Lean Engineer, Formal Mathematics – Lean 4, Mathlib, Theorem Proving

atMercorRemoteUS flagUnited StatesPart-timeEngineerMid-levelSenior$90 – $110/hour

Posted 2 hours ago

This is a fully remote position, open to applicants in United States.

πŸ“‹ Description

β€’ Compose accurate and idiomatic Lean 4 statements and proofs that compile with the current mathlib.

β€’ Formalize mathematical content from natural language, including competition problems, textbook results, and research-level lemmas.

β€’ Assess AI-generated Lean statements and proofs.

β€’ Identify inaccuracies in proofs or those that yield incorrect conclusions, providing clear and constructive written feedback.

β€’ Assist in establishing guidelines and rubrics for proof quality, statement accuracy, and mathlib conventions.

β€’ Collaborate with Lean engineers and research lab personnel to uphold consistent standards.

β€’ Engage in projects focused on training and enhancing AI systems.


⛳️ Requirements

β€’ Practical experience in writing formal proofs using Lean 4.

β€’ Proficiency with mathlib and Lean 4 tactics, including the ability to locate and utilize relevant lemmas.

β€’ Strong foundation in proof-based mathematics, theoretical computer science, or logic, supported by a degree or research history.

β€’ Capability to transform written statements and proofs into accurate formal statements and validate proofs.

β€’ Availability for a minimum of 20 hours per week during weekdays.

β€’ Excellent written communication skills and the ability to articulate proof strategies and formalization decisions clearly.

β€’ Preferred: experience with Coq/Rocq, Isabelle, Agda, Haskell, Lean metaprogramming, or AI applications in mathematics.

β€’ Unable to accommodate H1-B or STEM OPT candidates at present.


🏝️ Benefits

β€’ W-2 employment through Cincinnatus LLC (or the relevant international entity).

β€’ Payroll, benefits, and compliance managed by the employer of record.

β€’ Fully remote work environment.

β€’ Flexible scheduling / ability to work at your own pace.

β€’ Weekly payments facilitated through Stripe or Wise.

β€’ Opportunity to work alongside leading researchers.

β€’ Referral bonuses of up to $1,760 for each successful referral.

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