Using mathematics to validate network configurations

Static analysis of deployed networks helps reduce the risk that sensitive data leaks across partitions, supporting the security and reliability of global-scale networking.

Key takeaways
  • AWS's Tiros automated-reasoning tool can analyze the topology of a deployed AWS Cloud WAN network as often as every hour. It gives a mathematical demonstration that the network matches its isolation specifications, with no dynamic packet sampling.
  • Tiros works from Cloud WAN route tables, attachments, and policy documents, which specialized software converts into logical propositions. Tiros then derives the reachable paths, and the system alerts an operator if reachability differs from the expected segmentation.
Was this answer helpful?

Corporations, banks, hospitals, and academic institutions all rely on wide-area networks (WANs) to connect their local networks across geographic regions. Within a WAN, however, it’s often necessary to isolate different computational resources from each other: for example, coding environments used to test new website features should remain separate from active websites.

Customers rely on such isolation — or segmentation — to help protect sensitive data; a single misconfiguration of segmentation rules could allow traffic to reach unintended parts of a network or allow data to cross organizational boundaries.

Historically, validating network segmentation has involved mapping the network by sending packets through it. The size and complexity of modern networks, however, make it impractical to build a complete map this way, so organizations instead rely on a sampling process that sends packets through only portions of the network. The result is that network segmentation is rarely validated exhaustively.

By using Tiros, Amazon Web Services’ automated-reasoning tool for analyzing network connectivity, we’re offering an alternative to dynamic sampling that is designed to validate segmentation across all modeled paths.

Previously, Tiros had been used in customer-facing services such as Amazon Inspector, VPC Reachability Analyzer, and Network Access Analyzer. These services focus on reachability, or determining whether some sequence of valid requests leads from one network resource to another. Our key insight is that if we can determine the reachable paths in a network, then we can also identify the absence of paths between particular resources.

Fundamentally, automated segmentation validation is a static process: it examines a network without relying on dynamic packet traffic. Using Tiros, we can analyze the topology of a deployed network as frequently as every hour. These analyses provide a mathematical demonstration that the topological description aligns with our isolation specifications.

Automated segmentation validation

In modern networking, a virtual network sits on top of the physical network of servers and wires and other components. Segmentation is achieved through logical rules and routing policies rather than physical isolation of network hardware.

We consider the case in which an Amazon Web Services (AWS) customer is using the AWS Cloud WAN service to configure and deploy a large organizational WAN. To validate network segmentation using Tiros, we first collect the customer’s Cloud WAN configuration from route tables, “attachments” (which are like a virtual cable within the network), and policy documents. Specialized software converts these configurations into logical propositions that describe network behavior. Now, we have a configuration that’s expressed logically, so that automated reasoning tools can analyze it.

Then we ask Tiros, “Which attachments can reach which attachments with which destination IPs?” Tiros generates the satisfying assignments it can derive from the network description, each of which corresponds to a path. Our system checks that no path exists between segments that the policy declares should be off limits from each other. If actual reachability matches the expected segmentation, the validation check succeeds; if they differ, the system alerts an operator.

Virtual private clouds and network predicates

Consider a global company that uses Cloud WAN to connect resources all over the world and manage a website for selling and supporting its products. When the company updates its website, it does so from a replica of the public-facing website inside the development environment within Cloud WAN. The production environment needs to be strictly contained, so that tests and changes not yet ready for deployment don’t reach the live website, which is maintained in the separate production environment. So the company’s software developers write a policy, or a collection of logical rules, that captures the need for this segmentation.

Segmentation validation
Two policy-defined network segments, production and development, across two regions, us-east-1 and us-west-2.

The policy defines two segments, production and development, across two regions, us-east-1 and us-west-2, as in the figure above. Attachment policies use tags to assign Virtual Private Clouds (VPCs, logically separated networks within larger networks) to various other network segments. In this policy, VPCs are tagged such that VPC-prod-use1 and VPC-prod-usw2 join the production segment and VPC-dev-use1 joins the development segment, as in the figure.

Observe, also, that in the figure, VPC-prod-use1 and VPC-dev-use1 are destinations within the same address space, 10.0.0.0/16. In this context, segmentation becomes critical; if the VPCs were deployed within the same segment, or segmentation was misconfigured, a packet destined for that address space would have a nondeterministic destination, VPC-prod-use1 or VPC-dev-use1. Practically speaking, such a misconfiguration could cause customer traffic to erroneously arrive in a development VPC.

