Researcher — Lean 4 & Formal Proof Systems (AI Training) About The Role What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians and formal verification specialists to translate sophisticated human-written proofs into machine-verifiable Lean 4 formalizations — pushing the boundary of what proof assistants can express, capture, and automate. This is a fully remote, flexible contract role built for researchers who love rigor, structural precision, and working at the frontier of mathematics and computer science.

Organization: Alignerr

Type: Hourly Contract

Location: Remote

Commitment: 10–40 hours/week What You'll Do Translate informal mathematical proofs into clean, well-structured Lean 4 formalizations with an emphasis on clarity and correctness

Analyze domain-specific and general proofs to identify gaps, hidden assumptions, and formalizable sub-structures

Construct formalizations that test the limits of existing proof assistants — especially where automated tools struggle or fail

Investigate breakdown points in automated provers and articulate precisely why they occur (complexity, missing lemmas, library gaps, etc.)

Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms

Collaborate with researchers to design and refine strategies for improving formal verification pipelines

Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models





Formalize classical proofs and surface 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 solid 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 proof assistants — Lean 4 strongly preferred

Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics

Able to take a dense, elegant human argument and express it in a form a machine can verify 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 where automated reasoning frequently fails or requires manual scaffolding

Prior experience with data annotation, data quality, or evaluation systems

Strong written communication skills for explaining formalization decisions, edge cases, and reasoning strategies Why Join Us Work directly on cutting-edge AI research projects alongside leading AI labs

Fully remote and flexible — work when and where it suits you

Freelance autonomy with the structure of meaningful, intellectually demanding work

Contribute to advancing the frontier of what formal verification and AI can achieve together

Potential for ongoing work and contract extension as new projects launch

📌 Researcher - Lean 4 & Formal Proof Systems (Delhi)
🏢 Alignerr
📍 Delhi