CSC 8510: Theory of Computability
Spring 2015

 

v Homework assignments

v Lecture notes

Meeting on Thursdays, 6:15-9:00 PM, Mendel Hall G87  

Course Home Page: http://www.csc.villanova.edu/~japaridz/8510/

Instructor: Dr. G. Japaridze

 

Teaching Assistant: Ms. Description: Description: Description: Description: Description: https://webaccess.villanova.edu/owa/14.2.328.11/themes/resources/clear1x1.gifDescription: Description: Description: Description: Description: https://webaccess.villanova.edu/owa/14.2.328.11/themes/resources/clear1x1.gifLiji Mathew

Textbook:
"Introduction to the Theory of Computation" (3rd edition) By Michael Sipser. Cengage Learning, 2013. ISBN 978-1-133-18779-0

Description and goals: This course is about what computers can and cannot do. It approaches this question in a strict mathematical fashion. The goal of the course is to expand your mind and give you conceptual tools for solving theoretical and practical problems.

Topics and Schedule (tentative):

  1. Regular Languages (1 week)
  2. Context-free Languages (1 week)
  3. The Church-Turing Thesis (1 week)
  4. Decidability (1 week)
  5. Reducibility (1 week)
  6. Time Complexity (4 weeks)
  7. Space Complexity (3 weeks)
  8. Advanced topics (2 weeks)

Grading: Your grade will be based on the quizzes. They will be given every Thursday.  A quiz will typically have two questions: one from the latest homework assignment, and one from some earlier homework assignment. Occasionally, however, questions may be asked that are not exactly on the list of homework problems yet are similar or closely related to the latter; if you have done homework with understanding (as opposed to memorization),   answering such questions  should not be a problem.


External links (video lectures):

P vs. NP and the Computational Complexity Zoo

Ø  P vs. NP and the Computational Complexity Zoo [10 min]

Ø  The P vs NP Problem [61 min]  by Michael Sipser

Ø  The Church-Turing Thesis: Story and Recent Progress [66 min]  by Yuri Gurevich

Ø  The Mathematics of Alan Turing [51 min] by Angus MacIntyre

Ø  Quantum Computing and the Limits of the Efficiently Computable [70 min] by Scott Aaronson

Ø  A Mathematical Mystery Tour [49 min]

Ø  Quantum Computer [collection]