Using Tiros, we take the core network configuration above and build a logical model of the network composed of rules (conditional predicates) and facts (unconditional predicates). Once the model is built, we can query Tiros for the instances of segmentation it derives for the attachments in the model.

When given predicates, facts, and a query, Tiros generates the assignments associated with each VPC and IP for which the query is provable within the model. If, for instance, Tiros finds no assignment where a production VPC reaches a development VPC, or a development VPC reaches a production VPC, then the results indicate that the core network’s segmentation aligns with the stated policy.

Future work

Segmentation validation demonstrates how automated reasoning can provide the kind of assurance that packet-based testing cannot. By encoding network configurations as logical propositions and using Tiros to explore the possible paths in the model, we can check segmentation against the stated policy rather than just sampling it. Customers do not need to run separate reachability tests.

This approach is not unique to Cloud WAN. Across AWS, automated reasoning is used to analyze properties of systems that are too large to test exhaustively. Using an engine called Zelkova, IAM Access Analyzer helps you identify whether a policy could grant access to a resource from outside your account and uses the same reasoning to help identify S3 buckets that are shared publicly or with other accounts. Similarly, VPC Reachability Analyzer helps determine whether one resource can reach another in your network. They all share the same foundation: translating configurations into logic and checking whether the properties you care about hold.

