Lean 4 Proof Engineer - Mathematical Formalization in Manchester
Lean 4 Proof Engineer - Mathematical Formalization

Lean 4 Proof Engineer - Mathematical Formalization in Manchester

Manchester Full-Time 52 - 110 £ / hour (est.) No home office possible
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At a Glance

  • Tasks: Transform complex mathematical proofs into structured Lean formats and collaborate on AI projects.
  • Company: Join Alignerr, a leader in AI research and innovation.
  • Benefits: Earn competitive pay, enjoy flexible remote work, and gain freelance perks.
  • Why this job: Dive into cutting-edge AI and formal verification while making a real impact.
  • Qualifications: Master’s degree in relevant fields and experience with proof systems like Lean.
  • Other info: Work in a dynamic environment with opportunities for global collaboration.

The predicted salary is between 52 - 110 £ per hour.

At Alignerr, we partner with the world’s leading AI research teams and labs to build and train cutting-edge AI models.

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 explain why; create Lean proofs that reveal deeper patterns or generalizations.

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.

Ideal Candidate:

A mathematically mature problem-solver who enjoys working at the frontier of formal verification; someone who finds satisfaction in taking a dense, elegant human argument and expressing it in a form that a machine can understand. You appreciate precision, structural beauty, and the challenge of resolving gaps that automated tools cannot yet bridge.

Why join us:

  • Competitive pay and flexible remote work.
  • Collaborate with a team working on cutting-edge AI projects.
  • Exposure to advanced LLMs and how they’re trained.
  • Freelance perks: autonomy, flexibility, and global collaboration.
  • Potential for contract extension.

Application process:

  • Submit your resume.
  • Complete a short screening.
  • Project matching and onboarding.

PS: Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.

Seniority level: Entry level

Employment type: Contract

Job function: Management and Manufacturing

Industries: Technology, Information and Internet

Lean 4 Proof Engineer - Mathematical Formalization in Manchester employer: Alignerr

At Alignerr, we pride ourselves on being an exceptional employer, offering competitive pay and the flexibility of remote work, allowing you to balance your professional and personal life seamlessly. Our collaborative work culture fosters innovation as you engage with leading AI research teams, while our commitment to employee growth ensures that you will continually develop your skills in a cutting-edge environment. Join us to be part of a team that values precision, creativity, and the pursuit of excellence in formal verification.
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Contact Detail:

Alignerr Recruiting Team

StudySmarter Expert Advice 🤫

We think this is how you could land Lean 4 Proof Engineer - Mathematical Formalization in Manchester

✨Tip Number 1

Network like a pro! Reach out to folks in the AI and formal verification space. Join relevant forums, attend webinars, and don’t be shy about sliding into DMs on LinkedIn. You never know who might have the inside scoop on job openings!

✨Tip Number 2

Show off your skills! Create a portfolio showcasing your Lean proofs or any related projects. This is your chance to demonstrate your mathematical prowess and proof-writing finesse. A well-organised GitHub repo can really make you stand out!

✨Tip Number 3

Prepare for interviews by brushing up on common proof techniques and discussing your thought process. Practice explaining complex concepts in simple terms. Remember, communication is key, especially when collaborating with researchers!

✨Tip Number 4

Don’t forget to apply through our website! It’s the best way to ensure your application gets seen by the right people. Plus, we review applications daily, so the sooner you apply, the better your chances!

We think you need these skills to ace Lean 4 Proof Engineer - Mathematical Formalization in Manchester

Mathematical Reasoning
Proof Writing
Lean (Lean 3 or Lean 4)
Coq
Isabelle/HOL
Agda
Formal Verification
Proof Decomposition
Lemma Selection
Type Theory
Curry-Howard Correspondence
Proof Automation Tools
Data Annotation
Data Quality Evaluation
Communication Skills

Some tips for your application 🫡

Craft a Clear Resume: Make sure your resume is easy to read and highlights your relevant experience in mathematical formalization and proof writing. We want to see your skills shine, so tailor it to the role and keep it concise!

Showcase Your Passion: In your cover letter, let us know why you're excited about formal verification and proof assistants. Share any projects or experiences that fuel your enthusiasm for this field – we love seeing genuine interest!

Be Specific About Your Skills: When detailing your experience with Lean or other proof systems, be specific! Mention any challenges you've faced and how you overcame them. This helps us understand your problem-solving approach and technical expertise.

Apply Through Our Website: Don’t forget to submit your application through our website! It’s the best way for us to receive your materials and ensures you’re considered for the role. Plus, we review applications daily, so get yours in!

How to prepare for a job interview at Alignerr

✨Master the Basics of Lean

Before your interview, make sure you brush up on Lean 4 and its proof systems. Familiarise yourself with the syntax and common idioms used in Lean, as well as any recent updates or features. This will not only show your enthusiasm but also demonstrate your readiness to dive into the role.

✨Showcase Your Proof Writing Skills

Prepare examples of your previous work where you've translated informal mathematical proofs into formal ones. Be ready to discuss the challenges you faced and how you overcame them. This will highlight your problem-solving skills and your ability to communicate complex ideas clearly.

✨Understand the Role of Formal Verification

Research the importance of formal verification in AI and how it impacts the development of cutting-edge models. Being able to articulate why this role matters and how your skills align with their goals will set you apart from other candidates.

✨Ask Insightful Questions

Prepare thoughtful questions about the team’s current projects and the challenges they face in formal verification. This shows your genuine interest in the role and helps you gauge if the company culture aligns with your values and work style.

Lean 4 Proof Engineer - Mathematical Formalization in Manchester
Alignerr
Location: Manchester
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  • Lean 4 Proof Engineer - Mathematical Formalization in Manchester

    Manchester
    Full-Time
    52 - 110 £ / hour (est.)
  • A

    Alignerr

    50-100
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