**Class time**. 9:30-10:45pm, Tuesday/Thursday, room 613, Warren
Weaver Hall.

**As
of November 3, the
class will meet in room 201, Warren
Weaver Hall. **

First meeting: Tuesday, September 2.

**Final Date: **Note changed time.
Thursday, December 18, 10:00-11:50am,
room 201,
Warren
Weaver Hall.

**Office hours**. Monday 4-5; Tuesday 11-12, and by
appointment.

**Mailing list, home page**. There is a class mailing list: http://www.cs.nyu.edu/mailman/listinfo/v22_0453_001_fa08;
please join it. The course home page can be accessed from
the department home page (http://www.cs.nyu.edu/) by following the
links to course home pages and then to this course, or directly at http://www.cs.nyu.edu/courses/fall08/V22.0453-001/index.html

**Course Goal and Syllabus**. The goal of this class is to
develop the
ability to evaluate and write mathematical claims in computer science,
so
as to be able to:

Broad ly speaking, this course will be studying what can and cannot be computed, and when something can be computed how simply can it be done. The specific topics covered will include proofs techniques, finite automata and regular languages, pushdown automata and context free languages, decidable and undecidable problems, and NP-completeness.Judge when a problem is solved (and equally important, when it is not yet solved). Explain such mathematical claims clearly and precisely.

**Assignments**. There will be more or less weekly homeworks.
Late
homeworks will not be accepted (except in the event of illness or other
unavoidable circumstances). If for some reason you will be unable to
hand in a homework on time, please discuss it with me
beforehand. While you may discuss homework problems with
your fellow students, you must write up your solutions in your own
words. Be aware that you are unlikely to perform well on exams
unless you gain practice at problem solving on the homeworks.

**Academic Integrity**. Please take note of the
course and
departmental policy on this matter: http://www.cs.nyu.edu/web/Academic/Undergrad/academic_integrity.html

**Assessment**. The homeworks will comprise 40% of the overall
grade, the midterm 20% and the final 40%. However, if the grade
on the final is better than the midterm grade it will replace the
midterm grade. Exams will be closed book.

**Required text**. There is no required text. I will be providing
handouts that cover the course material. There is no textbook that is
particularly close to my approach to the material. If you want a
textbook, you might consider: Michael Sipser, Introduction to the
Theory of Computation*,* Thomson. The second edition has the
advantage of including solutions to a selection of
problems. However, let me point out that the approach I will be taking
diverges quite a bit from this text. Another possible text is: Daniel
I.A. Cohen, Introduction to
Computer Theory. This text provides a lot of examples and can be
quite helpful. However, it does not cover material for the whole
course, and the approach it takes differs even more from the one I will
be using in this course.

**Homework Details**. You may handwrite your homework, legibly of
course, if you prefer, rather than typeset it. In my experience,
when typesetting, often too much effort is spent on the appearance of
the homework and minor yet significant errors are overlooked.
Also, if your homework solution has multiple pages, please staple
them; please don't fold down the corners or use paperclips, for the
pages are much more likely to come apart. Finally, if
handwriting, please use an easy to read ink color (blue or black, not
red
or green).

Homeworks and handouts

Course content

Mathematical background

Finite Automata, Part 1

Finite Automata, Part 2

Finite Automata, Part 3

Finite Automata, Part 4

Pushdown Automata, Part 1

Pushdown Automata, Part 2

Pushdown Automata, Part 3

Pushdown Automata, Part 4

Pushdown Automata, Part 5

Pushdown Automata, Part 6

Computability, Part 1

Computability, Part 2

Undecidability, Part 1

Undecidability, Part 2

NP Completeness, Part 1

NP Completeness, Part 2

NP Completeness, Part 3

Homework 1

Homework 1, updated

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 8

Homework 9

Homework 10

Homework 11

Homework 12

Homework 13

Last modified: December 11, 2008