Lean Proof Architect — Remote, Flexible Contract

Alignerr Corp.; Pittsburgh (Allegheny County); On-site; USD 83,000 - 193,000; Part time

Job summary

Alignerr seeks a Mathematical Formalization Specialist to translate human proofs into Lean, ensuring clarity and correctness. You will analyze complex proofs, identify gaps, and push the boundaries of current proof assistants with the research team.

The role is a fully remote hourly contract with flexible scheduling, offering opportunities to contribute to AI research at the frontier of mechanized mathematics.

Qualifications

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

Responsibilities

• Translate informal proofs into Lean proofs with emphasis on clarity, structure, and correctness.
• Analyze domain-specific proofs to identify gaps and formalizable sub-structures.
• Construct formalizations to test proof assistants’ limits, especially where automation breaks down.
• Collaborate with researchers to improve formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with best practices and proof idioms.
• Provide guidance on proof decomposition, lemma selection, and structuring strategies.

Skills

Lean proof language

Formal verification

Proof scripting

Mathematical rigor

Independent work

Education

Master or higher in Mathematics/Logic/Theoretical CS

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr seeks a Mathematical Formalization Specialist to translate human proofs into Lean, ensuring clarity and correctness. You will analyze complex proofs, identify gaps, and push the boundaries of current proof assistants with the research team.

The role is a fully remote hourly contract with flexible scheduling, offering opportunities to contribute to AI research at the frontier of mechanized mathematics.