Research areas

Related content

US, WA, Seattle
Are you excited to play a strategic role in defining the customer experience on Tablets? Come join a dynamic, customer-obsessed, world-class science team to completely reshape the customer experience on our tablets. Key job responsibilities Using Amazon’s large-scale computing resources, you will design and deploy state-of-the-art recommendation models. You will ask research questions about customer behavior, design state-of-the-art models that help customers discover content, and deploy these models to production alongside other engineers. You will participate in the Amazon ML community and mentor other engineers with a strong interest in and knowledge of ML and generative AI. Your work will directly benefit customers! A day in the life We are looking for a passionate, hard-working, and talented Applied Scientist who has experience developing state-of-the-art models and deploying them to production. You will have an opportunity to make an enormous impact on the design, architecture, and implementation of products used everyday by real customers! About the team The Alexa Tablet team is a world-class team that delivers high-quality, innovative products that are loved by our customers. Our team focuses on spinning many of Amazon’s flywheels with bar-raising mobile experiences on our tablets. Over the last 12 years, we have built 4.0+ star rated products, and we continue to look for ways to scale our business. Join us as we continue our ambitious journey which will give you the opportunity to deliver disruptive products with global impact.
IN, KA, Bengaluru
Amazon.com’s Product Detail Page team is looking for talented, motivated and passionate applied scientist to be part of the design and development of a highly scalable multi-tiered shopping application to provide the best possible online shopping experience for Amazon customers world-wide. Our team is comprised of talented applied scientists, developers, testers, program managers, designers and product managers tasked with the singular goal to create THE world's best buying experience. Scientists on this team develop the next-generation technologies and experiences that change how millions interact and shop online. To provide the best possible online shopping at the scale of the web requires ideas from every area of computer science, including distributed computing, large-scale system design, machine learning, natural language processing, data compression and user interface design; the list goes on and is growing every day. We need our scientists to be versatile and always eager to tackle new problems as we continue to push technology forward. Our team leverages sophisticated econometric, machine learning, and big data technologies to help customers to discover the right products at the right prices from millions of trusted sellers billions of times a day. If you are looking for a career-defining opportunity on one of the most customer centric and business impacting teams within Amazon, we’d love to hear from you. We are looking for an Applied Scientist to help build the next generation of Detail Page optimization algorithms. These new set of algorithms will incorporate the continually changing preferences of our customers and continue to scale with numerous new programs that Amazon is introducing for our customers. You will work with multiple Amazon businesses and programs to identify big business opportunities and propose new business features and technical systems to improve customer experience on Amazon Detail Page, Search Page and many other widgets throughout the website. You will be responsible for the quality of algorithm design and will get the opportunity to present your ideas and share results of your deliverables with Amazon executives on a frequent basis. You will get an opportunity to work with senior scientists to define and enforce broad, company-wide technical standards in optimization techniques, statistical modeling and simulation techniques, and/or data analytics.
US, WA, Seattle
Applied Scientist II (AMZ1513176) (Multiple Positions), Amazon Data Services, Inc., Seattle, WA. Participate in the design, development, evaluation, deployment and updating of data-driven models and analytical solutions for machine learning (ML) and/or natural language (NL) applications. Develop and/or apply statistical modeling techniques (e.g. Bayesian models and deep neural networks), optimization methods, and other ML techniques to different applications in business and engineering. Routinely build and deploy ML models on available data. Research and implement novel ML and statistical approaches to add value to the business. Mentor junior engineers and scientists. (AMZ1513176) 40 hrs/week, Mon-Fri, 8:00 a.m. - 5:00 p.m. Salary Range: $163,617 - $193,200/yr. Amazon.com is an Equal Opportunity – Affirmative Action Employer – Minority/Female/Disability/Veteran/Gender Identity/Sexual Orientation MINIMUM REQUIREMENTS: Master's degree or foreign equivalent in Computer Science, Machine Learning, Statistics, or a related field and (1) one year of research or work experience in the job offered, or as a Research Scientist, Research Assistant, Software Engineer, or a related occupation. Employer will accept a Bachelor's degree or foreign equivalent in Computer Science, Machine Learning, Statistics, or a related field and (5) five years of research or work experience in a related occupation as equivalent to the Master's degree and one year of research or work experience. Must have (1) one year of research or work experience in the following skill(s): programming in Java, C++, Python, or equivalent programming language; and conducting the analysis and development of various supervised and unsupervised machine learning models for moderately complex projects in business, science, or engineering. Employer will accept any suitable combination of education, training or experience. Multiple Positions Available. Amazon is a total compensation company. Depending on the position offered, equity, sign-on payments, and other forms of compensation may be provided as part of a total compensation package, in addition to a full range of medical, financial, and/or other benefits. For more information, visit: https://www.aboutamazon.com/workplace/employee-benefits.#0000
US, WA, Seattle
