Computational Complexity Theory

By Prof. Raghunath Tewari   |   IIT Kanpur
Learners enrolled: 851
In this course we study mathematical techniques that enable us to show the power and limitations of various computational models. We consider these models by putting restrictions on the resources that the model can use and study the class of problems that are solvable by these models. We also compare the various classes that are thus obtained and try to give relations between them.

Advanced undergraduate and postgraduate students
PREREQUISITES : Design and Analysis of Algorithms, Theory of Computation
Course Status : Ongoing
Course Type : Elective
Duration : 12 weeks
Start Date : 18 Jan 2021
End Date : 09 Apr 2021
Exam Date : 25 Apr 2021 IST
Enrollment Ends : 01 Feb 2021
Category :
  • Computer Science and Engineering
  • Foundations of Computing
Credit Points : 3
Level : Undergraduate/Postgraduate

Course layout

Week 1:NP Completeness
Week 2:Hierarchy Theorems, Space Complexity
Week 3: Space Complexity (contd)
Week 4:Polynomial Hierarchy
Week 5:Circuit Complexity
Week 6:Randomized Complexity
Week 7: Valiant Vazirani Theorem
Week 8:Toda’s Theorem, Complexity of Permanent function
Week 9:Interactive Proofs
Week 10:Interactive Proofs (contd)
Week 11: Circuit Lower Bounds
Week 12:Communication Complexity, PCP Theorem

Books and references

Computational Complexity by Arora and Barak

Instructor bio

Prof. Raghunath Tewari

IIT Kanpur
Raghunath Tewari is an Associate Professor in the department of Computer Science and Engineering at IIT Kanpur. His research interests lie in the areas of computational complexity theory, algorithms and graph theory.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 25 April 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Kanpur .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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