Theory of Computation
Basic knowledge of discrete mathematical structures (sets, graphs, functions etc) and proof techniques (induction, proof by contradiction etc) is assumed. A brief overview of basics will be given in the first lecture.
Other than this, the course should be self-contained. Experience with programming, basic algorithms and data structures would be useful, but not necessarily required.
Professor: Subhash Khot, WWH 416, 212-998-4859, Office hours: Wed, 10:30-12:30.
Course Syllabus (Click on the link)
Homeworks and Exams
There will be 5 homeworks (30%), midterm (30%) and endterm (40%).
Note: in the homeworks, you must show all the steps (e.g. while converting NFA to regular expression) and give justification/proof (unless the answer or conclusion is self-evident).
Tentative homeworks are as below. There could be changes as we go along. Deadlines will be announced; typically, deadlines will be 7-10 days after all relevant topics have been covered in class.
Textbook for the course: Introduction to the Theory of Computation, Michael Sipser (3nd Ed, 2nd Ed will work too).
I started writing notes on P/NP, but realized that I already have notes from an earlier course. These are below. There is some repetition in the background material and the intended audience was slightly different, but should hopefully be reasonable.