nnovators wanted! Are you an entrepreneur? A builder? A dreamer? This role is part of an Amazon Special Projects team that takes the company’s Think Big leadership principle to the extreme. We focus on creating entirely new products and services with a goal of positively impacting the lives of our customers. No industries or subject areas are out of bounds. If you’re interested in innovating at scale to address big challenges in the world, this is the team for you. Here at Amazon, we embrace our differences. We are committed to furthering our culture of inclusion. We have thirteen employee-led affinity groups, reaching 40,000 employees in over 190 chapters globally. We are constantly learning through programs that are local, regional, and global. Amazon’s culture of inclusion is reinforced within our 16 Leadership Principles, which remind team members to seek diverse perspectives, learn and be curious, and earn trust. Our team highly values work-life balance, mentorship and career growth. We believe striking the right balance between your personal and professional life is critical to life-long happiness and fulfillment. We care about your career growth and strive to assign projects and offer training that will challenge you to become your best.
US, WA, Bellevue
Are you curious about turning complex data into actionable insights that shape how millions of customers experience Amazon? Do you enjoy building analytical models, testing hypotheses, and seeing your work drive real business decisions? We are looking for a Data Scientist to join our team at Amazon. In this role, you will apply statistical techniques, machine learning, and data analysis to solve well-defined business problems and deliver measurable improvements. You will work with large-scale datasets from multiple sources, build and validate models, and create metrics that quantify impact. This is an opportunity for a self-starter who is comfortable with ambiguity in data, thrives on collaboration with science and engineering partners, and is eager to grow their craft in a fast-paced environment. Key job responsibilities - Use statistical methods, machine learning algorithms, and data analysis techniques to translate well-defined business problems into data science solutions that improve processes and systems. - Gather, clean, and integrate large datasets from multiple sources to build and validate models, ensuring data integrity and adherence to best practices throughout the pipeline. - Design and deliver metrics, visualizations, and reports that compare results against benchmarks and original project goals, enabling clear and informed decision-making for stakeholders. - Collaborate with business, science, and engineering teams to understand customer needs, identify opportunities, and develop scalable analytical solutions using tools such as Python, R, or SQL. - Evaluate opportunities to integrate generative artificial intelligence tools into workflows, refining outputs and applying responsible practices to augment productivity and solution quality. About the team Our team is focused on using data science to help Amazon make smarter, faster decisions that benefit customers. We build analytical models and machine learning solutions that operate at scale, and we value rigorous methodology paired with clear communication. You will join a collaborative group of scientists and engineers who are passionate about learning from one another and pushing the boundaries of what data can do. If you are excited about growing your career in an inclusive, supportive environment where your contributions have tangible impact, we would love to hear from you.
CH, Zurich
Are you a MS or PhD student interested in a 2026 Applied Science Internship in the field of Robotics? Do you enjoy diving deep into hard technical problems and coming up with solutions that enable successful products that improve the lives of people in a meaningful way? If this describes you, come join our research teams at Amazon. Key job responsibilities As an Applied Science Intern, you will have access to large datasets with billions of images and video to build large-scale machine learning systems. Additionally, you will analyze and model terabytes of text, images, and other types of data to solve real-world problems and translate business and functional requirements into quick prototypes or proofs of concept. We are looking for scientists capable of using a variety of domain expertise combined with machine learning and statistical techniques to invent, design, evangelize, and implement state-of-the-art solutions for never-before-solved problems.
US, NY, New York
Twitch is looking for an Applied Scientist to lead computer vision and video manipulation work within Amazon Publisher Monetization (APM). You will apply large language models (LLMs), vision-language models (VLMs), and traditional computer vision techniques to build products that directly improve how millions of Twitch creators produce content and how viewers engage with it. This is a high-visibility project backed by senior leadership, and you will have the autonomy to evaluate both first-party and third-party solutions to deliver the highest quality results quickly. If you thrive in a fast-paced, startup-like environment where your scientific decisions shape the product roadmap, we want to hear from you. Key job responsibilities Design and deploy computer vision and video manipulation models using LLMs, VLMs, and traditional techniques, taking solutions from research prototype to production. Partner with senior Product and Twitch leadership to translate customer needs into well-defined scientific problems and deliver end-to-end solutions. Evaluate and integrate generative AI capabilities across Amazon Bedrock and third-party platforms, selecting the approach that maximizes product quality. Drive the team's scientific agenda by proposing new initiatives, authoring technical documents, and contributing to external publications. Mentor fellow scientists and engineers through code reviews, design guidance, and technical assessments that raise the overall quality bar. A day in the life You will split your time roughly evenly between independent research and collaborative sessions. Mornings often start with focused solo work — benchmarking a new VLM, writing model code, or analyzing experiment results. Midday you join working sessions with Product and Twitch leadership to align on requirements or review progress. Afternoons shift between pairing with engineers on production integration and mentoring teammates on evaluation methodology. Weekly science reviews and bi-weekly roadmap syncs keep the team aligned without over-scheduling your calendar. About the team The APM science team supports all of Amazon's Publisher Monetization efforts, building the models and systems behind Twitch's creator tools and ad experiences. The team includes applied scientists, software engineers, and product managers who collaborate daily to move ideas from whiteboard to production. We operate with a startup mentality — moving fast, wearing multiple hats, and iterating closely with Twitch and Product partners. We are accelerating investment in computer vision and generative AI, and this role will be central to that expansion.
TW, TPE, Hsinchu City
