Acerca de este Curso
4.2
24 calificaciones
5 revisiones

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel intermedio

Aprox. 21 horas para completar

Sugerido: 5 weeks of study, each with around 2.h hours work...

Inglés (English)

Subtítulos: Inglés (English)

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Nivel intermedio

Aprox. 21 horas para completar

Sugerido: 5 weeks of study, each with around 2.h hours work...

Inglés (English)

Subtítulos: Inglés (English)

Programa - Qué aprenderás en este curso

Semana
1
3 horas para completar

Module 1: Computational Tree Logic

We introduce Labeled Transition Systems (LTS), the syntax and semantics of Computational Tree Logic (CTL) and discuss the model checking algorithms that are necessary to compute the satisfaction set for specific CTL formulas. ...
6 videos (Total 61 minutos), 3 readings, 4 quizzes
6 videos
Introduction13m
Semantics of CTL13m
Model Checking CTL9m
The Until Operator12m
The Always Operator9m
3 lecturas
Script 1 and 2.110m
Script 2.2 and 2.310m
Script 2.420m
4 ejercicios de práctica
Formulate for yourself6m
Test your understanding of CTL semantics14m
Check your understanding of CTL20m
Model checking eventually, always and until22m
Semana
2
2 horas para completar

Discrete Time Markov Chains

We enhance transition systems by discrete time and add probabilities to transitions to model probabilistic choices. We discuss important properties of DTMCs, such as the memoryless property and time-homogeneity. State classification can be used to determine the existence of the limiting and / or stationary distribution. ...
5 videos (Total 49 minutos), 2 readings, 5 quizzes
5 videos
Evolution in Time13m
Transient probabilities9m
State classification5m
Steady-state probabilities12m
2 lecturas
Script 3.1 and 3.210m
Script 3.310m
5 ejercicios de práctica
Evolution of DTMCs6m
Compute transient probabilities10m
Classification of DTMC states True or False?14m
State classification16m
Steady-state computation12m
Semana
3
2 horas para completar

Probabilistic Computational Tree Logic

We discuss the syntax and semantics of Probabilistic Computational Tree logic and check out the model checking algorithms that are necessary to decide the validity of different kinds of PCTL formulas. We shortly discuss the complexity of PCTL model checking. ...
5 videos (Total 36 minutos), 3 readings, 6 quizzes
5 videos
Model checking and the Next operator7m
Time-bounded Until6m
Backwards computation4m
Unbounded Until8m
3 lecturas
Script: 4.1 and 4.210m
Script: 4.3.1 and 4.3.225m
Script 4.3.310m
6 ejercicios de práctica
PCTL Syntax8m
Checking PCTL next4m
Test your understanding of PCTL Until6m
Checking time-bounded until16m
Checking unbounded until10m
Test your understanding of PCTL6m
Semana
4
2 horas para completar

Continuous Time Markov Chains

We enhance Discrete-Time Markov Chains with real time and discuss how the resulting modelling formalism evolves over time. We compute the steady-state for different kinds of CMTCs and discuss how the transient probabilities can be efficiently computed using a method called uniformisation. ...
5 videos (Total 57 minutos), 2 readings, 6 quizzes
5 videos
Generator matrix11m
Steady-state probabilities11m
Triple Modular Redundancy11m
Uniformisation12m
2 lecturas
Script: 5.1 and 5.220m
Script: 5.315m
6 ejercicios de práctica
Generator matrix6m
Test your understanding of CTMCs6m
Steady state probability in CTMCs10m
Identifying BSCCs12m
Test your understanding of Uniformisation6m
Uniformisation12m

Instructor

Avatar

Anne Remke

Prof. dr.
Computer Science

Acerca de 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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