Computer Science 383
Theory of Computation
Fall 2018
Me:

Office Hours:

Overview
This is a course in the theory of computation, a field that is considerably older than computers and computer science itself. We will look at issues related to what can be algorithmically computed and what can be said about the computational process, including time and space complexity. Although the models of computation we will use are quite concrete and easily programmed, our interest in them is primarily mathematical. We will write many proofs, just as you did in the Algorithms class, but the proofs in this class tend to be more constructive and less abstract.
Learning Goals: Here is what you should get out of this course:
Textbook:
Automata Theory, Languages, and Computation, 3rd edition by Hopcroft, Motwani, and Ullman; Pearson/AddisonWesley 2007. I am sorry this is expensive, but I think it is the clearest book available on the theory of computation.
Exams and Grading:
We will have 2 inclass exams during the semestezr and a comprehensive final exam. Here is how the grades for the course will be composed:
 Homework 35%
 Inclass exams 20% each
 Final exam 25%
Note that the final exam will be Wednesday, December 19 at 2pm. This time is set by the Registrar and I cannot change it for the class or for individuals. If you have issues with this time you should talk to Bo Arbogast or Donna Russell in the AARC immediately.
Homework
Most of your learning in the course will come from the homework. The homework assignments will take time  I would guess about 6 to 10 hours per week. You are welcome, and even encouraged, to form a study group to work on the homework. Mathematics is all about communication. The most important thing you can take from this course is the ability to formulate a convincing mathematical proof and that requires an audience to be convinced. So you can work out solutions to the problems in a group. However, you must write up your own statement of the solutions.
Your solutions should be submitted as a hard copy; I will not accept homework by email.. Many proofs in this class consist of diagrams, and those can be handdrawn as long as they are legible. Narrative proofs should be typed. I don't particularly care if you use TeX or MS Word, but I want printed, not handwritten text. There is a reason for requiring you to type solutions. We are all sloppy with handwritten copy; we cross things out, draw arrows to new text, and so forth. Mathematics requires precision and careful use of language. It is much easier to see if a proof is correct if it is typed.
At the top of your solutions say who you worked with on the assignment. If you worked with person X and your solution isn't quite clear, person X's solution might help us to understand yours. Somewhere, preferably at the end, include the Honor Pledge: "I have written these solutions myself; I have given them to no one else"
Late homework: You can hand in one assignment up to 2 days late without penalty. Other assignments can be handed in up to 2 days late but are docked 50%. Except in extreme circumstances (I would need to hear from your class dean) homework that is more than 2 days late will receive no credit. For the most part you are better off turning in an assignment that is incomplete than turning it in late.
The Honor Code
The Honor Code has a straightforward application to this class. On all of the exams you are responsible for your own work; you may neither give nor receive any information during the course of the exam. If someone takes an exam at a different time than the rest of the class there may be no communication concerning the exam between that person and anyone else in the class, not even whether the exam was easy or difficult. For the homewok you are welcome to talk to anyone you like but you must write your own solutions.
Course outline:
Week Day Topic Notes Week 1 September 47
Introduction
Finite Automata; Regular Languages
Chapters 1,2 Week 2 September 1014 Regular Expressions.
The equivalence of Regular Expressions and Finite Automata
Chapter 3 Week 3 September 1719 The Pumping Lemma
Determining whether a language is regular
Chapter 4
No class on September 21
eek 4 September 2428 Propeties of Regular Languages
Chapter 4
Week 5 October 15 ContextFree Grammars and Languages Chapter 5
Exam I: Reular Languages
Week 6 October 812 Pushdown Automata Chapter 6 Week 7 October 1519 ContextFree Languages and Pushdown Automata Chapter 7 FALL BREAK! Week 8 Oct 29  Nov 2 Properties of ContextFree Languages Chapter 7 Week 9 November 59 Turing Machines Chapter 8
Week 10 November 1216 Computability Chapter 9
Exam 2: ContextFree Languages
Week 11 November 1921 The Halting Problem Chapter 9
Week 12 November 2630 Decidability and Recursive Enumerability
Chapter 9 Week 13 December 37 Cook's Theorem Chapter 10 Week 14 December 1012 NP Completeness Chapter 10 Final Exam: Wednesday, December 19, 24 PM