Are you passionate about robotics and research? Do you want to solve real customer problems through innovative technology? Do you enjoy working on scalable research and projects in a collaborative team environment? Do you want to see your science solutions directly impact millions of customers worldwide? At Amazon, we hire the best minds in technology to innovate and build on behalf of our customers. Customer obsession is part of our company DNA, which has made us one of the world's most beloved brands. We’re looking for current PhD or Master students with a passion for robotic research and applications to join us as Robotics Applied Scientist II Intern/Co-ops in 2027 to shape the future of robotics and automation at an unprecedented scale across. For these positions, our Robotics teams at Amazon are looking for students with a specialization in one or more of the research areas in robotics such as: robotics, robotics manipulation (e.g., robot arm, grasping, dexterous manipulation, end of arm tools/end effector), autonomous mobile robots, mobile manipulation, movement, autonomous navigation, locomotion, motion/path planning, controls, perception, sensing, robot learning, artificial intelligence, machine learning, computer vision, large language models, human-robot interaction, robotics simulation, optimization, and more! We're looking for curious minds who think big and want to define tomorrow's technology. At Amazon, you'll grow into the high-impact engineer you know you can be, supported by a culture of learning and mentorship. Every day brings exciting new challenges and opportunities for personal growth. By applying to this role, you will be considered for Robotics Applied Scientist II Intern/Co-op (2027) opportunities across various Robotics teams at Amazon with different robotics research focus, with internship positions available for multiple locations, durations (3 to 6+ months), and year-round start dates (winter, spring, summer, fall). Amazon intern and co-op roles follow the same internship structure. "Intern/Internship" wording refers to both interns and co-ops. Amazon internships across all seasons are full-time positions during vacation, and interns should expect to work in office, Monday-Friday, up to 40 hours per week typically between 9am-6pm. Specific team norms around working hours will be communicated by your manager. Interns should not have other employment during the Amazon work-day. Applicants should have a minimum of one quarter/semester/trimester remaining in their studies after their internship concludes. The robotics internship join dates, length, location, and prospective team will be finalized at the time of any applicable job offers. In your application, you will be able to provide your preference of research interests, start dates, internship duration, and location. While your preference will be taken into consideration, we cannot guarantee that we can meet your selection based on several factors including but not limited to the internship availability and business needs of this role.
US, WA, Seattle
Amazon Prime Air is seeking an Applied Scientist Manager to lead the team developing our next-generation drone navigation system. You will lead a team of 8–12 Applied Scientists, Research Scientists and Software Development Engineers who invent, model, develop, test, and deploy the state estimation algorithms. Your team will own the full algorithm lifecycle: early prototypes and modeling, simulation and hardware-in-the-loop testing, then flight test and deployment across a rapidly growing delivery network. You will also manage the feedback loop that brings real-world operational data back into the team to inform next generation of algorithm improvements. Because our navigation software is safety-critical, you will work closely with the Controls, Perception, Safety, Simulation and Flight Test teams to deliver robust, fully verified algorithms. This role combines deep technical leadership with people leadership. You will hire and develop science-focused engineers, run a fast-paced agile development team and help shape the technical roadmap for autonomous navigation at Prime Air. Key job responsibilities - Lead a team of 8–12 Applied Scientists, Research Scientists and Software Development Engineers developing novel navigation and state estimation algorithms, including Kalman filtering (EKF/UKF, error-state), tightly and loosely coupled GNSS/INS integration, multi-sensor fusion and observability analysis, integrity monitoring (RAIM, fault detection and exclusion), and visual navigation (VIO/VSLAM). - Drive day-to-day execution across the full development lifecycle: prototyping, modeling, simulation testing, hardware-in-the-loop testing, flight test and deployment to the production fleet. - Lead the team in a scrum-style agile process: set sprint priorities, manage dependencies and deliver against program milestones. - Build mechanisms that capture operational learnings from our delivery network, such as flight data, anomalies and performance trends, and feed them into the requirements and design of each new generation of algorithms. - Set technical direction and raise the bar on scientific rigor. - Partner with Flight controls, Perception, Hardware, Safety, Simulation and Flight Operations teams to define interfaces, requirements and verification evidence. - Hire, mentor and develop Applied Scientists, Research Scientists and SDEs, building a diverse, high-performing team with a strong safety culture. - Communicate technical strategy, trade-offs, risks and results clearly in writing and in reviews with senior leadership.
US, WA, Seattle
Innovators wanted! Are you an entrepreneur? A builder? A dreamer? This role is part of an Amazon Special Projects team that takes the company’s Think Big leadership principle to the next-level. We focus on creating entirely new products and services with a goal of positively impacting the lives of our customers. No industries or subject areas are out of bounds. If you’re interested in innovating at scale to address big challenges in the world, this is the team for you. Here at Amazon, we embrace our differences. We are committed to furthering our culture of inclusion. We have thirteen employee-led affinity groups, reaching 40,000 employees in over 190 chapters globally. We are constantly learning through programs that are local, regional, and global. Amazon’s culture of inclusion is reinforced within our 16 Leadership Principles, which remind team members to seek diverse perspectives, learn and be curious, and earn trust. Our team highly values work-life balance, mentorship and career growth. We believe striking the right balance between your personal and professional life is critical to life-long happiness and fulfillment. We care about your career growth and strive to assign projects and offer training that will challenge you to become your best.