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Theorem Proving Jobs in Massachusetts (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 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.

... 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 ...

Math 2 Tutor

Cambridge, MA ยท 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

Waltham, MA ยท 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

Lynn, MA ยท 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

Somerville, MA ยท 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

Lowell, MA ยท 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

Boston, MA ยท 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

Northampton, MA ยท 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

Lawrence, MA ยท 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

Quincy, MA ยท 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

Newton, MA ยท 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?

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 popular job titles related to Theorem Proving jobs in Massachusetts?

For Theorem Proving jobs in Massachusetts, the most frequently searched job titles are:

What job categories do people searching Theorem Proving jobs in Massachusetts look for?

The top searched job categories for Theorem Proving jobs in Massachusetts are:

What cities in Massachusetts are hiring for Theorem Proving jobs?

Cities in Massachusetts with the most Theorem Proving job openings:

Infographic showing various Theorem Proving job openings in Massachusetts as of August 2026, with employment types broken down into 1% As Needed, 75% Full Time, 14% Part Time, and 10% Contract. Highlights an 83% Physical, 3% Hybrid, and 14% Remote job distribution.

Formal Verification Research Specialist (Grant Funded)

Bridgewater State College

Bridgewater, MA โ€ข On-site

Temporary

This job post hasย expired today.ย Applications are no longer accepted.


Key responsibilities

  • Develop, test, debug, and maintain formal proofs in Lean 4 and Mathlib.

  • Translate mathematical definitions, lemmas, theorem statements, and proof arguments into precise Lean formulations.

  • Serve as an intermediary among mathematicians, large language models, automated theorem-proving systems, and the Lean compiler.


Job description

Posting Details
Position Information
Title
Formal Verification Research Specialist (Grant Funded)
Department Summary
Tbd
Position Summary
This NSF-funded, full-time research position will support a project at the intersection of mathematics, computer science, formal verification, and artificial intelligence. The project is working toward a complete and reproducible formal certification in Lean of a fundamental result in harmonic analysis concerning the HRT conjecture. The Research Associate will translate mathematical arguments into formally verified Lean 4 proofs, develop and improve proof code, maintain reproducible project documentation, and support the careful use and evaluation of large language models and automated theorem-proving systems. A central responsibility will be to serve as a human-in-the-loop bridge among mathematicians, large language models, specialized theorem-proving systems, and the Lean compiler and kernel.
This is a grant funded position through December 18, 2026.
Position Type
Temporary
Essential Duties
  • Develop, test, debug, and maintain formal proofs in Lean 4 and Mathlib.
  • Translate mathematical definitions, lemmas, theorem statements, and proof arguments into precise Lean formulations.
  • Use OpenAI ChatGPT, particularly GPT-5.6 and successor models, to support mathematical analysis, theorem decomposition, Lean code development, proof repair, documentation, and project planning.
  • Use Aristotle and comparable AI-assisted theorem-proving systems to propose, test, repair, and review Lean proofs.
  • Serve as an intermediary among mathematicians, large language models, automated theorem-proving systems, and the Lean compiler.
  • Design effective prompts, task specifications, and iterative proof-development workflows.
  • Review AI-generated mathematical arguments and Lean code for correctness, completeness, theorem-statement fidelity, and compatibility with the project's exact Lean environment.
  • Diagnose Lean elaboration errors, type errors, missing dependencies, indexing problems, and theorem-interface mismatches.
  • Run local builds, regression tests, dependency inspections, axiom checks, machine audits, and reproducibility tests.
  • Ensure that certified proofs do not rely on sorry, admit, unauthorized axioms, unsafe declarations, implemented_by, or other unverified shortcuts.
  • Maintain the project's Git and GitHub repositories, branches, commits, proof files, build scripts, and checkpoint records.
  • Prepare detailed technical documentation, including theorem specifications, proof plans, build instructions, audit reports, reviewer packets, and reproducibility packages.-
  • Compare formal Lean statements with the corresponding results in the mathematical literature.-
  • Participate in regular project meetings and clearly communicate progress, technical obstacles, mathematical concerns, and proposed solutions.

Required Qualifications
  • Master's degree in Computer Science or Mathematics.
  • Demonstrated programming ability and experience with typed or functional programming languages.
  • Experience with Lean 4, Mathlib, or a closely comparable interactive theorem prover.
  • Ability to read advanced mathematical arguments and translate them into formal definitions, theorem statements, and proof obligations.
  • Experience using OpenAI ChatGPT or comparable frontier large language models for coding, mathematical reasoning, research, or formal verification.
  • Ability to work with GPT-5.6 and successor OpenAI models in advanced reasoning, coding, tool-use, and compiler-assisted workflows.
  • Ability to use or quickly learn Aristotle and comparable AI-assisted theorem-proving systems.
  • Experience working in Linux or another command-line development environment.
  • Experience with Git, GitHub, branching, commits, merges, and reproducible source-control practices.
  • Ability to diagnose compiler errors and systematically repair formal proof code.
  • Strong analytical, organizational, and problem-solving skills.- Excellent written communication and technical documentation skills.
  • Ability to work independently while following strict proof-development, testing, audit, and review procedures.
  • Availability to work 40 hours per week for the duration of the appointment.

Preferred Qualifications
  • Substantial experience developing nontrivial formal proofs, mathematical libraries, or verified software in Lean 4 and Mathlib.
  • Direct experience using Aristotle or another specialized AI-assisted theorem-proving model or agent to generate, repair, test, or review Lean proofs.
  • Background in formal methods, automated reasoning, programming-language theory, proof engineering, functional programming, or a closely related area.
  • Experience designing and operating agentic or multi-model workflows that integrate large language models, external tools, APIs, version-control systems, compilers, proof assistants, and human review.
  • Demonstrated experience critically auditing AI-generated mathematical arguments, formal proof code, or software for correctness, completeness, reproducibility, and compliance with stated requirements, rather than accepting model-generated output without independent verification.

Work Environment
Bridgewater State University complies with the Americans with Disabilities Act (ADA) to provide reasonable accommodation to qualified applicants and employee with disabilities. To request a reasonable accommodation for the application process, please complete and submit this electronic form: https://cm.maxient.com/reportingform.php?BridgewaterStateUniv&layout_id=18
Special Conditions for Eligibility
Please be aware that employment at Bridgewater State University is contingent upon completion of a successful background check. Bridgewater State University is an E-Verify employer.
EEO Statement
Bridgewater State University is an equal employment opportunity employer and considers all qualified candidates without regard to race, color, religion, sex, age, national origin, disability status, veteran status, gender identity, sexual orientation, genetic information, pregnancy or pregnancy-related condition or any other characteristic protected by law.
Hourly Rate (Non-Exempt)
$18
Posting Detail Information
Posting Number
T02552P
Open Date
Application Review Start Date
Close Date
Open Until Filled
Special Instructions to Applicants
Please note the following information is required to complete your application for this position:
*a minimum of one (1) employment history entry.