Formal Verification Scientist

ixolabs.ai; France; Sur place; EUR 90 000 - 120 000; Plein temps

Résumé du poste

ixolabs.ai is seeking a Formal Verification Scientist in France to advance the reliability of AI systems through formal methods and theorem proving. You will formalize properties of AI algorithms and system behaviors using Lean 4, Coq, and related tools.

You will develop training data and evaluate AI-generated specifications to ensure correctness, completeness, and safety, contributing to trust in AI in safety-critical domains.

Qualifications

• Ph.D. in CS or math with a specialization in formal methods or logic.
• 3+ years of experience with formal verification tools and techniques (Lean 4, Coq, Isabelle/HOL, TLA+, SPIN).
• Strong background in logic (propositional, predicate, temporal), set theory, and discrete mathematics.
• Experience with program verification, including Hoare logic or weakest precondition calculus.

Responsabilités

• Develop and evaluate training data for AI models focusing on formal methods, theorem proving, and program verification.
• Evaluate AI-generated formal specifications and proofs for correctness, completeness, and adherence to logical principles.
• Utilize Lean 4 to formalize properties of AI algorithms, data structures, and system behaviors.
• Assess AI's ability to identify and resolve logical inconsistencies in code or system designs.
• Create ground truth data for AI to learn from, demonstrating correct application of model checking, SMT solving, and interactive theorem proving.
• Provide expert feedback on AI's attempts to generate or verify invariants, pre/post-conditions, and safety properties.

Connaissances

Formal verification

Theorem proving

Logic

Discrete mathematics

Formation

Ph.D. in Computer Science or Mathematics

Outils

Lean 4

Coq

Isabelle/HOL

TLA+

SPIN

Description du poste

Ensuring the absolute correctness and reliability of AI systems, particularly in safety-critical domains, demands rigorous formal verification. As a Formal Verification Scientist, you will be pivotal in building trust in AI by using advanced formal methods and theorem proving, making AI systems not just intelligent, but also provably sound.

Key Responsibilities

• Develop and evaluate training data for AI models focusing on formal methods, theorem proving, and program verification.
• Evaluate AI-generated formal specifications and proofs for correctness, completeness, and adherence to logical principles.
• Utilize Lean 4 to formalize properties of AI algorithms, data structures, and system behaviors.
• Assess AI\'s ability to identify and resolve logical inconsistencies in code or system designs.
• Create ground truth data for AI to learn from, demonstrating correct application of model checking, SMT solving, and interactive theorem proving.
• Provide expert feedback on AI\'s attempts to generate or verify invariants, pre/post-conditions, and safety properties.

Ideal Qualifications

• Ph.D. in Computer Science, Mathematics, or a related field with a specialization in formal methods or logic.
• 3+ years of experience with formal verification tools and techniques (e.g., Lean 4, Coq, Isabelle/HOL, TLA+, SPIN).
• Strong background in logic (propositional, predicate, temporal), set theory, and discrete mathematics.
• Experience with program verification, including Hoare logic or weakest precondition calculus.
• Familiarity with functional programming paradigms is a plus.
• Ability to translate complex system requirements into formal specifications.