Remote Researcher: Lean 4 & Formal Proofs for AI

Alignerr Corp.; Glasgow; On-site; GBP 55,000 - 96,000; Full time

Job summary

Alignerr is seeking a Researcher to translate informal mathematical proofs into Lean 4 and related systems for AI training and formal verification research. You will work remotely, shaping formal proofs that AI can understand and automate, collaborating with researchers to refine strategies and ensure rigorous, machine-verifiable results.

The role combines mathematics and computer science, requiring strong proof-writing skills, experience with Lean/Coq/Isabelle, and a passion for mechanized

Qualifications

• Master's degree or higher in Mathematics, Logic, or related field.
• Strong foundation in rigorous proof writing across algebra, analysis, topology, logic, or discrete math.
• Hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, or comparable systems.

Responsibilities

• Translate informal mathematical proofs into Lean 4 (and related proof systems) with emphasis on clarity and correctness.
• Analyze proofs to identify gaps and formalizable sub-structures.
• Construct formalizations that test limits of proof assistants and automation.

Skills

Formal reasoning

Mathematical thinking

Problem solving

Communication

Education

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

Tools

Lean

Coq

Isabelle/HOL

Agda

Job description

Alignerr is seeking a Researcher to translate informal mathematical proofs into Lean 4 and related systems for AI training and formal verification research. You will work remotely, shaping formal proofs that AI can understand and automate, collaborating with researchers to refine strategies and ensure rigorous, machine-verifiable results.

The role combines mathematics and computer science, requiring strong proof-writing skills, experience with Lean/Coq/Isabelle, and a passion for mechanized