About this Course
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Flexible deadlines

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Advanced Level

Approx. 7 hours to complete

Suggested: 11 hours/week...

English

Subtitles: English

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Advanced Level

Approx. 7 hours to complete

Suggested: 11 hours/week...

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
2 hours to complete

Basic modal formulas

In this module you learn how to specify requirements on behaviour. First Hennessy-Milner logic is explained, which is subsequently extended with fixed-points. Using this logic you will be able to formally characterise virtually any behavioral property on the behavior of software. This varies from simple properties such as a system is free from deadlocks, to complex properties such as "in a warehouse the controllers will instruct all the robots such that my ordered item will appear for certain within finite time at the output".

...
6 videos (Total 78 min), 2 readings, 1 quiz
6 videos
Hennessy-Milner logic11m
Identities for HM-logic11m
Dualities6m
Fixed point operators18m
Regular formulas26m
2 readings
Book exercises10m
Book exercises20m
1 practice exercise
Basic Modal Formulas14m
Week
2
1 hour to complete

Advanced modal formulas

This module elaborates on modal formulas. It shows how to use data in the formulas which makes modelling of complex properties much easier. Furthermore, it shows how fairness properties can be modelled in the framework using nested fixed point operators. The last lectures introduce parameterised boolean equation systems and boolean equation systems as important technology to establish that a modal formula is valid for a particular specified behaviour.

...
5 videos (Total 59 min), 1 reading, 1 quiz
5 videos
Alternating fixed points11m
Peterson's algorithm revisited10m
Translation to a Boolean Equation System (BES)12m
Solving a Boolean Equation System11m
1 reading
Book exercises10m
1 practice exercise
Advanced modal formulas12m

Instructor

Avatar

Jan Friso Groote

Full professor
Mathematics and Computer Science, Eindhoven University of Technology

About 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/ ...

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

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