Research Engineer, Formal Methods

About Harmonic

At Harmonic, we are building a mathematical reasoning engine that operates with absolute precision. While most AI makes maximum-likelihood guesses, Harmonic's Aristotle uses Lean4 and reinforcement learning to verify its reasoning and results. Following our Gold Medal-level performance on the 2025 International Math Olympiad (IMO) and the successful resolution of long-standing open problems, we are proving that AI can master the most rigorous domains of human thought. Backed by some of the world’s most prominent investors, we are intentionally scaling an elite technical team.

About the Role

We are seeking a highly motivated and skilled Research Engineer to join our Formal Methods team. The initial focus of this position will be on pushing the limits of AI-based theorem proving for verification of software and/or hardware. The successful candidate will play a key role in developing new approaches to express and prove important software and hardware properties, and work with AI researchers to train and develop AI systems to reliably check them.

Responsibilities

• Conduct research in formal methods for verification of software, hardware, and mathematical domains
• Apply formal verification techniques using Lean or similar frameworks to formally verify safety-critical systems
• Develop and implement algorithms and techniques to improve the efficiency and effectiveness of formal methods for AI systems

Requirements

• BS or MS in Computer Science, Mathematics, a related technical field, or equivalent industry experience
• Basic proficiency in Python
• Proficiency and practical experience with at least one proof assistant (e.g., Lean, Coq, Isabelle, Agda) and a strong foundation in formal methods and mathematical logic
• Experience driving highly technical research projects from early concept to delivery

Preferred Qualifications

• Expert-level knowledge of Lean4
• PhD in Computer Science, Mathematics, or related technical field
• Experience verifying programs in safety-critical fields such as aerospace/defense, automotive, medical, cryptography, etc.
• Proven track record in research or development of programming languages
• Proven track record of high-quality research demonstrated by publications, patents, or software contributions
• Contributions to open-source projects or development of software tools in the field

Benefits

• Unlimited PTO
• 401(k) matching
• 100% employer-paid health, vision, and dental benefits for employees and 50% coverage for dependents. Harmonic offers varied health coverage options to select what is best for you and your family.
• Health Savings Account (HSA) available for qualifying health plans