Theoretical Computer Science is a synchronous field of Mathematics which contributes to the strict foundations of Computer Science.
The purpose of this course is that the students will understand the mathematical modeling of algorithms with the help of finite automata, and the important results obtained from this procedure.
Course Content (Syllabus)
Preliminaries: Sets, relations, algorithms. Growth of functions. Alphabets and formal languages. Finite automata: complete, deterministic, nondeterministic and their equivalence. Recognizable languages. Pumping lemma. Rational languages. Algorithms for the minimization of finite automata. Decidability results.
Additional bibliography for study
- John Hopcroft, Rajeev Motwani, Jeffrey Ullman, Introduction to Automata Theory,
Languages, and Computation, Addison-Wesley, 3rd edition 2007.
- Juraj Hromkovic, Theoretical Computer Science, Texts in Theoretical Computer
Science, EATCS Series, Springer, 2004.
- Harry Lewis, Christos Papadimitriou, Elements of the Theory of Computation,
Prentice-Hall Inc., 2nd edition 1998.
- Grzegorz Rozenberg, Arto Salomaa eds., Handbook of Formal Languages, volumes 1-3,
Springer-Verlag, Berlin, 1997.