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Researcher - Lean 4 & Formal Proof Systems

Alignerr

AI & Data Training Contractor
Remote (Global) $170 – $200/hr May 25, 2026

Job description

Researcher — Lean 4 & Formal Proof Systems (AI Training)

About the Role

What if your deep mathematical training could directly shape the future of AI reasoning? We're looking for mathematicians and formal verification experts to translate sophisticated proofs into Lean 4 — working at the exact boundary where human mathematical intuition meets machine-verifiable logic.

This is a rare opportunity to contribute to cutting-edge AI research by helping build training data that pushes proof assistants beyond their current limits. If you find satisfaction in taking a dense, elegant argument and expressing it with machine-level precision, this role was made for you.

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

What You'll Do

  • Translate informal mathematical proofs into rigorous, machine-verifiable Lean 4 formalizations
  • Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
  • Construct formalizations that probe the limits of existing proof assistants, especially where automation fails
  • Collaborate with AI researchers to design and refine formal verification strategies
  • Develop clean, readable, reproducible proof scripts aligned with mathematical best practices
  • Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
  • Investigate and articulate where automated provers break down — and why
  • Create Lean proofs that 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
  • Possess a strong foundation in rigorous proof construction 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 strongly preferred
  • Genuinely enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
  • Able to translate informal mathematical arguments into clean, structured formal proofs independently

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 contexts where automated reasoning fails or requires extensive manual scaffolding
  • Prior experience with data annotation, data quality evaluation, or AI training pipelines
  • Strong communication skills for articulating formalization decisions, edge cases, and proof strategies

Why Join Us

  • Work at the frontier of formal verification and AI research — problems here are genuinely unsolved
  • Fully remote and flexible — structure your hours around your life
  • Freelance autonomy with the substance of impactful, intellectually demanding work
  • Collaborate with researchers at leading AI labs on projects that matter
  • Contribute directly to advancing what AI systems can reason about and verify
  • Potential for ongoing work and contract extension as new projects launch
Apply now

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Frequently asked questions

Is Alignerr legitimate?
Yes, Alignerr is a legitimate company listed on RemoWork. We verify all companies on our platform. However, we always recommend doing your own research before sharing personal information or starting work. Check reviews from other users and visit the company's official website for the most up-to-date information.
How do I get started with Alignerr?
To get started, visit Alignerr's official website and look for their careers or sign-up page. Create an account, complete your profile with relevant skills and experience, and apply for available positions or projects. Some companies may require you to pass a qualification test or assessment before you can start working.
Does Alignerr offer remote work?
Yes, Alignerr offers remote work opportunities. Most tasks and positions can be completed from anywhere with a reliable internet connection and a computer or smartphone. Specific location requirements may vary by project or role, so check individual listings for details.
How does Alignerr pay its workers?
Payment methods and schedules vary. Common payment options include PayPal, bank transfers, Payoneer, and other digital payment platforms. Visit Alignerr's official website or check their payment/FAQ section for specific details about payment methods, minimum thresholds, and payout schedules.
What skills do I need to work with Alignerr?
Required skills vary by role and project. Generally, you'll need a reliable internet connection, basic computer literacy, strong attention to detail, and good communication skills. Some positions may require specialized expertise, language proficiency, or technical qualifications. Check individual job listings for specific requirements.
What type of AI work does Alignerr focus on?
Alignerr specializes in AI alignment and model evaluation tasks. Contributors help ensure AI models produce safe, accurate, and helpful outputs by evaluating model responses, identifying errors or biases, and providing human feedback that improves AI behavior and alignment with human values.
Do I need technical AI knowledge to work with Alignerr?
While technical AI knowledge is a plus, many Alignerr tasks are designed for non-technical contributors with strong critical thinking, writing, and analytical skills. The ability to evaluate content quality, identify factual errors, and provide clear feedback is more important than programming expertise for most roles.
How does Alignerr ensure quality in its work?
Alignerr implements multi-layered quality assurance including calibration tasks, consensus scoring between annotators, regular quality audits, and feedback loops. Contributors are expected to maintain high accuracy scores, and ongoing training helps maintain consistent quality standards.
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