Remote Lean Proof Specialist — Formalize Advanced Math

Alignerr Corp.

Seattle (WA)

Remote

USD 83,000 - 165,000

Part time

2 days ago
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Benefits offered by this job

Fully remote
Flexible schedule
Freelance autonomy
Potential contract extension

Job summary

Alignerr seeks a Mathematical Formalization Specialist to translate informal proofs into Lean and related systems, strengthening machine-verifiable mathematics. You will analyze proofs, build formalizations, and collaborate to improve verification pipelines.

The role emphasizes rigorous proof writing across algebra, analysis, topology, and logic, with hands-on experience in Lean, Coq, Isabelle/HOL, or Agda. Remote, hourly contract, flexible schedule.

Qualifications

  • MSc or higher in mathematics, logic, or theoretical CS.
  • Strong formal proof-writing experience across algebra, analysis, topology or logic.
  • Hands-on experience with Lean, Coq, Isabelle/HOL or Agda.

Responsibilities

  • Translate informal proofs into Lean and related systems with clarity and correctness.
  • Analyze proofs to find gaps, hidden assumptions, and formalizable parts.
  • Create formalizations that push current proof assistants to their limits.
  • Collaborate to design strategies for improving formal verification pipelines.
  • Develop readable proof scripts aligned with best practices and idioms.
  • Guide on proof decomposition, lemma selection, and structuring techniques.
  • Investigate why automated provers fail and document gaps.

Skills

Lean
Coq
Isabelle/HOL
Agda
Formal proof
Proof writing
Mathematics

Education

Master's or higher in Mathematics

Tools

Lean 3/4
Coq
Isabelle/HOL
Agda

Job description

Alignerr seeks a Mathematical Formalization Specialist to translate informal proofs into Lean and related systems, strengthening machine-verifiable mathematics. You will analyze proofs, build formalizations, and collaborate to improve verification pipelines.

The role emphasizes rigorous proof writing across algebra, analysis, topology, and logic, with hands-on experience in Lean, Coq, Isabelle/HOL, or Agda. Remote, hourly contract, flexible schedule.

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