Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham
Formal Verification Scientist (Lean 4 & Mathlib)

Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham

Birmingham Freelance 13 - 16 £ / hour (est.) Home office possible
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At a Glance

  • Tasks: Write and formalise advanced mathematical proofs for cutting-edge AI research.
  • Company: Join Alignerr, a forward-thinking tech company based in Birmingham, UK.
  • Benefits: Enjoy competitive pay, flexible remote work, and freelance perks.
  • Why this job: Make an impact in the future of mechanised mathematics with innovative projects.
  • Qualifications: Master’s degree in Mathematics or related field; experience with Lean preferred.
  • Other info: Collaborative environment with opportunities for contract extension and global teamwork.

The predicted salary is between 13 - 16 £ per hour.

Overview

Alignerr Birmingham, United Kingdom (Remote) Formal Verification Scientist (Lean 4 & Mathlib) role at Alignerr. Write and formalize advanced mathematical proofs in Lean for cutting-edge AI research. Ideal for mathematicians passionate about formal verification and pushing the limits of modern proof assistants.

Responsibilities

  • Translate informal mathematical proofs into Lean (and related proof systems) with 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 implicit 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.
  • Experience with data annotation, data quality, or evaluation systems is a plus.

Preferred

  • 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.
  • Mathematically mature problem-solver who enjoys working at the frontier of formal verification.

What You’ll Get

  • Competitive pay and flexible remote work.
  • Collaborative environment with 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

  • Takes 15–20 minutes.
  • Submit your resume, complete a short screening, and proceed with project matching and onboarding.
  • 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 Research, Analyst, and Information Technology

Industries Technology, Information and Internet

Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham employer: Alignerr

Alignerr is an exceptional employer for those passionate about formal verification and advanced mathematics, offering a flexible remote work environment that fosters collaboration on cutting-edge AI projects. With competitive pay and opportunities for professional growth, employees can engage in meaningful work while enjoying the autonomy and flexibility of freelance arrangements. The company's commitment to innovation and support for personal development makes it an attractive choice for mathematicians eager to push the boundaries of mechanized mathematics.
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Contact Detail:

Alignerr Recruiting Team

StudySmarter Expert Advice 🤫

We think this is how you could land Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham

✨Tip Number 1

Get your networking game on! Reach out to folks in the formal verification community, whether through LinkedIn or relevant forums. Engaging with others can lead to insider info about job openings and even referrals.

✨Tip Number 2

Show off your skills! Create a portfolio showcasing your work with Lean or other proof assistants. This could be anything from formal proofs you've written to projects that highlight your problem-solving abilities. A strong portfolio can really set you apart.

✨Tip Number 3

Prepare for interviews by brushing up on common questions related to formal verification and proof writing. Practice explaining your thought process clearly and concisely, as communication is key in this field. We want to see how you think!

✨Tip Number 4

Don't forget to apply through our website! It’s quick and easy, and we review applications daily. Plus, it gives you a better chance of getting noticed by our team. So, get your application in and let’s get you started on this exciting journey!

We think you need these skills to ace Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham

Formal Verification
Mathematical Proof Writing
Lean 4
Proof Assistants
Rigorous Mathematical Reasoning
Data Annotation
Type Theory
Curry-Howard Correspondence
Proof Automation Tools
Communication Skills
Problem-Solving Skills
Collaboration
Structured Formal Proofs
Evaluation Systems

Some tips for your application 🫡

Show Off Your Skills: Make sure to highlight your experience with Lean and any formal verification projects you've worked on. We want to see how you can translate informal proofs into structured formal ones, so don’t hold back!

Tailor Your Resume: Customise your resume to reflect the skills and experiences that align with the Formal Verification Scientist role. Use keywords from the job description to make it clear that you're a perfect fit for us.

Be Clear and Concise: When filling out the application, keep your answers clear and to the point. We appreciate clarity, especially when it comes to complex topics like formal proofs. Show us your ability to communicate effectively!

Apply Through Our Website: Don’t forget to apply through our website! It’s the best way to ensure your application gets seen by our team. Plus, it only takes 15–20 minutes, so why not get started?

How to prepare for a job interview at Alignerr

✨Know Your Lean Inside Out

Make sure you’re well-versed in Lean 4 and Mathlib. Brush up on the syntax, common functions, and proof strategies. Being able to discuss specific features or recent updates will show your passion and expertise.

✨Prepare for Technical Questions

Expect questions that dive deep into formal verification and proof writing. Practice explaining complex concepts clearly and concisely. You might even want to prepare a few examples of proofs you've worked on to demonstrate your skills.

✨Show Your Problem-Solving Skills

Be ready to tackle hypothetical scenarios where automated provers struggle. Think about how you would approach these challenges and articulate your thought process during the interview. This will highlight your analytical abilities.

✨Communicate Effectively

Strong communication is key, especially when discussing formalization decisions. Practice explaining your reasoning and choices in a way that’s easy to understand. This will help you connect with the interviewers and showcase your collaborative spirit.

Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham
Alignerr
Location: Birmingham
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  • Formal Verification Scientist (Lean 4 & Mathlib) in Birmingham

    Birmingham
    Freelance
    13 - 16 £ / hour (est.)
  • A

    Alignerr

    50-100
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