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Theorem Proving Jobs (NOW HIRING)

Familiarity with diverse formal methods, such as model checking, theorem proving, program analysis, and formal semantics of programming languages, and demonstrated expertise in at least one such area.

Familiarity with formal methods, SAT/SMT solvers, model checking, or theorem proving. Experience with code generation or analysis tasks using LLMs. MS or PhD in Computer Science, Electrical ...

... theorem proving, static analysis, or related areas. * Domain Mastery: Demonstrated expertise in at least one of our four research areas with evidence of applied projects or publications. * Funding ...

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Theorem Proving information

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 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 is the difference between Theorem Proving vs Formal Verification Engineer?

AspectTheorem ProvingFormal Verification Engineer
Required CredentialsMathematics, Computer Science degrees, certifications in theorem proving toolsComputer Science, Electrical Engineering degrees, certifications in formal methods
Work EnvironmentResearch labs, academia, industry R&D teamsHardware/software companies, tech firms, industry R&D teams
Industry UsageMathematical proof development, academic research, complex system validationHardware 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 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.
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What cities are hiring for Theorem Proving jobs? Cities with the most Theorem Proving job openings:
What states have the most Theorem Proving jobs? States with the most job openings for Theorem Proving jobs include:
What job categories do people searching Theorem Proving jobs look for? The top searched job categories for Theorem Proving jobs are:
Research Engineer

Research Engineer

Galois, Inc.

Boston, MA โ€ข On-site

Full-time

Medical, Dental, Vision, Retirement, PTO

Posted 4 days ago


Job description

About Galois

Who We Are: From building digital engineering tools that make space exploration safer to verifying cryptographic libraries that protect some of the worldโ€™s most valuable data, Galois develops technology to guarantee the trustworthiness of systems where failure is unacceptable.

We are a community of researchers, engineers, and operations people dedicated to creating trustworthiness in critical systems in every functional area of the organization. Our unique organizational structure enables us to adapt to the needs of the innovative projects we deliver.

What We Do: We believe trustworthy systems are built on a formal mathematical foundation. Our researchers apply formal analysis techniques to the design and verification of critical software systems, allowing us to model, analyze, and mathematically prove that a system behaves exactly as intended under all circumstances. With clients including NASA, DARPA, AWS, and the DoW, we leverage our cutting-edge research to deliver high assurance solutions and tools that enhance security, reliability, and operational efficiency across sectors including aerospace & defense, healthcare, semiconductors, and fintech.

Research Engineers at Galois design and develop advanced technologies for safety- and security-critical systems, networks, and applications. Engineers work in small team settings and must successfully interact with clients, partners, and other employees in a highly cooperative, collaborative, and intellectually challenging environment.

Life at Galois: People are the foundation of Galoisโ€™s success. As an employee-owned company, we care not only about the technologies we develop, but also the path we take to create them. Galois operates under a highly collaborative organizational model that encourages leadership and teamwork and respects the individuals.

For more on our culture and organizational structure, visit Life at Galois.

About This Role

Galois is hiring a Software Engineer/Researcher to join our team! This role will primarily focus on advancing the state of the art in programming language theory research and implementation. Researchers in this role will use their expertise in Formal Methods and Programming Languages to conduct rigorous formal verification of software and systems, ensuring they meet the highest security standards.

Responsibilities

As a Research Engineer, you will have the following responsibilities:

  • Requirements gathering: engaging the client in a series of discussions, where each iteration refines the needs of the client, and leads to the suggestion of means to meet those needs.
  • Architecture and design: constructing high-level architectural descriptions of software systems, and constructing deeper program designs by fleshing out architecture prototypes. Architectures must be designed with assurance in mind, determining where and how formal methods are to be applied.
  • Implementation: extending design prototypes through to a finished product, with care taken to ensure robustness and ease of use.
  • Formal verification: use mechanical reasoning tools such as theorem provers and model checkers to demonstrate or analyze desired security and correctness properties of systems.
  • Testing and validation: constructing and regularly conducting system, unit, and regression tests, and conducting semi-formal validation and verification.
  • Technology research and development: conducting speculative research and development of cutting-edge technology, and incorporating that technology in product prototypes.
  • Technical infrastructure development: developing (designing, implementing, and maintaining) tools to be used within Galois, and developing library code to be shared among projects.
Key Qualifications
  • Education:
    • A minimum of a Bachelor's degree in computer science or equivalent is required.
    • An MS or PhD in CS or a related field is desirable but optional.
  • Required Technical Expertise:
    • A programming languages background and experience with formal methods.
    • Must have hands-on experience developing software and applying formal verification techniques.
    • Familiarity with diverse formal methods, such as model checking, theorem proving, program analysis, and formal semantics of programming languages, and demonstrated expertise in at least one such area.
    • Experience in all aspects of software engineering practices.
    • Fluent in using semi-formal methods such as Haskell or other functional programming languages, including executable formal specifications.
  • Required General Skills:
    • Must work well with customers, including building rapport, identifying needs, and communicating with strong written, verbal, and presentation skills.
    • Must be highly motivated and able to self-manage deadlines and quality goals.
  • Preference will be given to candidates with one or more of the following technical expertise:
    • Direct experience in developing high-assurance systems and/or security products.
    • Experience with Model Based Systems Engineering tools, with expertise in SysML and AADL.
    • Knowledge of hardware engineering languages and platforms such as VHDL, Chisel, Bluespec, SystemVerilog, and Verilog.
Security and Citizenship Requirement

U.S. citizenship is required, as only U.S. citizens are eligible for a security clearanceโ€‹.

Location

We enjoy a hybrid work environment, and candidates may be based out of any of our offices in Arlington, VA, Dayton, OH, Minneapolis, MN, or Portland, OR. Additionally, being located in Boston, MA is also welcome.

Benefits

We offer a robust benefits package to provide for your and your familyโ€™s well-being, including:

  • Employee Stock Ownership Plan (ESOP)
  • 401(k) retirement plan with 5% employer match and immediate vesting
  • Fully paid medical insurance plans and dental and vision reimbursement plan
  • Health Savings Account (HSA) with generous employer contributions
  • Mental health and wellbeing support through our employee assistance program
  • 5 weeks of paid time off and 9 days of paid company holidays each year
  • 16 weeks of fully paid parental leave (available for birth, adoption, and fostering)
  • 1 week of fully paid โ€œBlue Skyโ€ innovation time each year to pursue your interests

For more information on our benefits, visit Careers at Galois.

Compensation

Compensation is based on the value of your results, not your value as an employee or person. The compensation process, individual salaries, and criteria for salary changes are transparent to the entire company.

For more information about our forward-looking and transparent approach to pay, visit Compensation.

Equal Employment Opportunity

Galois is an Equal Opportunity Employer and does not discriminate in employment opportunities or practices based on race, ethnicity, national origin, ancestry, color, sex, gender identity or expression, sexual orientation, marital or parental status, pregnancy or childbirth, disability, age, religion, creed, genetic information, veteran status, or any other characteristic protected by applicable federal, state, or local law. We encourage and respect different viewpoints and experiences as being essential to the process of innovation. We strive to acquire, grow, and maintain a diverse and inclusive workplace that applies principles and standards equitably while supporting the needs and accommodations of the individual employee.

Consistent with the Americans with Disabilities Act (ADA) and federal and state laws, it is the policy of Galois, Inc. to provide reasonable accommodation when requested by a qualified applicant or employee with a disability, unless such accommodation would cause an undue hardship. If you require reasonable accommodation in completing the employment application, interviewing, completing any pre-employment testing, or otherwise participating in the employee selection process, please contact peopleoperations@galois.com.