Remote Lean 4 Proof Architect — Formal Verification & Math

Alignerr Corp.; United States; On-site; MXN 1,018,000 - 3,053,000; Part time

Job summary

Alignerr Corp. is seeking a Lean 4 Proof Engineer to translate advanced mathematics into formal Lean proofs. The role emphasizes rigorous proof construction, collaboration with AI researchers, and creating readable proof scripts that adhere to formal verification best practices.

The position is a remote hourly contract with flexible hours and the opportunity to work on cutting-edge formalization projects and large-scale proof systems.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Strong proof-writing across algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems.
• Passion for formal verification and mechanized mathematics.
• Ability to translate dense informal arguments into clean formal proofs.

Responsibilities

• Translate informal proofs into Lean 4 formalizations with clarity, correctness, and structure.
• Analyze domain-specific and general proofs to identify gaps and formalizable sub-structures.
• Construct formalizations that test the limits of proof assistants where automation struggles.
• Collaborate with AI researchers to design, refine, and evaluate verification strategies.
• Develop readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques.
• Investigate where automated provers break down and articulate underlying reasons.
• Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics.

Skills

Lean

Proof assistants

Mathematics

Formal verification

Coq

Isabelle/HOL

Agda

Education

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

Tools

Coq

Isabelle/HOL

Agda

Job description

Alignerr Corp. is seeking a Lean 4 Proof Engineer to translate advanced mathematics into formal Lean proofs. The role emphasizes rigorous proof construction, collaboration with AI researchers, and creating readable proof scripts that adhere to formal verification best practices.

The position is a remote hourly contract with flexible hours and the opportunity to work on cutting-edge formalization projects and large-scale proof systems.