Remote Lean 4 Formal Verification Architect

Alignerr Corp.; United States; Remote; USD 83,000 - 152,000; Part time

Benefits offered by this job

Fully remote

Flexible hours

Freelance autonomy

Job summary

Alignerr is seeking a Formal Verification Scientist to translate rigorous mathematics into Lean 4 proofs, advancing how AI systems verify reasoning. This is a fully remote, hourly contract for mathematicians who enjoy formal reasoning and machine-verifiable arguments.

You will convert informal proofs, analyze gaps, and build Lean scripts in collaboration with AI researchers, contributing to frontier verification pipelines and reusable libraries.

Qualifications

• Hold a 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 (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems — Lean 4 preferred.

Responsibilities

• Translate informal mathematical proofs into Lean 4 (and related proof systems) with emphasis on clarity and correctness.
• Analyze generic and domain-specific proofs, identifying hidden assumptions and formalizable sub-structures.
• Construct formalizations that push the limits of proof assistants and tooling.

Skills

Lean

Formal verification

Proof engineering

Mathematics

Independent work

Communication

Education

Master's degree or higher

Tools

Lean 4

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Formal Verification Scientist to translate rigorous mathematics into Lean 4 proofs, advancing how AI systems verify reasoning. This is a fully remote, hourly contract for mathematicians who enjoy formal reasoning and machine-verifiable arguments.

You will convert informal proofs, analyze gaps, and build Lean scripts in collaboration with AI researchers, contributing to frontier verification pipelines and reusable libraries.