Lean 4 Formal Methods Researcher — Remote Contract

Alignerr Corp.; Denver (CO); Remote; USD 55,000 - 110,000; Full time

Job summary

Alignerr is seeking Applied Formal Methods Researchers to translate rigorous mathematical arguments into Lean 4 proofs for AI verification. This fully remote hourly contract suits mathematicians who enjoy precision, proof assistants, and impactful work at the frontier of automated reasoning.

You will translate informal proofs, analyze gaps, and develop machine-verifiable formalizations while collaborating with AI researchers to refine verification pipelines. Lean experience is highly preferred.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Proven ability to write rigorous proofs and formal arguments across algebra, analysis, topology, logic, or discrete mathematics.
• Experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof assistants.

Responsibilities

• Translate informal mathematical proofs into machine-verifiable Lean 4 formalizations.
• Analyze proofs to identify gaps, assumptions, and formalizable sub-structures.
• Construct formalizations that stress-test modern proof assistants and explain why automated provers fail.

Skills

Proof writing

Mathematical rigor

Formal reasoning

Education

Master's degree or higher in Mathematics/Logic/Theoretical CS

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking Applied Formal Methods Researchers to translate rigorous mathematical arguments into Lean 4 proofs for AI verification. This fully remote hourly contract suits mathematicians who enjoy precision, proof assistants, and impactful work at the frontier of automated reasoning.

You will translate informal proofs, analyze gaps, and develop machine-verifiable formalizations while collaborating with AI researchers to refine verification pipelines. Lean experience is highly preferred.