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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=====
  * 05/22: notes/slides for Time Complexity and NP-Completeness available.
  * 05/16: reminder: there will be a TA session on 05/22.
  * 05/15: {{courses:theory2013:hw9.pdf|HW#9}} due on 05/22.
  * 05/15: notes/slides for Reducibility available.
  * 05/13: {{courses:theory2013:theory2013mid_s.pdf|Suggested Solutions to Midterm Problems}} available.
  * 05/07: {{courses:theory2013:hw8.pdf|HW#8}} due on 05/15.
  * 05/01: notes/slides for Decidability and Undecidability available.
  * 04/24: {{courses:theory2013:hw7.pdf|HW#7}} due on 05/01.
  * 04/24: notes/slides for Turing Machines available.
  * 04/11: old exams: {{courses:theory:old_exams.zip|2000-2006}}.
  * 04/10: slides from TA sessions: {{courses:theory2013:hw1slides.pptx|HW#1}}, {{courses:theory2013:hw2slides.pptx|HW#2}},  {{courses:theory2013:hw3slides.pptx|HW#3}},  {{courses:theory2013:hw4slides.pptx|HW#4}}.
  * 04/10: {{courses:theory2013:hw6.pdf|HW#6}} due on 04/17.
  * 04/01: {{courses:theory2013:hw5.pdf|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: {{courses:theory2013:hw4.pdf|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: {{courses:theory2013:hw3.pdf|HW#3}} due on 03/20.
  * 03/06: {{courses:theory2013:hw2.pdf|HW#2}} due on 03/13.
  * 03/05: notes/slides for Regular Languages available.
  * 02/27: {{courses:theory2013:hw1.pdf|HW#1}} due on 03/06.
  * 02/20: notes/slides for Introduction and Mathematical Preliminaries available.

=====Instructor=====
[[http://im.ntu.edu.tw/~tsay/|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=====
  *//[[http://www.amazon.com/Introduction-Theory-Computation-Michael-Sipser/dp/0534950973/ref=sr_1_3?s=books&ie=UTF8&qid=1361175802&sr=1-3&keywords=Introduction+to+the+Theory+of+Computation%2C+2nd+Edition|Introduction to the Theory of Computation, 2nd, International Edition]]//, Michael Sipser, Thomson Course Technology, 2006. (新月圖書代理)
  *//[[http://www.amazon.com/Introduction-Theory-Computation-Michael-Sipser/dp/113318779X|Introduction to the Theory of Computation, 3rd Edition]]//, Michael Sipser, Cengage Learning, 2012. (歐亞圖書代理)

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).


=====Syllabus/Schedule (with links to notes/slides)=====
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) [{{courses:theory2013:ch0_notes.pdf|notes}}, {{courses:theory2013:ch0_slides.pdf|slides}}]
  *Finite Automata and Regular Languages (3 weeks: 3/6, 3/13, 3/20*) [{{courses:theory2013:ch1_notes.pdf|notes}}, {{courses:theory2013:ch1_slides.pdf|slides}}]
  *Context-Free Languages and Pushdown Automata (2 weeks: 3/27, 4/10*) [{{courses:theory2013:ch2_notes.pdf|notes}},{{courses:theory2013:ch2_slides.pdf|slides}}]
  * **Midterm** (**2013/04/17**)
  *Turing Machines (1.5 weeks: 4/24, 5/1a) [{{courses:theory2013:ch3_notes.pdf|notes}}, {{courses:theory2013:ch3_slides.pdf|slides}}]
  *Decidability and Undecidability (2 weeks: 5/1b, 5/8, 5/15a) [{{courses:theory2013:ch4_notes.pdf|notes}}, {{courses:theory2013:ch4_slides.pdf|slides}}]
  *Reducibility (1.5 weeks: 5/15b, 5/22*) [{{courses:theory2013:ch5_notes.pdf|notes}}, {{courses:theory2013:ch5_slides.pdf|slides}}]
  *Time Complexity and NP-Completeness (2 weeks: 5/29, 6/5*) [{{courses:theory2013:ch7_notes.pdf|notes}}, {{courses:theory2013:ch7_slides.pdf|slides}}]
  * **Final** (**2013/06/19**)

=====References=====
  *MIT OpenCourseWare: [[http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-045j-automata-computability-and-complexity-spring-2011/index.htm|Automata, Computability, and Complexity]]
  *Stanford Coursera: [[https://www.coursera.org/course/automata|Automata]]
  * [[http://dl.acm.org/citation.cfm?id=2093549&CFID=70582427&CFTOKEN=84470362|What is an Algorithm?]] (M.Y. Vardi, Communications of the ACM, Volume 55 Issue 3, March 2012)
  *//[[http://www.amazon.com/Introduction-Automata-Languages-Computation-Addison-Wesley/dp/020102988X/ref=sr_1_11?s=books&ie=UTF8&qid=1361114620&sr=1-11&keywords=Introduction+to+Automata+Theory%2C+Languages%2C+and+Computation|Introduction to Automata Theory, Languages, and Computation]]//, John E. Hopcroft and Jeffrey D. Ullman, Addison-Wesley, 1979.
  *//[[http://www.amazon.com/Introduction-Automata-Theory-Languages-Computation/dp/0321455371/ref=sr_1_2?s=books&ie=UTF8&qid=1361114620&sr=1-2&keywords=Introduction+to+Automata+Theory%2C+Languages%2C+and+Computation|Introduction to Automata Theory, Languages, and Computation, 3rd Edition]]//, John E. Hopcroft, Rajeev Motwani, and Jeffrey D. Ullman, Addison-Wesley, 2006.
  *//[[http://www.amazon.com/Elements-Theory-Computation-2nd-Edition/dp/0132624788|Elements of the Theory of Computation, 2nd Edition]]//, Harry R. Lewis and Christos H. Papadimitriou, Prentice-Hall, 1998.
  *[[http://www.fi.edu/learn/sci-tech/automaton/automaton.php?cts=instrumentation|Maillardet's Automaton]] at the Franklin Institute.
  *Free Tool: [[http://www.jflap.org/|JFLAP]]
  *Free Tool: [[http://goal.im.ntu.edu.tw/|GOAL]]

=====Grading=====
Homework 20%, Participation 10%, Midterm 30%, Final 40%.
Yih-Kuen Tsay's Wiki @ IM.NTU

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