Formal verification meets AI research in this fully remote Alignerr contract. Use Lean 4 to test machine reasoning and expose proof limitations.
This hourly engagement suits formal verification specialists and mathematicians with rigorous proof-writing foundations. The work involves translating textbook arguments, guiding proof decomposition, and examining where automated reasoning fails. Lean 4 is strongly preferred, alongside experience with comparable proof assistants.
Key Responsibilities:
- Formalize classical proofs and compare machine-verifiable structures
- Guide lemma selection, proof decomposition, and model structure
- Develop proofs revealing mathematical patterns and generalizations
- Analyze automated prover failures and explain their causes
- Refine formal verification strategies with researchers
Requirements:
- Master's degree or higher in mathematics, logic, or theoretical computer science
- Rigorous proof experience in algebra, analysis, topology, logic, or discrete mathematics
- Hands-on Lean experience, with Lean 4 strongly preferred
- Ability to express dense informal arguments formally
- Knowledge of type theory or proof automation is practical
Bring proof-assistant experience and mathematical analysis to formal verification work examining the boundaries of automated reasoning.