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Theory of Computing III: Computability and Complexity

Beschreibung

Formal Languages and Automata provide the basis for analyzing user input from addresses in web forms to complex Java code. This 3-part course provides the basics of the theory. It also shows the limits of each machine model and finally the limits of computability in general.

This course, building on the previous two, discusses Turing machines and problems of decidability and complexity.

Learning Goals

With the help of this course, we want you to achieve the following learning outcomes:

  • You can describe basic principles of Turing machines.
  • You can discuss the problem of undecidability and name multiple examples.
  • You can distinguish between undecidable and semi-decidable problems.
  • You can describe the idea of the time complexity classes P and NP.
  • You can elaborate on the basic idea of space complexity.

Course Structure

  • Organization
  • Turing machines
  • Undecidable Problems
  • Semi-decidable Problems
  • Time Complexity
  • Space Complexity

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