$120 - $180/hr
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 ...
$120 - $180/hr
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 ...
$180 - $230/hr
Direct experience in hardware verification, software verification, or interactive theorem proving (ITP) * Demonstrated ability to independently navigate complex concepts, manage risks and deadlines ...
$180 - $230/hr
Direct experience in hardware verification, software verification, or interactive theorem proving (ITP) * Demonstrated ability to independently navigate complex concepts, manage risks and deadlines ...
Math 2 Tutor
Louisville, KY · Remote
$18 - $40/hr
Guides students through factoring, using the quadratic formula, applying the Pythagorean theorem ... proving geometric similarity, and computing conditional probabilities. Adapts instruction using ...
Math 2 Tutor
Louisville, KY · Remote
$18 - $40/hr
Guides students through factoring, using the quadratic formula, applying the Pythagorean theorem ... proving geometric similarity, and computing conditional probabilities. Adapts instruction using ...
Math 2 Tutor
Lexington, KY · Remote
$18 - $40/hr
Guides students through factoring, using the quadratic formula, applying the Pythagorean theorem ... proving geometric similarity, and computing conditional probabilities. Adapts instruction using ...
Math 2 Tutor
Lexington, KY · Remote
$18 - $40/hr
Guides students through factoring, using the quadratic formula, applying the Pythagorean theorem ... proving geometric similarity, and computing conditional probabilities. Adapts instruction using ...
Theorem Proving information
What is theorem proving?
Theorem proving is the process of using formal logic and mathematical reasoning to verify the truth of mathematical statements or propositions. In computer science and mathematics, theorem provers are specialized software tools that automatically or interactively check the validity of logical assertions. Theorem proving is widely used in areas such as software verification, hardware design, and formal methods to ensure systems behave as intended. By rigorously proving the correctness of algorithms and systems, theorem proving helps prevent errors and increases reliability in critical applications.
What are some common challenges faced by professionals working in theorem proving roles?
Professionals in theorem proving often encounter challenges such as translating complex mathematical concepts into formal logic, managing large codebases of proofs, and ensuring the correctness and efficiency of their formalizations. They may also need to collaborate closely with mathematicians, software engineers, or researchers to clarify problem statements and verify results. Staying updated with the latest automated theorem proving tools and techniques is important, as the field evolves rapidly and often requires creative problem-solving.
What are the key skills and qualifications needed to thrive as a theorem prover, and why are they important?
To thrive as a theorem prover, you need strong mathematical reasoning, formal logic skills, and typically an advanced degree in mathematics, computer science, or a related field. Familiarity with proof assistants and formal verification tools like Coq, Isabelle/HOL, or Lean is often required. Precision, patience, and strong problem-solving abilities are key soft skills that help in navigating complex proofs and collaborating with interdisciplinary teams. These skills are crucial for ensuring the correctness and reliability of mathematical results and software systems.
What is the difference between Theorem Proving vs Formal Verification Engineer?
| Aspect | Theorem Proving | Formal Verification Engineer |
|---|---|---|
| Required Credentials | Mathematics, Computer Science degrees, certifications in theorem proving tools | Computer Science, Electrical Engineering degrees, certifications in formal methods |
| Work Environment | Research labs, academia, industry R&D teams | Hardware/software companies, tech firms, industry R&D teams |
| Industry Usage | Mathematical proof development, academic research, complex system validation | Hardware design, software verification, safety-critical systems |
While both roles involve formal methods, Theorem Proving focuses on developing mathematical proofs for systems, often in academic or research settings. Formal Verification Engineers apply formal methods to verify hardware and software correctness in industry, ensuring system reliability and safety.
What are popular job titles related to Theorem Proving jobs in Kentucky?
For Theorem Proving jobs in Kentucky, the most frequently searched job titles are:
What job categories do people searching Theorem Proving jobs in Kentucky look for?
The top searched job categories for Theorem Proving jobs in Kentucky are:
What cities in Kentucky are hiring for Theorem Proving jobs?
Cities in Kentucky with the most Theorem Proving job openings:
$120 - $180/hr
Other
Medical, Dental, Vision, Retirement, PTO
Posted 7 days ago
Key responsibilities
Conduct research in formal methods for verification of software, hardware and mathematical domains
Apply formal verification techniques using Lean or similar frameworks to verify safety critical systems
Develop and implement algorithms and techniques to improve the efficiency and effectiveness of formal methods for AI systems
Job description
About Harmonic
#J-18808-LjbffrAt 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.
Visit our company blog to learn more about what we are working on!
About the RoleWe 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, work with AI researchers to train and develop AI systems to reliably check them.
Key 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
- 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
- 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
- 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
Harmonic is committed to diversity and inclusivity in the workplace. We are an equal opportunity employer and do not discriminate on the basis of race, religion, national origin, gender, sexual orientation, age, veteran status, disability or any other legally protected status.