CS 204 Theory of Computation

Schedule : Mondays, 1800H to 2100H

Semester : 1st, AY 2020-2021

Instructor : Henry N. Adorna

email : <hnadorna@up.edu.ph>

Office : Rm 319

3/F UPAE Centennial Hall

The theory of computing provides computer science with concepts, models, and formalisms for reasoning about the resources needed to carry out computations and about the efficiency of the computations that use these resources. In addition, it provides tools to measure the difficulty of combinatorial problems both absolutely and in comparison with the other problems

Steven Homer and Alan L. Selman

Computability and Complexity Theory (2001)

This will be the official course website of CS 204 Mon, 6pm to 9pm class under Henry.

This class will not meet physically but will be conducting classes remotely with occasional online meetings.

Announcements for the class will be posted here, aside from emails that registered students will receive from the Instructor.

Below will be the is the list of tentative topics to be covered for the class this unique semester of AY 2020-2021.

Opposite the list of topics are provided with free online (videos) resources that hopes to guide the students in appreciating the course.

Main Text References

Maligayang Pagdating, Mabuhay!

Week 13-14

a. Problem Sets 2a and 2b (2b.1, 2b.2, 2b.3) have been sent to all registered students.

b. PS2a is DUE 14 December 2020

c. PS2b is DUE 4 January 2021

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Reminders:

a. Please maintain to work as a group and develop the habit of collaboratively discussing and finding solutions to problems.

b. Problem set must be done individually. You can discuss as a group to understand the problems and possible way of solving it, BUT each student must submit his/her own referenced suggested solutions.

c. Suggested solutions to Problem set 2a and 2b ( 2b.1, 2b.2, 2b.3) are DUE : 14 December 2020, and 4 January 2021, respectively.

d. We can ONLY accommodate online group consultation.

e. Should you wish to consult individually, please send me an email.


Announcements !

Week 6 to 12

a. Readings for the remaining half of the semester are sent via email to the registered students of the course. They can also be obtained here R1 and R2.

b. Next Problem set will be sent soon.

c. PS1a and 1b EXTENDED submission date: 2 November 2020.

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Week 4 & 5:

a. Readings for weeks 4 & 5 were sent to all registered students. It is also available here.

b. Commented Exercises 1b and 1c were sent to registered students

c. Problem set 1b was sent last Sunday 11 October 2020. Please inform instructor if you are registered for the course but unable to receive copy of PS1b.

d. Here is an out of print book by Hopcroft and Ullmann in Foundation of Computer Science.


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Week 3

The book What can be computed ? by John MacCormick is a nice book to read that could help one appreciate this course.

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The following were sent to all registered students:

-Comments and remarks on suggested solutions to Exercise 1a..

-Group Exercise 1b. which is also available here.

-Assigned readings (Decidability and Rice Theorem) for week3.

Exercise 1c is now available here.

Problem set 1a has been emailed to all registered students of the course.

Please inform instructor if you're registered but unable to receive PS1a.


Reminders:

a. Suggested solutions to Exercise 1b is DUE 2 October 2020.

b. Suggested solutions for Exercise 1c is DUE 5 October 2020.

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Week 2:

To help everyone to start doing some proof, you may consult the following:

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  1. Readings for week2&3 are now available here.

  2. Also, readings are sent through email this weekend to registered students.

  3. Please email the instructor if you did not get copies of the readings.

Reminders:

  • Exercise 1a: (Due: 22 September 2020, 11:59pm) [pdf]

Send your group suggested solution to the above Exercises on or before Wednesday next week, i.e. 22 Sept 2020. 11:59pm. to < hnadorna@up.edu.ph>

  • Please join study group organized by students via Discord, contact your classmate Mabelle Saludares <mis.saludares@gmail.com> for info.

