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T-79.148 Introduction to Theoretical Computer Science (2 cr)
Autumn 2003
This introductory course on the theory of computation covers
the basic aspects of finite automata and regular languages,
context-free grammars and pushdown automata, Turing machines
and computability theory.
[Current]
[General]
[Lectures]
[Tutorials]
[Examination]
[Material]
[Feedback]
Previous years:
[Spring 2003]
[Autumn 2002]
[Spring 2002]
[Spring 2001]
[Spring 2000]
[Spring 1999]
[Spring 1998]
- Keräämme palautetta syksyn 2003 kurssista.
- Please give feedback on the fall 2003 course.
- The exam time has been changed. The December 19 exam starts at 10 o'clock.
There was an error in the exam lists.
Please register for the exam and do not forget to do the computer exercises
BEFORE the exam.
- Registration is over.
- All three rounds of computer
assignments have been generated to those who have registered.
To do the exercises you need your ID and password. If
you have not received your ID and password, please contact Harri Haanpää.
There is also an optional 4th round.
- The course consists of:
- lectures (2 h per week, in Finnish)
- tutorials (1 h per week, one group in English)
- an examination (Fri 19 Dec, 10-13 o'clock).
There is also an examination
on Saturday 25 Oct 2003, and examinations are also planned for February and May
2004. Registration for the examinations by
TOPI.
- Registration for the course by
TOPI.
One of the tutorial groups (indicated below)
will be given in English and the rest in Finnish.
Registration for the tutorials opens
Monday 8 September at noon and closes
Friday 26 September at noon.
- In order to pass the course you have to:
- complete three compulsory sets of home assignments, and
- get a passing grade on the exam, as augmented by
credit earned from the tutorials.
The compulsory assignments are individually computer-generated
for each student, and are submitted over the network.
Completing these assignments is a
mandatory prerequisite
for participating in the exam.
For more details, see the computerised assignments
info page.
- Grading: Exam max 60 points, tutorials max 6 points.
Min passing grade approx. 30 points (tolerance 4 p),
highest grade (5) approx. 54 points.
In the case of "close call" failures (at most 2 points
below passing) despite serious study effort
(at least 4 tutorial bonus points), there is a possibility
of getting a passing grade by solving additional tutorial
problems. To discuss this option, please contact the
lecturer after the exam has been graded.
- Newsgroup:
opinnot.tik.tkt
Lectures by
Harri Haanpää
Thursdays 12-2 p.m. in Lecture Hall T1 (Computer Science building).
First lecture on 11 September. The slides will appear here after each lecture.
Lecture schedule (tentative):
Lecture | Date | Topic |
Sipser | Lewis-Papadimitriou |
Lecture slides (in Finnish) |
1. | 11 Sep |
Administration. Review of basic math (functions, relations, induction). |
Pp. 1-13, 23-25 | 1.1-1.3, 1.5 |
Kalvot (pdf)
|
2. | 18 Sep |
Alphabets, strings and languages. Countable and uncountable sets. |
Pp. 13-14, 16, 161-164 | 1.4, 1.7 |
Kalvot (pdf)
|
3. | 25 Sep |
Finite automata. |
Pp. 31-43 | 2.1 |
Kalvot (pdf)
|
4. | 2 Oct |
Automata minimisation. Nondetermistic finite automata. |
Pp. 47-58, 275 | 2.2, 2.5 |
Kalvot (pdf)
|
5. | 9 Oct |
Regular expressions and finite automata. |
Pp. 58-76 | 1.8, 2.3 |
Kalvot (pdf)
|
6. | 16 Oct |
Nonregular languages and the "pumping lemma".
Context-free grammars and languages. Regular grammars. |
Pp. 77-97 | 2.4, 3.1 |
Kalvot (pdf)
|
7. | 23 Oct |
Parse trees and derivations.
Recursive-descent parsing of LL(1) grammars. |
Pp. 97-98 | 3.2, 3.7 (partly) |
Kalvot (pdf)
|
8. | 30 Oct |
Chomsky normal form and the
CYK parsing algorithm.
Pushdown automata. |
Pp. 98-114, 240-241 | 3.3, 3.4, 3.6 |
Kalvot (pdf)
|
9. | 6 Nov |
The context-free pumping ("uvwxy") lemma.
Turing machines. |
Pp. 115-135 | 3.5, 4.1 |
Kalvot (pdf)
|
10. | 11 Nov |
Multitrack and multitape Turing machines.
Nondeterministic Turing machines.
This lecture takes place on 11 Nov at 2 p.m. in lecture
hall AS2 in the new Tu/AS building. |
Pp. 136-140 | 4.3, 4.5 |
Kalvot (pdf)
|
11. | 20 Nov |
Recursive and recursively enumerable languages.
Turing machine encoding and universal Turing machines. |
Pp. 142-145, 159-168 | 4.2, 5.1, 5.2, 5.7 |
Kalvot (pdf)
|
12. | 27 Nov |
The halting problem. Undecidability. Rice's theorem.
General and context-sensitive grammars.
