About this Course
4.1
57 ratings
19 reviews
Have you ever experienced software systems failing? Websites crash, calendar not synchronising, or even a power blackout. Of course you have! But did you know that many of these errors are the result of communication errors either within a system or between systems? Depending on the system, the impact of software failures can be huge, even resulting in massive economic damage or loss of lives. Software, and in particular the communication between software-intensive systems, is very complex and very difficult to get right. However, we _need_ dependability in the systems we use, directly or indirectly, to support us in our everyday lives. System Validation helps you to design embedded system behaviour that is structurally sound. It also enforces you to make the behaviour simple and insightful; systems that are designed for sound behaviour are also much easier to maintain and adapt. System Validation is the field that studies the fundamentals of system communication and information processing. The techniques put forward in system validaton allow to prove the absence of errors. This first course ’Automata and behavioural equivalences', builds the foundation of the subsequent courses, showing you how to look at system behaviour as state machines. It discusses behavioural equivalences and illustrate these in a number of examples and quizzes. This course explains labelled transition systems or automata to model behaviour for especially software controlled systems. An important question is when two behaviours represented by such automata are equal. The answer to this question is not at all straightforward, but the resulting equivalences are used as powerful tools to simplify complex behaviour. This allows us to exactly investigate and understand the behavioural properties of such systems precisely. Especially, in the combination with hiding of behaviour, equivalence reduction is a unique technique to obtain insight in the behaviour of systems, far more effective than simulation or testing. Using this insight we can make the models correct. Such models form an excellent basis for the production of concise, reliable and maintainable software. This course is part I of the set of courses for System Validation. System Validation, as a set of courses, is part of a larger EIT Digital online programme called 'Internet of Things through Embedded Systems'....
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Intermediate Level

Intermediate Level

Clock

Approx. 7 hours to complete

Suggested: 3 weeks, 3 to 5 hours per week...
Comment Dots

English

Subtitles: English, Vietnamese...

Skills you will gain

BisimulationFinite-State MachineTransition System
Globe

100% online courses

Start instantly and learn at your own schedule.
Calendar

Flexible deadlines

Reset deadlines in accordance to your schedule.
Intermediate Level

Intermediate Level

Clock

Approx. 7 hours to complete

Suggested: 3 weeks, 3 to 5 hours per week...
Comment Dots

English

Subtitles: English, Vietnamese...

Syllabus - What you will learn from this course

Week
1
Clock
1 hour to complete

Behavioural modelling

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 validaton 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.’Automata and behavioural equivalences' shows you how to look at system behaviour as state machines. It discusses behavioural equivalences and illustrate these in a number of examples and quizzes. This module introduces automata or labelled transition systems as the basic way to model the behaviour of software controlled systems. It subsequently addresses the question when such behaviours are equivalent. Reading material. J.F. Groote and M.R. Mousavi. Modeling and analysis of communicating systems. The MIT Press, 2014....
Reading
5 videos (Total 27 min), 1 reading, 1 quiz
Video5 videos
An automaton as a model for behaviour6m
Non-deterministic behaviour8m
The definition of an automaton5m
The wolf, the goat and the cabbage5m
Reading1 reading
Book exercises15m
Quiz1 practice exercise
Automata to model behaviour10m
Week
2
Clock
1 hour to complete

Basic behavioural equivalences

This module shows the most important equivalences that express when the behaviour of two automata can be considered to be equivalent. It will become obvious that there are multiple of such notions, all fit for use under different circumstances. Furthermore, the all-important notion of the internal or hidden action is introduced with some associated behavioural equivalences....
Reading
6 videos (Total 42 min), 2 readings, 1 quiz
Video6 videos
Strong bisimulation9m
Trace equivalence6m
The internal or τ -action.5m
Branching bisimulation8m
Rooted branching bisimulation6m
Reading2 readings
Book exercises15m
Book exercises15m
Quiz1 practice exercise
Basic behavioural equivalences12m
Week
3
Clock
1 hour to complete

More behavioural equivalences

This module elaborates on the equivalences provided earlier. It is shown how it can be applied, especially to the alternating bit protocol. Furthermore, a number of additional equivalences are introduced. ...
Reading
7 videos (Total 47 min), 1 quiz
Video7 videos
Divergence preserving branching bisimulation3m
Weak trace equivalence2m
Weak bisimulation4m
Language, failure, and completed trace equivalence10m
When to use which behavioural equivalence6m
Transition systems with data, time and probabilities5m
Quiz1 practice exercise
More behavioural equivalences.10m
4.1

Top Reviews

By MTOct 19th 2016

Very interesting and a good fine-tuning experience to my brain relating to systems! Awesome!

By CDDec 14th 2016

Although superficial, it is a very good MOOC for introducing LTS testing.

Instructor

Jan Friso Groote

Full professor
Mathematics and Computer Science, Eindhoven University of Technology

About EIT Digital

EIT Digital is a pan-European education and research-based open innovation organization founded on excellence. Its mission is 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 talents for the future. EIT Digital provides online "blended" Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 reputable universities of technology around Europe. The universities all together 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 and Doctorate programmes, and for professionals as a way to update their knowledge. EIT Digital offers an online programme in 'Internet of Things through Embedded Systems'. Achieving all certificates of the online courses and the specialization provides an opportunity to enroll in the on campus program and get a double degree. These are the courses in the online programme: ...

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • Please look at the reading material of the introduction of this course (first week) and download the pdf on the Blended Master Programme Overview for more information.

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