Computer Science Theory Section 001
Class meets 1:10-2:25pm, Mondays and Wednesdays, Room TBA.
Course webpage: https://www.cs.columbia.edu/~aho/cs3261
Columbia Courseworks: https://courseworks.columbia.edu/portal/site/COMSW3261_001_2016_3
Piazza bulletin board: https://piazza.com/columbia/fall2016/comsw3261_001_2016_3/home
Course wiki: https://comsw3261-001-2016-3.wikispaces.columbia.edu/home
In Computer Science Theory you will learn computational thinking
and get to know the fundamental models of computation that underlie
modern computer hardware, software, and programming languages.
You will also discover that there are limits on how quickly computers
can solve some problems and that there are some
problems that no computer can solve.
The course will cover the important formal languages in the Chomsky hierarchy -- the regular sets, the context-free languages, and the recursively enumerable sets -- as well as the formalisms that generate these languages and the machines that recognize them. The course will introduce the basic concepts of computability and complexity theory by focusing on the question, "What are the fundamental capabilities and limitations of computers?" The course will also introduce the untyped lambda calculus, the model of computation underlying functional programming languages.
The concepts covered in this course will be amply illustrated by applications to current programming languages, algorithms, natural language processing, and hardware and software design. The topics covered in Computer Science Theory are required background to many Computer Science upper division courses in programming languages, compilers, natural language processing, computer hardware and logic design, analysis of algorithms, computational complexity, learning theory, and cryptography.
|Pre- or Corequisites|
|COMS W3134 or COMS W3137 Data Structures and Algorithms|
|COMS W3203 Discrete Mathematics|
John E. Hopcroft, Rajeev Motwani, and Jeffrey D. Ullman
Introduction to Automata Theory, Languages, and Computation, Third Edition
Pearson/Addison-Wesley, 2007, ISBN 0-321-45536-3
Introduction to the Theory of Computation, Third Edition
Cengage Learning, 2013
Alfred V. Aho and Jeffrey D. Ullman
Foundations of Computer Science, C Edition
W. H. Freeman, 1995
An online version of this book is available here.
15 % Best four out of five homeworks
40 % Midterm
45 % Final
Five problem sets will be assigned during the semester. Follow the detailed instructions on each problem set.
Post your solutions to each problem set on Courseworks/COMSW3261/Assignments on or before each due date.
Each problem set is worth 100 points and only the four best of your five problem sets will be counted. The aggregate score of these four assignments will constitute 15% of your final grade.
Since only four out five assignments will be counted, this policy will allow you to skip one problem set for whatever reason you choose. Late assignments will not be accepted.
You must write your solutions in your own words by yourself. You can consult the instructor, the TAs, or your fellow students for help but you must acknowledge any sources you use other than yourself on your answers.
You are expected to adhere to the Academic Honesty Policy of the Department of Computer Science.
|firstname.lastname@example.org||Updated June 22, 2016|