Lean 4 Proof Engineer

ixolabs.ai; France; Sur place; EUR 70 000 - 110 000; Plein temps

Résumé du poste

ixolabs.ai in France is seeking a Lean 4 Proof Engineer to push the boundaries of formal verification for trustworthy AI. You will formalize mathematical definitions, theorems, and proofs in Lean 4 and contribute to the Mathlib library, ensuring mathematical rigor across critical AI components.

You will translate informal arguments into rigorous, machine-checkable proofs, verify the correctness of algorithms using Lean 4's type theory, and collaborate with AI researchers to formalize

Qualifications

• PhD required or equivalent research experience.
• Strong background in logic and formal verification.
• Experience with formalizing mathematical proofs is essential.

Responsabilités

• Formalize mathematical definitions, theorems, and proofs within Lean 4.
• Contribute to and extend the Mathlib library.
• Verify correctness of existing mathematical statements and algorithms using Lean 4's type theory.
• Translate informal mathematical arguments into machine-checkable proofs.
• Collaborate with AI researchers to formalize specifications and properties of AI algorithms.
• Identify and debug logical errors or gaps in formalizations, providing clear explanations.

Connaissances

Lean 4

Formal methods

Mathematical logic

Collaboration

Formation

Ph.D. in Mathematics or Computer Science

Outils

Lean 4

Mathlib

Type theory

Description du poste

Overview

Formal verification is the bedrock of trustworthy AI, especially in critical applications. As a Lean 4 Proof Engineer, you will be at the cutting edge of mathematical formalization, ensuring the logical soundness and correctness of complex mathematical statements, directly contributing to the reliability and interpretability of advanced AI systems.

Key Responsibilities

• Formalize mathematical definitions, theorems, and proofs within the Lean 4 proof assistant environment.
• Contribute to and extend the Mathlib library, ensuring consistency and adherence to best practices.
• Verify the correctness of existing mathematical statements and algorithms using Lean 4's type theory.
• Translate informal mathematical arguments into rigorous, machine-checkable proofs.
• Collaborate with AI researchers to formalize specifications and properties of AI algorithms.
• Identify and debug logical errors or gaps in formalizations, providing clear explanations.

Ideal Qualifications

• Ph.D. in Mathematics, Computer Science, or a related field with a strong emphasis on logic or formal methods.
• Demonstrable expertise in using Lean 4, including experience with actic\