Linear bounded automata. The Chomsky hierarchy. |
Pp. 171-174, 196 | 5.3, 5.4, 4.6 p. 271 |
Kalvot (pdf)
|
13. | 4 Dec |
Review and discussion of the course material.
Exam requirements.
|
Tutorials
The tutorials start after the first lecture. The last tutorials are on 2-3 Dec.
Day | Time |
Location | Assistant |
Tue | 12-13 | Y228 | Timo Latvala |
| 13-14 | Y228 | Timo Latvala |
| 16-17 | Y405 | Tommi Tykkälä |
| 17-18 | Y405 | Tommi Tykkälä |
Wed | 12-13 | Y313 | Mikko Särelä |
| 13-14 | Y313 | Mikko Särelä |
| 14-15 | U358 | Pauli Aho |
| 15-16 | U358 | Pauli Aho |
| 16-17 | Y405 | Tommi Syrjänen in English |
| 17-18 | Y405 | Tommi Syrjänen |
In the tutorials, there will be three home assignments and
two or three demonstration problems each week. The tutorials
are not compulsory, but bonus exam points (max 6) will be awarded
for doing the home assignments and marking them as done at the
tutorial sessions. The grading scheme for the tutorials is as follows:
Problems solved | Bonus points |
5 | 1 |
10 | 2 |
15 | 3 |
20 | 4 |
25 | 5 |
30 | 6 |
In addition to the voluntary tutorials there are
three compulsory computer-generated problem sets.
(See the info page.)
The tutorial bonus points and the computer-generated problems expire
in one year, i.e., the first exam when they
are no longer valid is the
corresponding course exam in the following year (approx.
Dec 2004). The tutorial bonus points and computer-generated problems
must be from the same course installation, e.g., Autumn 2003.
The tutorial bonus points, the Regis bonus points, and the Regis exercises from
- autumn 2002 are valid in all exams up to but not including the December 2003 exam,
- Exception: The Regis exercises (but not the bonus points) from autumn 2002
remain valid until the February 2004 exam. Thus a student that has started
the Regis exercises in autumn 2002 and completed them may take part in all exams
up to and including the February 2004 exam.
- spring 2003 are valid in all exams up to but not including the May 2004 exam,
- autumn 2003 are valid in all exams up to but not including the December 2004 exam,
- This may change if the lecturer changes.
- spring 2004 are valid in all exams up to but not including the May 2005 exam.
- This may change if the lecturer changes.
The demonstration problems are likely to be at least 90% the same
as in the Spring 2003 installation of the course.
The demonstration problems are discussed at the
tutorials to the extent that time permits.
Updates to the demonstration problems and their solutions
are distributed via this site.
Tutorial problems: Electronic copies downloadable here
each week. Paper copies available at the
lectures, and from the rack outside the theory lab office
(TB336).
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
- tehtävät (pdf)
ratkaisut (pdf)
problems (pdf)
solutions (pdf)
Tutorial
scores.
Note: The demonstration problems and their solutions are for
the most part the same as
last Spring.
Material
- Lecture Notes:
Typeset lecture notes (in Finnish) distributed by Edita.
- Textbook(s):
The recommended English textbook for the course is
M. Sipser, Introduction to the Theory of Computation
(PWS Publishing 1997).
The former recommended
text, H. Lewis and C. Papadimitriou,
Elements of the Theory of Computation
(Prentice Hall 1998) is being phased out.
Finnish students do not need to purchase the textbook,
since the course follows closely the lecture notes.
However the Sipser book is very reader-friendly
yet insightful, so reading it on the side will help
in following the course.
- Supporting material:
- Demonstration problems and their solutions from the tutorials.
Material from Spring 2003 is bundled together with the
lecture notes; updates available as the course progresses.
- Some of the material will be available also via this web page.
Please avoid unnecessary printing of this material
to save printers, paper and thus nature !!!
- A short introduction to set theory and relations
(by Tommi Syrjänen, in Finnish, ps/
pdf).
- An example on determinising a finite-state automaton
(by Heikki Tauriainen, in Finnish, ps/
pdf).
- Examination requirements will be announced later.
- Mallitentti vm 2001
(ps/
pdf),
vastaukset
(ps/
pdf).
A sample examination from 2001
(ps/
pdf).
- Tentti/exam 11.2.2002:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 8.5.2002:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 12.8.2002:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 28.10.2002:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 17.12.2002:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 3.2.2003:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 7.5.2003:
tehtävät
(pdf),
problems
(pdf),
tulokset/results.
- Tentti/exam 18.8.2003:
tehtävät
(pdf),
problems
(pdf).
- Tentti/exam 25.10.2003:
tehtävät
(pdf),
problems
(pdf).
Feedback
Feedback is collected at the end of the course using
an electronic questionnaire.
Summaries of feedback from previous courses:
Spring 2003
Autumn 2002,
Spring 2002.
Some fun and possibly relevant links that are not part of the course.
[TCS main]
[Contact Info]
[Personnel]
[Research]
[Publications]
[Software]
[Studies]
[News Archive]
[Links]
Latest update: 07 January 2004.
Harri Haanpää.
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