Remote Lean 4 Formal Methods Researcher — AI Proofs

Alignerr Corp.; Sheffield (TX); On-site; USD 96,000 - 207,000; Part time

Job summary

Alignerr is seeking an Applied Formal Methods Researcher to formalize challenging mathematical proofs in Lean 4, contributing directly to frontier AI research. This fully remote hourly role offers flexible hours (10–40/week) and a chance to shape mechanized mathematics at the edge of AI development.

You will translate informal proofs into machine-verifiable formalizations, analyze complex proofs, and push the boundaries of automated reasoning while collaborating with researchers on novel

Qualifications

• Must hold a Master’s degree or higher in Mathematics, Logic, Theoretical CS, or a 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) or other proof systems (Coq, Isabelle/HOL, Agda).
• Genuine enthusiasm for formal verification and mechanized mathematics.
• Ability to translate dense human arguments into machine-verifiable formalizations.
• Comfortable working independently and asynchronously in a remote setting.

Responsibilities

• Translate informal proofs into precise, machine-verifiable Lean 4 formalizations with clarity and correctness.
• Analyze complex proofs for hidden assumptions, gaps, and encodable sub-structures.
• Construct formalizations that stress-test proof assistants where tools struggle.
• Explore boundaries of automated reasoning and document prover limitations clearly.
• Develop readable, reproducible proof scripts following Lean idioms and best practices.
• Collaborate to improve formal verification pipelines and strategies.

Education

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

Rigorous proof writing

Formal verification passion

Independent remote work

Tools

Lean (Lean 3/4)

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking an Applied Formal Methods Researcher to formalize challenging mathematical proofs in Lean 4, contributing directly to frontier AI research. This fully remote hourly role offers flexible hours (10–40/week) and a chance to shape mechanized mathematics at the edge of AI development.

You will translate informal proofs into machine-verifiable formalizations, analyze complex proofs, and push the boundaries of automated reasoning while collaborating with researchers on novel