Remote Researcher: Lean 4 & Formal Proofs for AI

Alignerr Corp.

Charlotte (AR)

Remote

USD 55,000 - 83,000

Part time

6 days ago

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Job summary

Alignerr Corp. is seeking a Researcher to translate deep mathematical reasoning into Lean 4 formalizations for AI training. This remote contract role suits researchers who value precision and rigorous, machine-verifiable proofs.

You will work across algebra, topology, logic, and discrete math to push the boundaries of what automated systems can handle, with flexible hours between 10 and 40 per week. Lean 3/4, Coq, Isabelle/HOL, and Agda experience is highly valued as you contribute to frontier

Qualifications

Requires strong mathematical background and formal proof experience.
Experience translating informal arguments into machine-verifiable proofs.

Responsibilities

Translate informal mathematical proofs into Lean 4 formalizations.
Analyze proofs across domains (algebra, analysis, topology, logic, discrete math).
Construct formalizations that stress-test proof assistants where automation breaks down.
Collaborate with researchers to refine verification strategies.
Develop readable, reproducible proof scripts aligned with best practices.
Provide guidance on proof decomposition, lemma selection, and structuring techniques.
Investigate why automated provers fail and explain the reasons.
Create Lean proofs that reveal deeper patterns or generalizations in the mathematics.