This course presents how properties of acting systems and programs can be verified automatically. The basic notion is a transition system: any system that can be described by states and steps. We present how in CTL (computation tree logic) properties like reachability can be described. Typically, a state space may be very large. One way to deal with this is symbolic model checking: a way in which sets of states are represented symbolically. A fruitful way to do so is by representing sets of states by BDDs (binary decision diagrams). Definitions and basic properties of BDDs are presented in this course, and also algorithms to compute them, as they are needed for doing CTL model checking.
Automated Reasoning: Symbolic Model Checking
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Automated Reasoning: Symbolic Model Checking
EIT Digital
Informações sobre o curso
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Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Nível intermediário
Basic logic and programming on a bachelor level.
Aprox. 13 horas para completar
Inglês
Legendas: Inglês
Programa - O que você aprenderá com este curso
1 hora para concluir
CTL model checking
After a general introduction to the MOOC, this module starts by a general description of model checking.Then Computation Tree Logic (CTL) is introduced: a language in which properties on transition systems can be described. The algorithm to check whether such a property holds is given in an abstract setting, leaving implicit how sets of states are represented.
1 hora para concluir
5 vídeos (Total 44 mín.)
5 videos
Model Checking9min
Computation Tree Logic11min
Computation Tree Logic Algorithm10min
Computation Tree Logic Example7min
3 exercícios práticos
Size of state space10min
CTL equivalence10min
CTL example10min
1 hora para concluir
BDDs part 1
In this module BDDs (binary decision diagrams) are introduced as decision trees with sharing. They represent boolean functions. Extra requirements on both decision trees and BDDs are presented from which uniqueness of the representation can be concluded.
1 hora para concluir
4 vídeos (Total 33 mín.)
3 exercícios práticos
Decision tree10min
Reduced ordered decision tree10min
ROBDD10min
2 horas para concluir
BDDs part 2
After some examples of BDD, the algorithm is presented and discussed to compute the ROBDD of any propositional formula.
2 horas para concluir
4 vídeos (Total 35 mín.)
3 exercícios práticos
BDD quiz 120min
BDD quiz 220min
BDD algorithm30min
9 horas para concluir
BDD based symbolic model checking
In this last module the topics of CTL model checking and BDDs are combined: it is shown how BDDs can be used to represent sets of states in a way that the abstract algorithm for CTL mode checking can be used, and much larger state spaces can be dealt with than by using explicit state based model checking. Sever examples are presented.
9 horas para concluir
4 vídeos (Total 39 mín.), 3 leituras, 3 testes
4 videos
An example: foxes and rabbits8min
Deadlock checking in a network10min
Networks, BMC, conclusions10min
3 leituras
NuSMV source of foxes and rabbits problem10min
Introduction10min
Explanation packet switching networks and file describing routing function1h 10min
3 exercícios práticos
Problem 1: colored marbles1h
Problem 2: reaching equal values2h
Problem 3: deadlocks in packet switching networks4h
Sobre EIT Digital
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EIT Digital provides online and blended 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 and Doctorate programmes, and for professionals as a way to update their knowledge.
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