This course covers the theoretical computer science areas of formallanguages and automata, computability and complexity. Topics covered include: regular and context-free languages; finite automata and pushdown automata; Turing machines; Church's thesis; computability - halting problem, solvable and unsolvable problems; space and time complexity; classes P, NP and PSPACE; NP-Completeness.
Upon successful completion, students will have the knowledge and skills to:At successful completion of the course, students should:
- Demonstrate advanced knowledge of formal computation and its relationship to languages
- Distinguish different computing languages and classify their respective types
- Recognise and comprehend formal reasoning about languages
- Show a competent understanding of the basic concepts of complexity theory
Assignments (30%); Final Exam (70%)
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Workload25h lectures, 12h tutorials, approx. 3×15h assignments, approx. 40h self-study, +exam prep.
Requisite and Incompatibility
Hopcropft, J.E., Motwani, R. & Ullman, J.D.Automata Theory, Languages, and Computation 3rd edition, Pearson Education, 2007.
M. Sipser (2012) Introduction to the Theory of Computation (alternative to [HMU06])
S. Aaronson (2005) NP-complete Problems and Physical Reality
S. Arora and B. Barak (2009) Computational Complexity: A Modern Approach
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