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Theory of Computing, Spring 2013

The goal of this course is to acquaint the students with the basic concepts in computation theory and to cultivate the students' ability in analyzing the complexity of computational problems.

Announcements

  • 04/24: notes/slides for Turing Machines available.
  • 04/11: old exams: 2000-2006.
  • 04/10: slides from TA sessions: HW#1, HW#2, HW#3, HW#4.
  • 04/10: HW#6 due on 04/17.
  • 04/01: HW#5 due on 04/10.
  • 03/27: reminder: there will be a TA session on 04/10.
  • 03/26: notes/slides for Context-Free Languages available.
  • 03/20: HW#4 due on 03/27.
  • 03/19: reminder: there will be a TA session on 03/20, starting at 1:20PM.
  • 03/18: HW#3 revised; please read the additional note for this revision.
  • 03/13: HW#3 due on 03/20.
  • 03/06: HW#2 due on 03/13.
  • 03/05: notes/slides for Regular Languages available.
  • 02/27: HW#1 due on 03/06.
  • 02/20: notes/slides for Introduction and Mathematical Preliminaries available.

Instructor

Yih-Kuen Tsay (蔡益坤), NTU IM Dept., 3366-1189, Xtsay@im.ntu.edu.twX (between the enclosing pair of X's).

Lectures

Wednesday 2:20~5:20PM, Room B01, Management I.
TA sessions will be scheduled prior to some of the class meetings between 1:20 and 2:10PM.

Office Hours

Tuesday 1:30~2:00PM, Wednesday 1:30~2:00PM, or by appointment, Room 1108, Management II.

TA

Jui-Shun Lai (賴瑞舜), 3366-1205, Xnarration.lai@gmail.comX (between the enclosing pair of X's).
Wei-Hsien Chang (張暐獻), 3366-1205, Xb96705043@ntu.edu.twX (between the enclosing pair of X's).

Textbook

Note: according to the local distributor, the 3rd edition has not arrived in Taiwan. Its main difference from the 2nd edition is a new section on deterministic pushdown automata in Chapter 2. We will follow mainly the 2nd edition, but it should be safe for you to use the 3rd edition (if you manage to get one).

This is an introductory course to the theory of computation. It covers various mathematical models, including automata and Turing machines, for physical computing machineries along with their computational capabilities/limitations. In terms of specific topics and the order of their exposition, the course will follow closely the book by Sipser. (Note: a TA session will precede a class meeting whose date is marked with an *. There are four TA sessions on 3/20, 4/10, 5/22, and 6/5, making up one skipped class meeting.)

  • Introduction and Mathematical Preliminaries (2 weeks: 2/20, 2/27) [notes, slides]
  • Finite Automata and Regular Languages (3 weeks: 3/6, 3/13, 3/20*) [notes, slides]
  • Context-Free Languages and Pushdown Automata (2 weeks: 3/27, 4/10*) [notes,slides]
  • Midterm (2013/04/17)
  • Turing Machines (2 weeks: 4/24, 5/1) [notes, slides]
  • Decidability and Undecidability (1.5 weeks: 5/8, 5/15a) [notes, slides]
  • Reducibility (1.5 weeks: 5/15b, 5/22*) [notes, slides]
  • Time Complexity and NP-Completeness (2 weeks: 5/29, 6/5*) [notes, slides]
  • Final (2013/06/19)

References

Grading

Homework 20%, Participation 10%, Midterm 30%, Final 40%.

courses/theory2013/main.1366771103.txt.gz · Last modified: 2013/04/24 10:38 by tsay