Remote Formal Verification Scientist (Lean 4 & Mathlib)

Alignerr Corp.; Wellington; Remote; NZD 149,000 - 298,000; Part time

Benefits offered by this job

Fully remote

Flexible schedule

Freelance autonomy

Work on frontier AI research

Job summary

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematics into Lean 4 proofs for AI reasoning about truth and knowledge. This is a fully remote, hourly contract role designed for mathematicians passionate about rigorous proof, formal systems, and mechanized mathematics.

As a key collaborator with AI researchers, you will formalize proofs, analyze sub-structures, and push proof assistants beyond current capabilities while maintaining machine-verifiable precision.

Qualifications

• Master's degree or higher in Mathematics, Logic, or related field.
• Strong background in rigorous proof writing and formal systems.
• Experience with Lean, Coq, Isabelle/HOL or similar tools.
• Ability to translate informal arguments into machine-verifiable proofs.

Responsibilities

• Translate informal mathematical proofs into clean Lean 4 formalizations with clarity and correctness.
• Analyze proofs to identify hidden assumptions, gaps, and formalizable sub-structures.
• Push the boundaries of proof assistants on hard problems where automation struggles.
• Explain why automated provers fail due to complexity, lemmas, or library gaps.
• Formalize classical proofs and compare machine-verifiable structures to textbook arguments.
• Uncover deeper patterns and generalizations in original arguments.
• Collaborate with AI researchers to design and evaluate formal verification pipelines.
• Guide proof decomposition, lemma selection, and structuring strategies for formal models.

Skills

Lean 4

Coq

Isabelle/HOL

Agda

Formal verification

Mathematical rigor

Proof decomposition

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 a Formal Verification Scientist to translate advanced mathematics into Lean 4 proofs for AI reasoning about truth and knowledge. This is a fully remote, hourly contract role designed for mathematicians passionate about rigorous proof, formal systems, and mechanized mathematics.

As a key collaborator with AI researchers, you will formalize proofs, analyze sub-structures, and push proof assistants beyond current capabilities while maintaining machine-verifiable precision.