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Lean 4 Proof Engineer - Mathematical Formalization
Alignerr • Remote
Education
Not stated
Type
Hourly
Pay Rate
$170–$200/hr
Listed
Today
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From the Alignerr listing
What You'll Do
- Translate informal mathematical proofs into clean, structured, machine-verifiable Lean 4 formalizations
- Analyze proofs across domains — identifying gaps, hidden assumptions, and formalizable sub-structures
- Construct formalizations that test and extend the limits of existing proof assistants
- Investigate where automated provers break down and articulate the underlying reasons — complexity, missing lemmas, library gaps, and more
- Collaborate with researchers to design and refine formal verification strategies
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms
- Provide expert guidance on proof decomposition, lemma selection, and structuring techniques
- Formalize classical proofs and compare machine-verifiable structures against textbook arguments
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics
About the Role
What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for skilled mathematicians and formal verification specialists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the frontier of what proof assistants can express, capture, and automate. This is a fully remote, flexible contract role. If you live for rigorous proof construction and find satisfaction in the precision of formal systems, this is the role built for you.
- Organization: Alignerr
- Type: Hourly Contract
- Location: Remote
- Commitment: 10–40 hours/week
Who You Are
- Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
- Have 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 comparable proof systems — Lean 4 strongly preferred
- Deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
- Able to translate informal arguments into clean, well-structured formal proofs with precision and clarity
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 frequently requires manual scaffolding
- Prior experience with data annotation, data quality, or AI evaluation systems
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies
Why Join Us
- Work on cutting-edge AI research projects alongside leading labs and research teams
- Fully remote and flexible — work when and where it suits you
- Freelance autonomy with intellectually stimulating, frontier-level work
- Contribute directly to how AI systems understand and reason about advanced mathematics
- Potential for ongoing work and contract extension as new projects launch
Why this role
What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for skilled mathematicians and formal verification specialists to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs — working at the frontier of what proof assistants can express, capture, and a
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Common questions
How hard is the Alignerr assessment?
Hard, and unforgiving. Alignerr uses TestGorilla for timed, role-specific tests: a blank coding environment for engineers, strict grammar and fact-checking for writers. Treat it as one shot. Failing or abandoning it typically locks you out of that role permanently, with no retake.
How soon can I start earning on Alignerr after passing the assessment?
Not right away. After passing, you still complete identity verification through Persona and billing setup through Deel, then wait in a pool for weeks or months. You only start earning once a project matching your specific skills launches and assigns you. Don't count on Alignerr income until you're actively placed on a project.
Why do these AI training roles pay so much?
Because general knowledge isn't what's being tested. The model already knows the basics; what it needs is expertise on edge cases, the rare, difficult, highly technical judgment calls only a senior professional in the field would make correctly.
What does the day-to-day workload look like for elite-expert AI training roles?
Slow and deep, not fast and repetitive. A single task can take 45-60 minutes of researching citations or verifying complex calculations. Quality is what's being measured here, not throughput.
What does Mathematics work look like for a Lean 4 Proof Engineer - Mathematical Formalization?
Tasks here are scoped to Mathematics, not generic labeling. As a Lean 4 Proof Engineer - Mathematical Formalization, expect to draw on real domain judgment (evaluating outputs, correcting errors, or providing expert reasoning specific to Mathematics) rather than following a one-size-fits-all rubric. If you don't have hands-on Mathematics background, this is likely not the right listing to start with.
What specific skills does this listing call for?
Coding and Lean are named directly in the listing. If you don't have hands-on experience with these, expect the screening process to test for them directly rather than accepting adjacent experience as a substitute.
How much does this specific role pay?
This listing is posted at $170–$200/hr, an hourly rate. The range reflects experience level and negotiated terms, not a placeholder, so where you land in it depends on your background and the assessment. Pay can change between when we last checked the listing and when you apply, so confirm the current number on the platform's own application page before committing time.
What happens when I click Apply on this listing?
You'll be taken to Alignerr's external site to complete your application there. This listing links through a referral, but the process is identical to applying directly; the link just routes you correctly. Create an account on their site and follow their onboarding steps.
What is the barrier to entry for Alignerr?
A difficult, timed technical assessment in your specific domain, like Python, physics, or language. Passing it is required before you're eligible for any paid projects.