Regular and Context-Free Languages: Advanced Results

» Diese Veranstaltung wird auf englisch gehalten.

Lecture in Winter Term 2011/12

Type Time/Place Start Lecturer
V2 Mon 14:00–15:30, AH II 17 October 2011 Thomas
Ü1 Do 11:45–13:15, 4116 20 October 2011 Thomas Felscher Gelderie

Preliminary Information:

Contents

This course is addressed to MSc students and diploma students. It offers a deeper understanding of the two essential language classes that are fundamental in many areas of computer science: the regular and the context-free languages. Although some of the presented results are quite old, they have not lost their significance. Also some of the oldest open problems of theoretical computer science belong to this area.
Applications will be mentioned, but the emphasis is on theory, with two main topics: alternative descriptions of languages in different frameworks, and classification of languages in terms various views of "complexity".
The course will be given in German if all participants prefer this.

Contents:

  • Part I: Regular Languages
    • Star-height and the star-height poblem
    • Star-free languages, first-order logic and Schützenberger's Theorem
    • Regular languages and circuit complexity
  • Part II: Context-Free Languages
    • Chomsky-Sch├╝tzenberger Theorem
    • Generators of context-free, linear, and one counter-languages
    • Deterministic context-free languages

Credit Points

4 ECTS