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Jan Friso Groote

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System Validation (3): Requirements by modal formulas

EIT Digital

About this Course

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 enforces 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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Advanced Level

Approx. 3 hours to complete

English

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Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Advanced Level

Approx. 3 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Jan Friso Groote

Full professor

Mathematics and Computer Science, Eindhoven University of Technology

13,757 Learners

4 Courses

Offered by

EIT Digital

EIT Digital is a European education and innovation organisation with a mission to foster digital technology innovation and entrepreneurial talent for economic growth and quality of life. By linking education, research, and business, EIT Digital empowers digital top talent for the future.

EIT Digital provides online and face-to-face Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 leading technical universities around Europe. The universities deliver a unique blend of the best of technical excellence and entrepreneurial skills and mindset to digital engineers and entrepreneurs at all stages of their careers. The academic partners support Coursera’s bold vision to enable anyone, anywhere, to transform their lives by accessing the world’s best learning experience. This means that EIT Digital gradually shares parts of its entrepreneurial and academic education programmes to demonstrate its excellence and make it accessible to a much wider audience. EIT Digital’s online education portfolio can be used as part of blended education settings, in both Master's and Doctorate programmes, and for professionals as a way to update their knowledge.

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Syllabus - What you will learn from this course

Week1

Week 1

2 hours to complete

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".

2 hours to complete

6 videos (Total 78 min), 2 readings, 1 quiz

Week2

Week 2

2 hours to complete

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.

2 hours to complete

5 videos (Total 59 min), 1 reading, 1 quiz

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System Validation (3): Requirements by modal formulas

System Validation (3): Requirements by modal formulas

About this Course