Lean Proof Architect — Remote Formalization Expert

Alignerr; Pittsburgh (Allegheny County); On-site; USD 83,000 - 124,000; Full time

Job summary

Alignerr seeks a Mathematical Formalization Specialist to translate informal arguments into Lean proofs (Lean 3/4). You will analyze proofs, identify gaps, and develop formalizations that test proof assistants’ limits, collaborating with AI researchers to improve verification pipelines.

The role emphasizes precision, structure, and independent work in a fully remote, flexible contract. Master's or higher in Mathematics or related fields is required, with hands-on Lean or similar systems

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 (strongly preferred), Coq, Isabelle/HOL, Agda, or comparable formal proof systems.

Responsibilities

• Translate informal mathematical proofs into Lean proofs with emphasis on clarity, structure, and correctness.
• Analyze domain-specific proofs to identify gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that probe the limits of proof assistants, especially where automation breaks down.

Skills

Lean

Formal proof writing

Analytical thinking

Education

Master's degree in Mathematics/Logic/Theoretical CS

Tools

Lean (Lean 3/4)

Coq

Isabelle/HOL

Agda

Job description

Alignerr seeks a Mathematical Formalization Specialist to translate informal arguments into Lean proofs (Lean 3/4). You will analyze proofs, identify gaps, and develop formalizations that test proof assistants’ limits, collaborating with AI researchers to improve verification pipelines.

The role emphasizes precision, structure, and independent work in a fully remote, flexible contract. Master's or higher in Mathematics or related fields is required, with hands-on Lean or similar systems