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.
System Validation (3): Requirements by modal formulas
proposé par
EIT Digital
Programme du cours : ce que vous apprendrez dans ce cours
Semaine
1Basic 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".
6 vidéos (Total 78 min), 2 lectures, 1 quiz
6 vidéos
Hennessy-Milner logic11 min
Identities for HM-logic11 min
Dualities6 min
Fixed point operators18 min
Regular formulas26 min
2 lectures
Book exercises10 min
Book exercises20 min
1 exercices pour s'entraîner
Basic Modal Formulas14 min
Semaine
2Advanced 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.
5 vidéos (Total 59 min), 1 lecture, 1 quiz
5 vidéos
Data in modal formulas13 min
Alternating fixed points11 min
Peterson's algorithm revisited10 min
Translation to a Boolean Equation System (BES)12 min
Solving a Boolean Equation System11 min
1 lectures
Book exercises10 min
1 exercices pour s'entraîner
Advanced modal formulas12 min
Enseignants
Jan Friso Groote
Full professorMathematics and Computer Science, Eindhoven University of Technology
À propos de EIT Digital
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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:
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