Formal Verification Scientist (Lean 4 & Mathlib)

Alignerr; Glasgow; À distance; GBP 83 000 - 131 000; Plein temps

Résumé du poste

Alignerr Corp. seeks a Formal Verification Scientist to translate advanced mathematics into Lean proofs, shaping how AI reasons about truth, proof, and logic.

This fully remote, hourly contract targets mathematicians who love rigorous proof and formalization. You will formalize proofs in Lean 4, analyze cross-domain structures, and contribute to Mathlib-like libraries while collaborating with AI researchers to advance verification pipelines.

Qualifications

• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
• Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda; Lean 4 strongly preferred.
• Genuinely excited by formal verification, proof assistants, and the future of mechanized mathematics.

Responsabilités

• Translate informal mathematical proofs into clean, structured Lean 4 formalizations with emphasis on clarity and correctness.
• Analyze proofs across domains — algebra, analysis, topology, logic — identifying gaps and formalizable sub-structures.
• Push the boundaries of proof assistants by constructing formalizations where automated tools struggle.
• Investigate where automated provers break down and articulate why — missing lemmas and library gaps.
• Develop readable, reproducible proof scripts aligned with Mathlib conventions and best practices.
• Collaborate with AI researchers to design and refine formal verification pipelines.
• Create Lean proofs that surface deeper patterns or generalizations in the original mathematics.
• Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models.

Connaissances

Mathematics

Proof writing

Lean 4

Lean

Coq

Isabelle/HOL

Agda

Formal verification

Formation

Master's degree or higher in Mathematics / Logic / Theoretical CS

Outils

Mathlib / proof libraries

Description du poste

About The Role

What if your deepest mathematical knowledge could directly shape how AI reasons about truth, proof, and logic? We're looking for Formal Verification Scientists to translate advanced human-written mathematics into machine-verifiable Lean proofs — helping map the frontier of what AI can understand, verify, and automate.

This is a fully remote, flexible contract role for mathematicians who live and breathe rigorous proof and want to work at the cutting edge of formal verification and AI research.

• Organization: Alignerr
• Type: Hourly Contract
• Location: Remote
• Commitment: 10–40 hours/week

What You'll Do

• Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and mathematical elegance
• Analyze proofs across domains — algebra, analysis, topology, logic, and beyond — identifying gaps, hidden assumptions, and formalizable sub-structures
• Push the boundaries of existing proof assistants by constructing formalizations where automated tools struggle or fail
• Investigate where automated provers break down and articulate precisely why — missing lemmas, library gaps, complexity barriers
• Develop highly readable, reproducible proof scripts aligned with Mathlib conventions and best practices
• Collaborate with AI researchers to design and refine formal verification pipelines
• Create Lean proofs that surface deeper patterns or generalizations implicit in the original mathematics
• Provide expert guidance on proof decomposition, lemma selection, and structuring strategies for formal models

Who You Are

• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
• Possess 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 a comparable proof assistant — Lean 4 strongly preferred
• Genuinely excited by formal verification, proof assistants, and the future of mechanized mathematics
• Able to bridge the gap between informal mathematical intuition and precise formal structure
• Thrive working independently on deep, intellectually demanding problems

Nice to Have

• Experience with large-scale formalization projects such as Mathlib
• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Exposure to theorem provers in settings where automated reasoning frequently requires manual scaffolding
• Prior experience with data annotation, evaluation systems, or proof quality assessment
• Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies

Why This Role

This isn't routine annotation work. You'll be operating at the true frontier — taking dense, elegant mathematical arguments and expressing them in forms a machine can verify. Every proof you formalize contributes directly to how the next generation of AI systems understands and reasons about mathematics.

• Work on research-grade problems that matter at the intersection of mathematics and AI
• Fully remote and flexible — structure your own schedule around deep work
• Freelance autonomy with the intellectual depth of a research environment
• Collaborate with world-class AI research teams and labs
• Potential for ongoing work and contract extension as projects evolve