Remote Lean 4 Proof Engineer for Formalization

Alignerr Corp.; Charlotte (AR); Remote; USD 69.000 - 124.000; Vollzeit

Zusammenfassung

Alignerr is seeking a Lean 4 Proof Engineer to formalize mathematical arguments for AI training. You will translate informal proofs into precise, machine-verifiable Lean 4 formalizations with emphasis on clarity, structure, and correctness.

You will analyze proofs, construct robust formalizations, and collaborate with AI researchers to improve verification pipelines. This remote hourly contract offers 10–40 hours/week and potential project extensions.

Qualifikationen

• Master's degree or higher in Mathematics, Logic, or related field.
• Strong proof-writing and formalization skills across algebra, analysis, topology, logic.
• Experience with Lean or other proof assistants.
• Ability to translate informal proofs into machine-verifiable formalizations.

Aufgaben

• Translate informal mathematical proofs into precise, machine-verifiable Lean 4 formalizations, with an emphasis on clarity, structure, and correctness.
• Analyze generic and domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that test the limits of existing proof assistants—especially where automated tools struggle or fail entirely.
• Collaborate with AI researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
• Investigate where automated provers break down and articulate why—complexity, missing lemmas, insufficient libraries, and beyond.
• Reveal deeper patterns or generalizations implicit in the original mathematics through your formalizations.

Kenntnisse

Proof writing

Mathematical reasoning

Research collaboration

Communication

Ausbildung

Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or related field

Tools

Lean (Lean 3/4)

Coq

Isabelle/HOL

Agda

Jobbeschreibung

Alignerr is seeking a Lean 4 Proof Engineer to formalize mathematical arguments for AI training. You will translate informal proofs into precise, machine-verifiable Lean 4 formalizations with emphasis on clarity, structure, and correctness.

You will analyze proofs, construct robust formalizations, and collaborate with AI researchers to improve verification pipelines. This remote hourly contract offers 10–40 hours/week and potential project extensions.