Remote Lean 4 Formal Methods Researcher for AI Proofs

Alignerr Corp.; Glasgow; Remote; GBP 55,000 - 110,000; Part time

Job summary

Alignerr is seeking an Applied Formal Methods Researcher to translate complex human-written proofs into machine-verifiable formalizations using Lean 4 and related systems. You will analyze proofs across domains, identify gaps, and design formalizations that push the boundaries of automated reasoning.

This remote hourly contract offers flexible hours (10–40 per week) and collaboration with AI researchers to advance mechanized mathematics.

Qualifications

• Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Hands-on experience with formal proof systems and rigorous proof writing.

Responsibilities

• Translate informal mathematical proofs into precise, machine-verifiable formalizations in Lean 4 (and related proof systems).
• Analyze proofs across domains—identifying hidden assumptions, logical gaps, and formalizable sub-structures.
• Construct formalizations that test and expose the limits of existing proof assistants.
• Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines.
• Develop clean, readable, and reproducible proof scripts aligned with mathematical best practices.
• Guide proof decomposition strategies—including lemma selection and formal modeling decisions.

Skills

Lean 4

Formal verification

Proof systems

Theoretical CS

Education

Master's degree or higher in Mathematics/Logic/Theoretical Computer Science

Tools

Lean 3/4

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking an Applied Formal Methods Researcher to translate complex human-written proofs into machine-verifiable formalizations using Lean 4 and related systems. You will analyze proofs across domains, identify gaps, and design formalizations that push the boundaries of automated reasoning.

This remote hourly contract offers flexible hours (10–40 per week) and collaboration with AI researchers to advance mechanized mathematics.