Courses » Model Checking

Model Checking


Embedded software control many of the safety-critical systems that we deal with in everyday life: for instance, modern cars are equipped with software to automatically change gears; pacemakers come with a software controller to regulate heart beat; aircrafts have flight control software, and so on. Typically, these (software) controllers have to make decisions based on inputs coming from multiple interacting components. As the size and the number of interacting components increase, the design and verification of controllers becomes increasingly complex.

Model checking is a field of research that addresses this challenge by making use of mathematical models in the design and verification of controllers. The main idea is to look at the system as a mathematical model - commonly used models are extensions of finite-state machines. Design requirements on the controller then get translated to suitable questions on these mathematical models.The goal of this course is to understand some of the techniques and tools used in the process of model-checking.  

The lecture videos of this course can also be found here.


This course would be relevant to CSE/EE/ECE/IT students. It would also cater to engineers in the industry who are looking forward to rigorous design and testing methods.


Familiarity with basic algorithms and finite-state machines preferable


B. Srivathsan obtained his B. Tech and M. Tech (CSE) from IIT Bombay; and Ph.D from the University of Bordeaux, France. He worked as a post-doctoral researcher at RWTH university - Aachen, Germany. He has been a faculty member at CMI since 2013. His main research interest is in the formal verification of real-time systems.  


The exam is optional. Exams will be on 1 November 2015 and 8 November 2015. 

Time: 1pm-4pm

The list of cities where the exam will be conducted will be available in the registration form.

Registration url: Announcements will be made when the registration form is open for registrations, most likely in July 2015. 
The online registration form has to be filled and the certification exam fee of Rs 1000, needs to be paid.


Certificate will be given to those who register and write the exam. Certificate will have your name, photograph and the score in the final exam. 
It will also have the logos of NPTEL and IIT Madras. It will also be e-verifiable on the 
nptel.ac.in/noc website.


Week 1: Modeling systems as Finite-state machines
Week 2: Using the model-checker NuSMV
Week 3: Linear-time properties for verification
Week 4: Regular properties – automata over finite words
Week 5: Omega-regular properties – automata over infinite words
Week 6: Model checking omega-regular properties
Week 7: Linear Temporal Logic (LTL)
Week 8: Algorithms for LTL
Week 9: Computation Tree Logic (CTL)
Week 10: Algorithms for CTL
Week 11: Models with timing constraints – timed automata
Week 12: More on timed automata
Week 13: Probabilistic models I
Week 14: Probabilistic models II
Week 15: Probabilistic models  III

Principles of Model-checking, Christel Baier and Joost-Pieter Katoen, MIT Press (2008)