Fall 2012 Syllabus

**Final Exam:** Tuesday December 11, 4:00-6:45 pm

**Instructor:** Vladik Kreinovich,
email vladik@utep.edu, office CCSB 3.0404,

office phone
(915) 747-6951

office hours: Tuesday 1:30-3 pm, Thursday
9:30-10:30 am, Thursday 3-4:30 pm, or by appointment.

**Teaching Assistant (TA):** Shreyas Karkhedkar,
email sakarkhedkar@miners.utep.edu, office hours Monday 9-11 am or
by appointment, in G.0512

**Course Objectives:**
Theoretical computing models and the formal languages they
characterize: Finite state machines, regular expressions,
pushdown automata, context-free grammars, Turing machines and
computability. Capabilities and limitations of each model, and
applications including lexical analysis and parsing.
Prerequisite: CS 2302 with a grade of C or better.

**Major Topics Covered in the Course**

- Regular languages, finite automata, non deterministic FA
- Context-free languages, pushdown automata
- Parsing, normal forms, ambiguity
- Pumping lemmas and closure properties
- Turing machines and other equivalent models
- Decidable languages, non-decidable languages, recognizable languages, Chomsky hierarchy

**Level 1: Knowledge and Comprehension**

Level 1 outcomes are those in which the student has been
exposed to the terms and concepts at a basic level and can
supply basic definitions. The material has been presented only
at a

superficial level.

Upon successful completion of this course, students will:

1a. Be familiar with the implications of Church-Turing thesis.

1b. Understand that there are problems for which an algorithm exists, and problems for which there are no algorithms (non-recursive, non-recursively enumerable languages) and understand the implications of such results.

1c. Understand and explain the diagonalization process as used in proofs about computability.

**Level 2: Application and Analysis**

Level 2 outcomes are those in which the student can apply the
material in familiar situations, e.g., can work a problem of
familiar structure with minor changes in the details.

Upon
successful completion of this course, students will be able to:

2a. Convert a non-deterministic FA (respectively transition graph) into an equivalent deterministic FA, convert a transition graph or NFA into an equivalent regular expression, and convert a regular expression into an equivalent FA.

2b. Construct a regular expression (respectively a context-free grammar) for a regular language (respectively context-free language).

2c. Convert a context-free grammar into an equivalent pushdown automaton.

2d. Construct a context-free grammar for a given context-free language.

2e. Design an algorithm for a machine model to simulate another model.

2f. Build simple Turing machines.

2g. Prove formally properties of languages or computational models.

2h. Apply a parsing algorithm.

2i. Build a parse tree or a derivation from a context-free grammar.

2j. Use the closure properties in arguments about languages.

**Level 3: Synthesis and Evaluation**

Level 3 outcomes
are those in which the student can apply the material in new
situations. This is the highest level of mastery.

Upon
successful completion of this course, students will be able to:

3a. Compare regular, context-free, recursive, and recursively enumerable languages.

3b. Compare FA, PDA, and Turing machines.

**Textbook:** Reading and laboratory assignments will be
drawn from *Introduction to the Theory of Computation*,
2nd edition, by Michael Sipser. If necessary, this book is
available at the bookstore and through major online book
retailers, and you are expected to acquire a copy for your use
in this course. Photocopied textbooks are illegal and their use
will not be tolerated.

**Assignments:** Reading and homework assignments will be
handed out or announced in class and in labs. If you miss a
class, it is your responsibility to find out what you missed.
You should expect to spend at least 10 hours/week outside of
class on reading and homework.

**Grading:** There will be two tests and one final exam.
Each topic means home assignments (mainly on the sheets of
paper, but some on the real computer). Maximum number of
points:

- first test: 20
- second test: 20
- home assignments and quizzes: 20
- final exam: 40

The nominal percentage-score-to-letter-grade conversion is as follows:

- 90% or higher is an A
- 80-89% is a B
- 70-79% is a C
- 60-69% is a D
- below 60% is an F

**Homework Assignments:** Homework and lab assignments are
designed to allow you to practice using the concepts presented
in lecture and in your reading. Homework and lab assignments
may include written problems, tutorial exercises, and
programming problems. Assignments usually will be due at the
start of the next class. Late homework will be accepted only in
unusual circumstances, by prior arrangement if at all
possible.

Homework must be done individually. While you may discuss the problem in general terms with other people, your answers and your code should be written and tested by you alone. If you need help, consult a TA or a professors

**Quizzes:**
The purpose of a quiz is to ensure that you have read the weekly
reading assignment and to verify that you have mastered the major concepts
of recent lectures. Quizzes typically will be about 5-10 minutes in length and
will cover the material assigned to be read for the upcoming lecture plus
selected concepts from previous lectures.
There will be no make-up on missed quizzes.

**Exams:** The purpose of the exams is to allow you to
demonstrate mastery of course concepts. Make-up exams will be
given only in extremely unusual circumstances. If you must miss
an exam, please meet with an instructor, BEFORE the exam if at
all possible.

**Standards of Conduct:** You are expected to conduct
yourself in a professional and courteous manner, as prescribed
by the UTEP
Standards of Conduct.

Graded work, e.g., homework and tests, is to be completed independently and should be unmistakably your own work (or, in the case of group work, your team's work), although you may discuss your project with other students in a general way. You may not represent as your own work material that is transcribed or copied from another person, book, or any other source, e.g., a web page.

Academic dishonesty includes but is not limited to cheating, plagiarism and collusion.

- Cheating may involve copying from or providing information to another student, possessing unauthorized materials during a test, or falsifying data (for example program outputs) in laboratory reports.
- Plagiarism occurs when someone represents the work or ideas of another person as his/her own.
- Collusion involves collaborating with another person to commit an academically dishonest act.

**Disabilities:**
If you feel that you may have a disability that requires accommodation,
contact the Disabled Student Services Office at 747-5184, go to Room 106E
Union, or email dss@utep.edu