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
EIT 数字
课程信息
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中级
Basic logic and programming on a bachelor level.
完成时间大约为13 小时
英语（English）
字幕：英语（English）
教学大纲 - 您将从这门课程中学到什么
完成时间为 1 小时
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.
完成时间为 1 小时
5 个视频 （总计 44 分钟）
5 个视频
Model Checking9分钟
Computation Tree Logic11分钟
Computation Tree Logic Algorithm10分钟
Computation Tree Logic Example7分钟
3 个练习
Size of state space10分钟
CTL equivalence10分钟
CTL example10分钟
完成时间为 1 小时
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.
完成时间为 1 小时
4 个视频 （总计 33 分钟）
3 个练习
Decision tree10分钟
Reduced ordered decision tree10分钟
ROBDD10分钟
完成时间为 2 小时
BDDs part 2
After some examples of BDD, the algorithm is presented and discussed to compute the ROBDD of any propositional formula.
完成时间为 2 小时
4 个视频 （总计 35 分钟）
3 个练习
BDD quiz 120分钟
BDD quiz 220分钟
BDD algorithm30分钟
完成时间为 9 小时
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.
完成时间为 9 小时
4 个视频 （总计 39 分钟）, 3 个阅读材料, 3 个测验
4 个视频
An example: foxes and rabbits8分钟
Deadlock checking in a network10分钟
Networks, BMC, conclusions10分钟
3 个阅读材料
NuSMV source of foxes and rabbits problem10分钟
Introduction10分钟
Explanation packet switching networks and file describing routing function1 小时 10 分
3 个练习
Problem 1: colored marbles1小时
Problem 2: reaching equal values2小时
Problem 3: deadlocks in packet switching networks4小时
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