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
Acerca de este Curso
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Nivel intermedio
Basic logic and programming on a bachelor level.
Aprox. 13 horas para completar
Inglés (English)
Subtítulos: Inglés (English)
Programa - Qué aprenderás en este curso
1 hora para completar
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 completar
5 videos (Total 44 minutos)
5 videos
Model Checking9m
Computation Tree Logic11m
Computation Tree Logic Algorithm10m
Computation Tree Logic Example7m
3 ejercicios de práctica
Size of state space10m
CTL equivalence10m
CTL example10m
1 hora para completar
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 completar
4 videos (Total 33 minutos)
3 ejercicios de práctica
Decision tree10m
Reduced ordered decision tree10m
ROBDD10m
2 horas para completar
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 completar
4 videos (Total 35 minutos)
3 ejercicios de práctica
BDD quiz 120m
BDD quiz 220m
BDD algorithm30m
9 horas para completar
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 completar
4 videos (Total 39 minutos), 3 lecturas, 3 cuestionarios
4 videos
An example: foxes and rabbits8m
Deadlock checking in a network10m
Networks, BMC, conclusions10m
3 lecturas
NuSMV source of foxes and rabbits problem10m
Introduction10m
Explanation packet switching networks and file describing routing function1h 10m
3 ejercicios de práctica
Problem 1: colored marbles1h
Problem 2: reaching equal values2h
Problem 3: deadlocks in packet switching networks4h
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