CSE540 Theory of Computation (Fall 2013)
The purpose of the course is to study the capabilities and limitations of computers by formulating mathematically various models of idealized computers and establishing rigorously for these models what kinds of problems can and cannot be solved, as well as what kinds of problems can and cannot be solved with a reasonable amount of computing resources.
Topics include but not limited to:
Computability theory: Turing machines, Church-Turing thesis, halting problem and unsolvability, universal Turing machine, introductory recursion theory;
Complexity theory: complexity measures, time and space hierarchy, NP-complete problems, intractability;
Advanced topics: probabilistic algorithms, interactive proofs, cryptography, computational game theory, quantum computation. (Exact topics covered depend on the class progress.)
An introductory treatment of Turing machines would typically be part of an undergraduate course in the theory of computation, which is a prerequisite for this course. Though I will cover this topic, the treatment will be fairly speedy, so as to leave enough time for complexity theory and advanced topics.
Instructor: Jing Chen
Office: 1416 Computer Science Building
Fall 2013 Office Hour: Tuesday 2:00-3:00pm and Wednesday 4:00-5:00pm
TA: Roozbeh E. Soorchaei as a quarter-TA for grading psets and exams.
Prerequisite: CSE303 or equivalent ones
Lecture: MW 2:30-3:50pm, Melville Library E4330
Textbook: Introduction to the Theory of Computation, M. Sipser, 2nd or 3rd edition.
Recommended reading: Computational Complexity, S. Arora and B. Barak.
∑ Please fill out the sign-up and background questionnaire and bring it back to me if you havenít already done so. You can also get a hard copy in class on Aug. 28.
∑ Please login to http://blackboard.stonybrook.edu/ to access board photos.
∑ Problem Set 1 is here (also at Blackboard), due by Wednesday, September 25 at 2:30pm.
∑ Problem Set 2 is here (also at Blackboard), due by Wednesday, October 9 at 2:30pm.
∑ Midterm will be on Wednesday, October 16 in class, covering materials till the end of Chapter 7.
∑ Midterm statistics: total score 60, max 53, min 9, median 38, mean 34.9, standard dev. 12.1.
∑ Problem Set 3 is here (also at Blackboard), due by Wednesday, November 13 at 2:30pm.
∑ Office hour on Monday, Dec. 9, 2pm-4pm.
The grade will be based on four parts.
∑ Homework (30%)
Homework assignments will be bi-weekly or tri-weekly. You can discuss the problems with other students taking this class, and actually you are encouraged to do so. But I suggest you not discuss a problem with others until you have made serious effort trying to solve it by yourself.
You must write up and submit your solution individually, and you must acknowledge for each problem with whom you have discussed. If more than one student submits substantially the same writeup for a particular problem, or if there is some other evidence that the writeup you submit is not your own work, I will regard this as evidence that you are trying to get a higher grade without actually doing the required work and may choose either to make a corresponding deduction from your homework score or (in egregious cases) to pursue the matter as a case of academic dishonesty.
Note! If you really donít know how to solve a problem after making serious effort, write ďI honestly donít know how to solve this problemĒ and youíll get 25% of it. While if you ďmake upĒ a solution by putting together some random sentences, you may get lower than that. Indeed, I believe that to realize that you donít understand something is an important step towards understanding it.
∑ Midterm (25%)
October 16th in class.
∑ Final (40%)
December 10th (Tuesday), 5:30pm-8:00pm, the same classroom.
∑ Class participation (5%)
I encourage you to answer questions and to ask questions in class, as I believe that interaction is an efficient way of learning.
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