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System Validation (3)

Requirements by modal formulas

Jan Friso Groote

System Validation is the field that studies the fundamentals of system communication and information processing. It allows automated analysis based on behavioural models of a system to see if a system works correctly. We want to guarantee that the systems does exactly what it is supposed to do. The techniques put forward in system validation allow to prove the absence of errors. It allows to design embedded system behaviour that is structurally sound and as a side effect forces you to make the behaviour simple and insightful. This means that the systems are not only behaving correctly, but are also much easier to maintain and adapt. ’Requirements by modal formulas' is the third course that shows you how to specify requirements for the automata in order to establish the correct relation between the requirements and the behaviour of the system. Reading material. J.F. Groote and M.R. Mousavi. Modeling and analysis of communicating systems. The MIT Press, 2014.

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What's inside

Syllabus

Basic modal formulas
In this module you learn how to specify requirements on behaviour. First Hennessy-Milner logic is explained, which is subsequently extended with fixed-points. Using this logic you will be able to formally characterise virtually any behavioral property on the behavior of software. This varies from simple properties such as a system is free from deadlocks, to complex properties such as "in a warehouse the controllers will instruct all the robots such that my ordered item will appear for certain within finite time at the output".
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Advanced modal formulas
This module elaborates on modal formulas. It shows how to use data in the formulas which makes modelling of complex properties much easier. Furthermore, it shows how fairness properties can be modelled in the framework using nested fixed point operators. The last lectures introduce parameterised boolean equation systems and boolean equation systems as important technology to establish that a modal formula is valid for a particular specified behaviour.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Requires an existing intermediate comprehension and aptitude for software system concepts
Emphasizes the logic and formulaic specification of software requirements and system behavior
Covers advanced topics in modal logic and equation systems, providing a deep understanding of system validation techniques
Provides a solid theoretical foundation for students pursuing careers in software engineering or related fields
Introduces fairness properties and parameterised boolean equation systems, which are essential concepts in system validation
Instructors, Jan Friso Groote, are recognized for their expertise in formal methods and system validation

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Reviews summary

Well-received validation course

Learners say that this highly recommended course provides a clear introduction to modal mu-calculus. They give it high praise and say that they would recommend it to others interested in modal logic.

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in System Validation (3): Requirements by modal formulas with these activities:
Review information on automata
By revisiting material on automata, students will recall and refresh important concepts that will be used in this course.
Show steps
  • Read the assigned textbook chapters on automata
  • Review class notes or online resources on automata
  • Complete practice problems on automata
Review Hennessy-Milner Logic
Hennessy-Milner logic is fundamental to understanding the formal specification of system requirements. By reviewing this topic before taking this course, you'll strengthen your foundation and be better prepared to succeed.
Show steps
  • Read a textbook chapter or online tutorial on Hennessy-Milner logic.
  • Solve practice problems involving Hennessy-Milner logic.
  • Create a cheat sheet summarizing the key concepts of Hennessy-Milner logic.
Review basic probability theory
Strengthens a foundational skill required for understanding system validation techniques.
Browse courses on Probability Theory
Show steps
  • Review textbooks or online resources on probability theory.
  • Solve practice problems and exercises.
Seven other activities
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Follow the 'Automata Theory' video series by NPTEL
Provides a comprehensive overview of automata theory, which is essential for understanding the foundations of system validation.
Browse courses on Automata Theory
Show steps
  • Watch the video lectures and take notes.
  • Solve the practice problems and exercises.
  • Participate in the discussion forums.
Read 'Principles of Modal Logic' by Krister Segerberg
Reinforces the theoretical foundations of modal logic.
Show steps
  • Analyze the syntax and semantics of modal logic.
  • Examine different types of modal systems.
  • Explore advanced topics such as bisimulation and model checking.
Solve practice problems on modal logic from MIT OpenCourseWare
Provides opportunities to apply modal logic concepts to specific problems.
Show steps
  • Download and print the practice problems.
  • Solve the problems on your own.
  • Check your answers against the provided solutions.
Join a study group to discuss course concepts
Engages in peer learning and collaboration.
Show steps
  • Find a study group or create one with classmates.
  • Set regular meeting times and locations.
  • Prepare discussion topics in advance.
  • Collaborate to understand concepts and solve problems.
Develop a simulation model of a simple system using automata
Applies the principles of system validation by creating a simulation model.
Browse courses on System Validation
Show steps
  • Define the system requirements and scope.
  • Design the automata to model the system behavior.
  • Implement the simulation model using a programming language.
  • Test and validate the simulation model.
Write a blog post explaining the benefits of system validation
Reinforces understanding of system validation through writing and communication.
Show steps
  • Research the topic and gather information.
  • Write an outline for the blog post.
  • Draft the blog post content.
  • Edit and proofread the blog post.
Attend a workshop on formal methods for system validation
Provides exposure to industry practices and advanced concepts.
Show steps
  • Search for workshops and conferences on system validation.
  • Register for the workshop and prepare in advance.
  • Attend the workshop and actively participate.

