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.
提供：
Automated Reasoning: Symbolic Model Checking
EIT Digital
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中級レベル
Basic logic and programming on a bachelor level.
約13時間で修了
英語
字幕：英語
シラバス - 本コースの学習内容
1時間で修了
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時間で修了
5件のビデオ （合計44分）
5件のビデオ
Model Checking9 分
Computation Tree Logic11 分
Computation Tree Logic Algorithm10 分
Computation Tree Logic Example7 分
3の練習問題
Size of state space10 分
CTL equivalence10 分
CTL example10 分
1時間で修了
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時間で修了
4件のビデオ （合計33分）
3の練習問題
Decision tree10 分
Reduced ordered decision tree10 分
ROBDD10 分
2時間で修了
BDDs part 2
After some examples of BDD, the algorithm is presented and discussed to compute the ROBDD of any propositional formula.
2時間で修了
4件のビデオ （合計35分）
3の練習問題
BDD quiz 120 分
BDD quiz 220 分
BDD algorithm30 分
9時間で修了
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時間で修了
4件のビデオ （合計39分）, 3 readings, 3 quizzes
4件のビデオ
An example: foxes and rabbits8 分
Deadlock checking in a network10 分
Networks, BMC, conclusions10 分
3件の学習用教材
NuSMV source of foxes and rabbits problem10 分
Introduction10 分
Explanation packet switching networks and file describing routing function1 時間 10 分
3の練習問題
Problem 1: colored marbles1 時間
Problem 2: reaching equal values2 時間
Problem 3: deadlocks in packet switching networks4 時間
提供：
EIT Digital
EIT Digital is a pan-European organization whose 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 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. 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. Please visit https://www.eitdigital.eu/eit-digital-academy/
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