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System Validation: Automata and behavioural equivalences 

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System Validation: Automata and behavioural equivalences
 at 
Coursera 
Overview

Duration

4 hours

Total fee

Free

Mode of learning

Online

Difficulty level

Intermediate

Official Website

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Credential

Certificate

System Validation: Automata and behavioural equivalences
 at 
Coursera 
Highlights

  • Shareable Certificate Earn a Certificate upon completion
  • 100% online Start instantly and learn at your own schedule.
  • Flexible deadlines Reset deadlines in accordance to your schedule.
  • Intermediate Level
  • Approx. 4 hours to complete
  • English Subtitles: English, Vietnamese
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Details Icon

System Validation: Automata and behavioural equivalences
 at 
Coursera 
Course details

More about this course
  • 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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System Validation: Automata and behavioural equivalences
 at 
Coursera 
Curriculum

Behavioural modelling

Welcome

An automaton as a model for behaviour

Non-deterministic behaviour

The definition of an automaton

The wolf, the goat and the cabbage

Book exercises

Automata to model behaviour

Basic behavioural equivalences

Behavioural equivalences

Strong bisimulation

Trace equivalence

The internal or ? -action.

Branching bisimulation

Rooted branching bisimulation

Book exercises

Book exercises

Basic behavioural equivalences

More behavioural equivalences

The alternating bit protocol

Divergence preserving branching bisimulation

Weak trace equivalence

Weak bisimulation

Language, failure, and completed trace equivalence

When to use which behavioural equivalence

Transition systems with data, time and probabilities

More behavioural equivalences.

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System Validation: Automata and behavioural equivalences
 at 
Coursera 

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