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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 expertise in rigorous mathematical proof 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 frontier of what proof assistants can express, capture, and automate.

This is a fully remote, flexible contract role for researchers who love precision, structural elegance, and the challenge of bridging human mathematical intuition with formal systems.

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

What You'll Do

  • Translate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations
  • Analyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structures
  • Construct formalizations that test and extend the limits of existing proof assistants
  • Investigate where automated provers break down and articulate why — whether due to complexity, missing lemmas, or library gaps
  • Collaborate with researchers to design, refine, and evaluate formal verification strategies
  • Develop highly readable, reproducible proof scripts aligned with mathematical best practices and Lean idioms
  • Guide proof decomposition, lemma selection, and structural decisions for complex formal models
  • Create Lean proofs that reveal deeper patterns or generalizations implicit in classical mathematical arguments

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 system — Lean 4 strongly preferred
  • Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
  • Able to translate dense, informal mathematical arguments into precise, structured formal proofs with clarity and confidence

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 significant manual scaffolding
  • Prior experience with data annotation, evaluation systems, or AI training workflows
  • Strong communication skills for articulating formalization decisions, edge cases, and reasoning strategies

Why Join Us

  • Work on cutting-edge AI projects alongside leading research labs and teams
  • Fully remote and flexible — work when and where it suits you
  • Freelance autonomy with the structure of meaningful, intellectually demanding work
  • Contribute directly to advancing what AI can understand and reason about in formal mathematics
  • 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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