Remote Researcher: Lean 4 & Formal Proof Systems

Alignerr Corp.; Sheffield (TX); Remote; USD 55,000 - 96,000; Part time

Benefits offered by this job

Fully remote

Flexible hours

Contract extension potential

Job summary

Alignerr is seeking a Researcher to translate informal mathematical proofs into machine-verifiable Lean 4 formalizations for AI training. You will analyze proofs across multiple domains and collaborate with AI researchers to build robust verification pipelines.

We value deep mathematical training, proficiency with Lean 3/4 or other proof assistants, and the ability to craft clean, reproducible proof scripts. This is a fully remote, hourly contract with flexible hours.

Qualifications

• Master's degree or higher in a relevant field.
• Strong proof-writing and mathematical reasoning.
• Experience with Lean or other proof assistants.
• Ability to translate informal arguments into formal proofs.

Responsibilities

• Translate informal mathematical proofs into precise Lean 4 formalizations.
• Analyze proofs across algebra, analysis, topology, logic, and discrete math.
• Construct formalizations to test limits of proof assistants where automation breaks down.
• Develop clean, readable, and reproducible Lean scripts.
• Collaborate with AI researchers to design formal verification pipelines.
• Provide guidance on proof decomposition and lemma selection.
• Investigate failure modes of automated provers and workarounds.
• Create Lean proofs that reveal deeper patterns in the original math.

Skills

Proof writing

Formal verification

Mathematical reasoning

Communication

Education

Master's degree or higher in Mathematics, Logic, or Theoretical CS

Tools

Lean 3/4

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Researcher to translate informal mathematical proofs into machine-verifiable Lean 4 formalizations for AI training. You will analyze proofs across multiple domains and collaborate with AI researchers to build robust verification pipelines.

We value deep mathematical training, proficiency with Lean 3/4 or other proof assistants, and the ability to craft clean, reproducible proof scripts. This is a fully remote, hourly contract with flexible hours.