Remote Lean Proof Architect for AI Reasoning

Alignerr Corp.; United States; Remote; MXN 1,011,000 - 1,770,000; Full time

Benefits offered by this job

Fully remote

Flexible schedule

Job summary

Alignerr Corp. is seeking a Mathematical Formalization Specialist to translate rigorous human arguments into Lean-based machine-verifiable proofs. You will work with AI researchers to refine formal verification strategies while maintaining clean, readable proof scripts.

The role emphasizes deep mathematical knowledge, experience with Lean/Coq/Isabelle/HOL/Agda, and the ability to work independently on complex formalization projects in a fully remote setting.

Qualifications

• 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 math.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems—Lean strongly preferred.
• Deep enthusiasm for formal verification, proof assistants, and mechanized mathematics.
• Ability to translate dense informal arguments into clean, structured, machine-verifiable formalizations.
• Work independently with precision and consistency.

Responsibilities

• Translate informal mathematical proofs into Lean (and related proof assistants) with clarity and correctness.
• Analyze proofs to identify gaps, assumptions, and formalisable sub-structures.
• Construct formalizations that push the limits of proof assistants where tools struggle.
• Collaborate with AI researchers to design verification strategies and pipelines.
• Develop readable, reproducible proof scripts aligned with best practices.
• Advise on proof decomposition, lemmas, and structuring techniques for formal models.
• Investigate where automated provers break down and explain why.

Skills

Lean expertise

Proof writing

Formal verification

Independent worker

Education

Master's degree in Mathematics/Logic/CS

Tools

Coq

Isabelle/HOL

Agda

Lean

Job description

Alignerr Corp. is seeking a Mathematical Formalization Specialist to translate rigorous human arguments into Lean-based machine-verifiable proofs. You will work with AI researchers to refine formal verification strategies while maintaining clean, readable proof scripts.

The role emphasizes deep mathematical knowledge, experience with Lean/Coq/Isabelle/HOL/Agda, and the ability to work independently on complex formalization projects in a fully remote setting.