Welcome to the cutting-edge course on Quantitative Model Checking for Markov Chains! As technology permeates every aspect of modern life—Embedded Systems, Cyber-Physical Systems, Communication Protocols, and Transportation Systems—the need for dependable software is at an all-time high. One tiny flaw can lead to catastrophic failures and enormous costs. That's where you come in.
Quantitative Model Checking
Gain insight into a topic and learn the fundamentals.
4.2
(52 reviews)
Intermediate level
Some related experience required
13 hours to complete
3 weeks at 4 hours a week
Flexible schedule
Learn at your own pace
Details to know
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Assessments
27 assignments
Taught in English
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There are 5 modules in this course
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.
What's included
6 videos3 readings4 assignments
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.
What's included
5 videos2 readings5 assignments
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.
What's included
5 videos3 readings6 assignments
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.
What's included
5 videos2 readings6 assignments
We introduce the syntax and semantics of Continuous Stochastic Logic and describe how the different kinds of CSL formulas can be model checked. Especially, model checking the time bounded until operator requires applying the concept of uniformisation, which we have discussed in the previous module.
What's included
5 videos2 readings6 assignments
Instructor
Instructor ratings
4.3 (5 ratings)
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5
Reviewed on Aug 26, 2023
It's not my specialty, just thank you
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