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Week 1:

Exercise 1a: (Due: 22 Sept. 2020 11:59pm) [pdf]

Posted:16 September 2020, 1500H

1. Use the results of Exercises no. 1.51 and 1.52 in Sipser's IToC to realize a state minimization of any DFA.

2. Suggest a solution for Exercise No. 1.59 from IToC of Sipser.

Send your group suggested solution to the above Exercises

on or before Wednesday next week, i.e. 22 Sept 2020. 11:59pm to < hnadorna@up.edu.ph>


This will be your first, CS204 My Update and CS 204 My Submission.

Note:

CS204 My Update : narrative feedback of the lesson read... (to be sent individually by student)

CS 204 My Submission : Exercise 1a

(to be submitted by a group representative only, with proper acknowledgement of

who participated and how each participated.)


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  • Please answer the following questions precisely, completely and correctly.

Send your answers by REPLYING to this email sent last weekend.


  1. What is your undergraduate degree?

  2. From which university did you obtain your undergraduate degree from?

  3. What is/are your motivation(s) for attending graduate school in computer science?

  4. What do you expect to learn from taking graduate courses?

  5. What do you expect from CS 204, Theory of computation?

  6. What do you plan to do after graduation?


I hope to obtain your reply before 6pm on Monday 14 September 2020.


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Week 0:

  • This course, CS 204 is listed in UVLE. You must enroll to this course.

Students must activate their UVLe accounts; they need to log-in at UVLe using their DilNet accounts and (for first time users) must accept the UP Academic Use Policy after logging in.

Schedule of Activities

Weeks

week 0

Topics

  • Review of undergraduate Formal Languages and Automata Theory

References

  • Chapters 0 to 3 : Sipser, Introduction of Theory of Computation, 2ed


Weeks

week 1

Topics

  • Meet and Greet: Policy and General Instructions can be obtained at here (Administrative)

  • Why Theory of Computation?

Weeks

weeks 1 to 14

Topics

  • Main Course Topics (The whole course)

References

Main Text References

Suggested References

  • [N] Jones,N. .Computability and Complexity From a Programming Perspective

  • [F] Fortnow, L. The Computational Complexity Column

  • [BC] Bovet & Crescenzi Introduction to the theory of complexity

Topics

  • Introduction to Computability

References

  • [S] Chapter 3 to 6 of Sipser, Introduction to Theory of Computation (2ed)

  • [HS] Chapters 2 and 3 of Homer and Selman, Computability and Complexity (2ed)


Weeks

weeks 2 to 5

Topics

  • The Church-Turing Thesis

  • Decidability, Halting problem and Rice Theorem

  • Mapping and Turing Reductions

  • The Recursion Theorem

References

  • Chapter 3 [S]; Chapter 2 [HS]

  • Chapters 4 and 5 [S] ; Chapters 3 [HS]

  • Chapters 4 and 5 [S] ; Chapters 3 [HS]

  • Chapter 6 [S]; Chapter 3 [HS]


Weeks

weeks 5 to 7

Topics

Mid-term Deliverables

References

  • Problem sets 1a and 1b (online submissions)

Topics

Introduction to Complexity Theory

References

  • [HS] Chapters 4 to 7

  • [S] Chapters 7 to 9


Weeks

weeks 6 to 12

Topics

  • Complexity Measure and Complexity Classes

  • Inclusion Relationships and Separation Results

  • Nondeterminism and NP Completeness

  • Relative Computability

  • The Polynomial Hierarchy

References

  • Chapter 4 [HS]; Chapter 7 [S]

  • Chapter 5 [HS]; Chapters 7 and 8[S]

  • Chapter 6 [HS]; Chapter 7 [S]

  • Chapter 7 [HS]; Chapter 9 [S]

  • Chapter 7 [HS]; Chapter 9 [S]


Topics

Miracles of Theoretical Computer Science

References

  • Chapter 10 [S]

Weeks

weeks 13 to 14

Topics

  • Approximation Algorithms

  • Probabilistic Algorithms

  • Parallel Computation

  • P systems

References


Weeks

weeks 12 to 14

Topics

End-of-Term Deliverables

References

  • Problem sets 2a and 2b (online submissions)

Some Conferences in TCS

Some Files and Documents

CS397-Administratives.pdf