Remote Lean Formalization Specialist for Proof Systems

Alignerr Corp.; Seattle (WA); Remote; USD 83,000 - 165,000; Part time

Job summary

Alignerr is seeking a Mathematical Formalization Specialist to translate informal proofs into Lean and related systems. You will work on machine-verifiable mathematics and contribute to parsing and structuring complex arguments for formal proof environments.

This is a fully remote hourly contract. You will collaborate with researchers, test proof strategies, and document clear, readable proof scripts while advancing the capabilities of formal verification pipelines.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or closely related field.
• Hands-on experience with Lean (Lean 3 or Lean 4) or other proof systems like Coq, Isabelle/HOL, or Agda.
• Ability to translate informal mathematical arguments into clean, structured formal proofs.
• Strong communication skills to explain formalization decisions and edge cases.

Responsibilities

• Translate informal mathematical proofs into Lean (and related proof systems) with clarity and correctness.
• Analyze generic and domain-specific proofs to identify gaps and formalizable sub-structures.
• Construct formalizations that test the limits of existing proof assistants.
• Collaborate with researchers to refine strategies for improving formal verification pipelines.
• Develop readable, reproducible proof scripts aligned with proof assistant idioms.
• Provide guidance on proof decomposition and lemma selection for formal models.
• Investigate why automated provers break down and articulate the causes.

Skills

Lean / formal proof systems experience

Formal verification

Proof writing

Mathematics / Logic

Communication skills

Education

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

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Mathematical Formalization Specialist to translate informal proofs into Lean and related systems. You will work on machine-verifiable mathematics and contribute to parsing and structuring complex arguments for formal proof environments.

This is a fully remote hourly contract. You will collaborate with researchers, test proof strategies, and document clear, readable proof scripts while advancing the capabilities of formal verification pipelines.