Researcher - Lean 4 & Formal Proof Systems
Researcher - Lean 4 & Formal Proof Systems
What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for mathematicians and formal verification specialists to translate sophisticated human-written proofs into machine-verifiable Lean 4 formalizations — working at the very edge of what proof assistants can currently express and automate.
This is a fully remote, flexible contract role designed for researchers who love rigor, thrive on precision, and want their work to matter at the frontier of AI and mechanized mathematics.
• Organization: Alignerr
• Type: Hourly Contract
• Location: Remote
• Commitment: 10–40 hours/week
What You'll Do
• Translate informal mathematical proofs into Lean 4 (and related systems) with a focus on clarity, structure, and correctness
• Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
• Construct formalizations that test and push the limits of existing proof assistants, especially where automation fails
• Investigate why automated provers break down — complexity, missing lemmas, insufficient libraries — and document your findings
• Develop clean, reproducible proof scripts aligned with mathematical best practices and Lean idioms
• Advise on proof decomposition, lemma selection, and structuring strategies for formal models
• Collaborate with researchers to design and evaluate approaches for improving formal verification pipelines
• Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
Who You Are
• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
• Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
• Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean 4 strongly preferred
• Deeply passionate about formal verification, proof assistants, and the future of mechanized mathematics
• Able to translate dense, informal mathematical arguments into clean, structured, machine-verifiable proofs
• Comfortable working independently and asynchronously in a remote environment
Nice to Have
• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Experience contributing to large-scale formalization projects such as Mathlib
• Exposure to theorem provers in settings where automated reasoning frequently fails or requires manual scaffolding
• Prior experience with data annotation, evaluation systems, or AI training workflows
• Strong communication skills for articulating formalization decisions, edge cases, and proof strategies
Why This Role Stands Out
• Work on problems that sit at the genuine frontier of formal verification and AI research
• Collaborate with teams at leading AI research labs on cutting-edge projects
• Gain direct exposure to how advanced AI models are trained and evaluated
• Fully remote and asynchronous — work on your own schedule, from anywhere
• Freelance autonomy with meaningful, intellectually rich work
• Potential for ongoing contract extension as new projects launch
Apply tot his job
Apply To this Job
What if your mathematical expertise could directly shape the future of AI reasoning? We're looking for mathematicians and formal verification specialists to translate sophisticated human-written proofs into machine-verifiable Lean 4 formalizations — working at the very edge of what proof assistants can currently express and automate.
This is a fully remote, flexible contract role designed for researchers who love rigor, thrive on precision, and want their work to matter at the frontier of AI and mechanized mathematics.
• Organization: Alignerr
• Type: Hourly Contract
• Location: Remote
• Commitment: 10–40 hours/week
What You'll Do
• Translate informal mathematical proofs into Lean 4 (and related systems) with a focus on clarity, structure, and correctness
• Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
• Construct formalizations that test and push the limits of existing proof assistants, especially where automation fails
• Investigate why automated provers break down — complexity, missing lemmas, insufficient libraries — and document your findings
• Develop clean, reproducible proof scripts aligned with mathematical best practices and Lean idioms
• Advise on proof decomposition, lemma selection, and structuring strategies for formal models
• Collaborate with researchers to design and evaluate approaches for improving formal verification pipelines
• Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
Who You Are
• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
• Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
• Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable formal systems — Lean 4 strongly preferred
• Deeply passionate about formal verification, proof assistants, and the future of mechanized mathematics
• Able to translate dense, informal mathematical arguments into clean, structured, machine-verifiable proofs
• Comfortable working independently and asynchronously in a remote environment
Nice to Have
• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Experience contributing to large-scale formalization projects such as Mathlib
• Exposure to theorem provers in settings where automated reasoning frequently fails or requires manual scaffolding
• Prior experience with data annotation, evaluation systems, or AI training workflows
• Strong communication skills for articulating formalization decisions, edge cases, and proof strategies
Why This Role Stands Out
• Work on problems that sit at the genuine frontier of formal verification and AI research
• Collaborate with teams at leading AI research labs on cutting-edge projects
• Gain direct exposure to how advanced AI models are trained and evaluated
• Fully remote and asynchronous — work on your own schedule, from anywhere
• Freelance autonomy with meaningful, intellectually rich work
• Potential for ongoing contract extension as new projects launch
Apply tot his job
Apply To this Job