Automated Reasoning: Symbolic Model Checking

EIT Digital

About this Course

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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.

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Intermediate Level

Basic logic and programming on a bachelor level.

Approx. 13 hours to complete

English

Subtitles: English

Instructor

Hans Zantema

prof.dr.

Department of Mathematics and Computer Science

3,113 Learners

2 Courses

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Intermediate Level

Basic logic and programming on a bachelor level.

Approx. 13 hours to complete

English

Subtitles: English

Offered by

EIT Digital

EIT Digital is a European education and innovation organisation with a mission 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.

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Syllabus - What you will learn from this course

Week

Week 1

1 hour to complete

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 hour to complete

5 videos (Total 44 min)

5 videos

General introduction6m

Model Checking9m

Computation Tree Logic11m

Computation Tree Logic Algorithm10m

Computation Tree Logic Example7m

3 practice exercises

Size of state space10m

CTL equivalence10m

CTL example10m

Week

Week 2

1 hour to complete

BDDs part 1

In this module BDDs (binary decision diagrams) are introduced as decision trees with sharing. They represent boolean functions.

1 hour to complete

4 videos (Total 33 min)

4 videos

Representing Boolean Functions8m

Decision Trees7m

Decision Trees 29m

BDDs8m

3 practice exercises

Decision tree10m

Reduced ordered decision tree10m

ROBDD10m

Week

Week 3

2 hours to complete

BDDs part 2

After some examples of BDD, the algorithm is presented and discussed to compute the ROBDD of any propositional formula.

2 hours to complete

4 videos (Total 35 min)

4 videos

BDD Examples11m

BDD Algorithm9m

BDD algorithm 26m

BDD Algorithm Example7m

3 practice exercises

BDD quiz 120m

BDD quiz 220m

BDD algorithm30m

Week

Week 4

9 hours to complete

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 hours to complete

4 videos (Total 39 min), 3 readings, 3 quizzes

4 videos

BDD Algorithm CTL9m

An example: foxes and rabbits8m

Deadlock checking in a network10m

Networks, BMC, conclusions10m

3 readings

NuSMV source of foxes and rabbits problem10m

Introduction10m

Explanation packet switching networks and file describing routing function1h 10m

3 practice exercises

Problem 1: colored marbles1h

Problem 2: reaching equal values2h

Problem 3: deadlocks in packet switching networks4h

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Automated Reasoning: Symbolic Model Checking

Automated Reasoning: Symbolic Model Checking