Career center

Learners who complete System Validation (3): Requirements by modal formulas will develop knowledge and skills that may be useful to these careers:
Software Developer
Software Developers are responsible for designing, developing, and maintaining software applications. They work closely with other members of the development team to ensure that the software is efficient, reliable, and user-friendly. The System Validation course can be helpful for Software Developers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to design and develop software that is more robust and reliable.
Systems Engineer
Systems Engineers are responsible for designing and implementing complex systems. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the systems meet the needs of the business and the customers. The System Validation course can be helpful for Systems Engineers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to design and implement systems that are more efficient and effective.
Software Architect
Software Architects are responsible for designing and implementing the architecture of software systems. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the architecture is scalable, reliable, and secure. The System Validation course can be helpful for Software Architects because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to design and implement software architectures that are more efficient and effective.
Systems Analyst
Systems Analysts are responsible for analyzing and designing computer systems. They work with users to understand their needs, and then design and implement systems that meet those needs. The System Validation course can be helpful for Systems Analysts because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to design and implement systems that are more efficient and effective.
Verification and Validation Engineer
Verification and Validation Engineers are responsible for ensuring that software and hardware products meet the required standards and quality. They work closely with developers and QA Analysts to identify and fix bugs, and to ensure that the products are user-friendly and meet the needs of the business. The System Validation course can be helpful for Verification and Validation Engineers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement effective testing strategies, and to identify and fix bugs more efficiently.
Quality Assurance (QA) Analyst
A Quality Assurance (QA) Analyst is responsible for ensuring that software products meet the required standards and quality. They work closely with developers to identify and fix bugs, and to ensure that the software is user-friendly and meets the needs of the business. The System Validation course can be helpful for QA Analysts because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement effective testing strategies, and to identify and fix bugs more efficiently.
Test Engineer
Test Engineers are responsible for testing software and hardware products to ensure that they meet the required standards and quality. They work closely with developers and QA Analysts to identify and fix bugs, and to ensure that the products are user-friendly and meet the needs of the business. The System Validation course can be helpful for Test Engineers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement effective testing strategies, and to identify and fix bugs more efficiently.
Web Developer
Web Developers are responsible for designing and developing websites. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the websites are user-friendly and meet the needs of the business and the customers. The System Validation course may be helpful for Web Developers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to design and develop websites that are more efficient and effective.
Operations Research Analyst
Operations Research Analysts are responsible for using mathematical and analytical techniques to solve business problems. They work with a variety of data sources, including structured and unstructured data, and use statistical and machine learning techniques to identify patterns and trends. The System Validation course may be helpful for Operations Research Analysts because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement operations research models that are more efficient and effective.
Project Manager
Project Managers are responsible for planning, executing, and controlling projects. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the projects are completed on time, within budget, and to the required quality. The System Validation course may be helpful for Project Managers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement project plans that are more efficient and effective.
User Experience (UX) Designer
User Experience (UX) Designers are responsible for designing and implementing user interfaces for software and hardware products. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the user interfaces are user-friendly and meet the needs of the business and the customers. The System Validation course may be helpful for UX Designers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to design and implement user interfaces that are more efficient and effective.
Machine Learning Engineer
Machine Learning Engineers are responsible for developing and implementing machine learning models. They work with a variety of data sources, including structured and unstructured data, and use statistical and machine learning techniques to identify patterns and trends. The System Validation course may be helpful for Machine Learning Engineers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement machine learning models that are more efficient and effective.
Data Scientist
Data Scientists are responsible for collecting, analyzing, and interpreting data to help businesses make better decisions. They work with a variety of data sources, including structured and unstructured data, and use statistical and machine learning techniques to identify patterns and trends. The System Validation course may be helpful for Data Scientists because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and implement data analysis techniques that are more efficient and effective.
Product Manager
Product Managers are responsible for managing the development and launch of new products. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the products meet the needs of the business and the customers. The System Validation course may be helpful for Product Managers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to develop and launch products that are more efficient and effective.
Technical Writer
Technical Writers are responsible for creating and maintaining documentation for software and hardware products. They work with a variety of stakeholders, including engineers, designers, and marketers, to ensure that the documentation is clear, concise, and accurate. The System Validation course may be helpful for Technical Writers because it provides a deep understanding of the fundamentals of system communication and information processing. This knowledge can be used to create and maintain documentation that is more efficient and effective.

Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in System Validation (3): Requirements by modal formulas.
An advanced book on model checking that delves into the mathematical underpinnings of the field. Suitable for readers with a strong background in computer science and mathematics.
A classic work on Petri net theory, providing a comprehensive overview of the field. Suitable for researchers and practitioners interested in formal modeling and analysis of concurrent systems.
A foundational work on temporal logic of actions, which provides a framework for reasoning about the behavior of systems in terms of their actions and their effects.
A comprehensive treatment of model checking, covering both theoretical foundations and practical applications. Suitable for researchers and practitioners in the field of formal verification.
An introduction to formal logic and its applications in computer science, covering topics such as propositional and predicate logic, automata theory, and model checking.
An introduction to computability and complexity theory, covering topics such as Turing machines, computability, and computational complexity.
A comprehensive treatment of concurrent and distributed programming, providing a solid foundation in the principles and techniques used in the design and implementation of concurrent systems.
A comprehensive textbook on computer networks, covering topics such as network architecture, routing, and network security.
A comprehensive textbook on operating systems, covering topics such as process management, memory management, and file systems.
A comprehensive textbook on computer architecture, covering topics such as processor design, memory hierarchies, and input/output systems.

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