where automation struggles.
• Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with Lean idioms and mathematical best practices.
• Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
• Formalize classical proofs and compare machine-verifiable structures against textbook arguments.
• Investigate where automated provers break down and articulate why (complexity, missing lemmas, libraries).
• Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics.

Description du poste

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematics into machine-verifiable knowledge and to push the boundaries of proof assistants. This is a fully remote hourly contract designed for mathematicians who enjoy rigorous proof and mechanized mathematics.

You will work on translating informal arguments into Lean-based formal proofs, collaborate with researchers, and develop highly readable proof scripts following Lean idioms.