Remote Formal Verification Scientist - Lean 4 & Mathlib

Alignerr Corp.; Charlotte (AR); A distancia; USD 83.000 - 165.000; Jornada completa

Descripción de la vacante

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs, at the frontier of mechanized mathematics. This fully remote, hourly contract role offers collaboration with AI research teams to shape verification pipelines and formalisations.

You'll work on translating informal proofs, analyzing sub-structures, and creating resilient proof scripts, with emphasis on Mathlib idioms and rigorous standards.

Formación

• Master's degree or higher in Mathematics, Logic, Theoretical CS, or related field.
• Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete mathematics.
• Hands‑on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof tools—Lean 4 preferred.

Responsabilidades

• Translate informal mathematical proofs into clean, structured Lean 4 formalizations.
• Analyze proofs across domains, identifying gaps, hidden assumptions, and formalizable sub-structures.
• Construct formalizations that stress-test proof assistants where automation fails.
• Collaborate with AI researchers to design and refine formal verification strategies and pipelines.
• Develop readable, reproducible proof scripts aligned with Mathlib idioms.
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques.
• Investigate where automated provers break down and articulate why.
• Create Lean proofs that surface deeper patterns and generalizations implicit in the original mathematics.

Conocimientos

Proof writing

Formal verification

Mathematical maturity

Educación

Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or related field

Herramientas

Lean

Lean 3/Lean 4

Coq

Isabelle/HOL

Agda

Descripción del empleo

Alignerr is seeking a Formal Verification Scientist to translate advanced mathematical arguments into machine-verifiable Lean 4 proofs, at the frontier of mechanized mathematics. This fully remote, hourly contract role offers collaboration with AI research teams to shape verification pipelines and formalisations.

You'll work on translating informal proofs, analyzing sub-structures, and creating resilient proof scripts, with emphasis on Mathlib idioms and rigorous standards.