精益工程师,形式数学
Lean Engineer, Formal Mathematics
**薪资:** 每小时90-110美元(美元)。
**帮助一家领先的AI实验室让其模型能够编写真实的、可机器验证的数学内容,使用Lean。**
# 1. 概述
一家领先的AI实验室正在寻找Lean工程师、形式化数学家和证明工程师,以帮助其AI模型正确地陈述和证明数学内容。您将编写和审查Lean 4证明,将非正式数学转化为精确的形式化陈述,并帮助实验室的研究人员判断模型的证明是否不仅被检查器接受,而且确实证明了正确的内容。如果您喜欢编写Lean,熟悉mathlib,并能解释一个形式化是否忠实或存在细微错误,那么这个职位适合您。这是一份每周至少20小时的兼职工作,也可增加至每周最多40小时。
这是一项W-2雇佣职位,由Cincinnatus LLC(或适当的国际实体)提供,并有机会作为其扩展员工团队的一部分被派驻到一家领先的AI实验室。
# 2. 核心职责
- 编写正确、符合习惯的Lean 4语句和证明,这些证明可以与当前的mathlib编译通过,涵盖代数、分析、数论、组合学和逻辑等领域。
- 将自然语言数学内容形式化,从竞赛问题和教科书结果到研究级别的引理,仔细关注形式化陈述是否与原内容匹配。
- 审查AI生成的Lean语句和证明,找出它们失败或证明了错误内容的地方,并提供清晰、具体的书面反馈。
- 协助制定证明质量、陈述一致性和mathlib规范的指南和评分标准。
- 与其他Lean工程师和实验室的研究人员合作,保持标准一致并不断提高质量标准。
# 3. 核心资格要求
- 在Lean 4中编写形式化证明的实际经验,例如mathlib贡献、形式化项目、Lean库或工具,或自动化形式化工作。
- 熟悉mathlib和Lean 4战术,并能找到和使用合适的引理。
- 在基于学位或研究记录的证明数学、理论计算机科学或逻辑方面有扎实的背景。
- 能够将书面陈述和证明转化为正确的形式化陈述和可验证的证明。
- 能够在工作日每周至少可靠地投入20小时。
- 清晰的书面沟通能力,能够准确解释证明策略和形式化选择。
**加分项:**
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**Pay:** $90-$110 per hour (USD).
**Help a leading AI lab teach its models to write real, machine-checked mathematics in Lean.**
# 1. Overview
A leading AI lab is looking for Lean engineers, formal mathematicians and proof engineers to help its AI models state and prove mathematics correctly. You'll write and review Lean 4 proofs, turn informal math into precise formal statements, and help the lab's researchers judge whether a model's proof is not just accepted by the checker but actually proves the right thing. If you enjoy writing Lean, know your way around mathlib, and can explain why a formalization is faithful or subtly wrong, this role is for you. This is a part-time commitment of at least 20 hours per week, with the option to increase to up to 40 hours per week.
This is a W-2 employment position with Cincinnatus LLC (or appropriate international entity), with the opportunity to be placed at a leading AI lab as part of their extended workforce.
# 2. Key Responsibilities
- Write correct, idiomatic Lean 4 statements and proofs that compile against current mathlib, across areas such as algebra, analysis, number theory, combinatorics and logic.
- Formalize natural-language mathematics, from competition problems and textbook results to research-level lemmas, paying close attention to whether the formal statement matches the original.
- Review AI-generated Lean statements and proofs, find where they fail or prove the wrong thing, and give clear, specific written feedback.
- Help define guidelines and rubrics for proof quality, statement fidelity and mathlib conventions.
- Collaborate with other Lean engineers and the lab's researchers to keep standards consistent and keep raising the quality bar.
# 3. Core Qualifications
- Hands-on experience writing formal proofs in Lean 4, for example mathlib contributions, a formalization project, a Lean library or tool, or autoformalization work.
- Comfort with mathlib and Lean 4 tactics, and with finding and using the right lemmas.
- A strong background in proof-based mathematics, theoretical computer science or logic, through a degree or a research record.
- The ability to turn a written statement and proof into a correct formal statement and a proof that checks.
- Ability to engage reliably for at least 20 hours/week during weekdays.
- Clear written communication and the ability to explain proof strategy and formalization choices precisely.
**Nice to have:** experience with other proof assistants or dependently typed languages (Coq/Rocq, Isabelle, Agda, Haskell), Lean metaprogramming, or AI-for-math work such as LLM provers, Lean agent environments, or benchmarks like miniF2F, ProofNet or PutnamBench. You don't need all of these to apply.
**About Cincinnatus LLC:**
Cincinnatus LLC is an enterprise staffing company that partners with leading technology companies to source and employ highly skilled professionals for contingent and contract-based opportunities. Cincinnatus serves as the employer of record for these engagements, providing W-2 employment, payroll, benefits, and compliance, while placing employees directly within client teams to work on high-impact initiatives.
**Equal Employment Opportunity:**
Cincinnatus is proud to be an Equal Employment Opportunity employer. We do not discriminate based upon race, religion, color, national origin, sex (including pregnancy, childbirth, reproductive health decisions, or related medical conditions), sexual orientation, gender identity, gender expression, age, status as a protected veteran, status as an individual with a disability, genetic information, political views or activity, or any other legally protected characteristic.