Overview
At Alignerr, we partner with the world’s leading AI research teams and labs to build and train cutting-edge AI models. This role focuses on translating human-written mathematical arguments into precise, machine-verifiable formalizations using Lean.
Position
Title: Formal Verification Scientist (Lean 4 & Mathlib)
Organization: Alignerr
Type: Hourly Contract
Location: Remote
Commitment: 10–40 hours/week
Compensation: $70–$150 /hour
Base pay range: $70.00/hr - $150.00/hr
Role Overview
We are seeking mathematicians with deep training in rigorous proof construction and hands-on experience with formal proof languages, especially Lean. This role sits at the intersection of mathematics and computer science, focusing on translating human-written mathematical arguments into precise, machine-verifiable formalizations. You will work on proofs that often lie beyond the current capabilities of automated provers, helping us map the frontier of what formal verification can express, capture, and automate.
What You’ll Do
* Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness.
* Analyze generic and domain-specific proofs, identifying gaps, hidden assumptions, and formalizable sub-structures.
* Construct formalizations that test the limits of existing proof assistants, especially where tools struggle or fail.
* Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
* Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.
* Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
* Sample Work You Might Do: Formalize classical proofs and compare machine-verifiable structures against textbook arguments; investigate where automated provers break down and articulate why; create Lean proofs that reveal deeper patterns or generalizations inherent in the original mathematics.
Requirements
* Master’s degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
* Strong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math.
* Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems, with Lean strongly preferred.
* Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics.
* Ability to translate informal arguments into clean, structured formal proofs.
Preferred
* Prior experience with data annotation, data quality, or evaluation systems.
* Familiarity with type theory, Curry-Howard correspondence, and proof automation tools.
* Experience with large-scale formalization projects (e.g., mathlib).
* Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.
* Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.
* A mathematically mature problem-solver who enjoys working at the frontier of formal verification and expressing dense human arguments in machine-understandable form.
Application Process
Application steps take 15–20 minutes: submit your resume, complete a short screening, and review project matching and onboarding. PS: Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.
Sampling and Related Notes
Note: The description also lists other job postings and company-wide notices that are not directly part of this role. Only information above is applicable to the Formal Verification Scientist (Lean 4 & Mathlib) position.
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