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CS5371 Theory of Computation

CS5371 Theory of Computation. General Info, Scope, Textbook Assessment, …. General Information. Web page: http://is.cs.nthu.edu.tw/course/2009Fall/CT537100/ Lecturer: Hung-Min Sun ( 孫宏民 ), hmsun@cs TA: 陳宣同 , rickrick@is.cs.nthu.edu.tw Meeting times: Tue 1410 — 1500, Fri 1520 —1710

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CS5371 Theory of Computation

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  1. CS5371Theory of Computation General Info, Scope, Textbook Assessment, …

  2. General Information • Web page: • http://is.cs.nthu.edu.tw/course/2009Fall/CT537100/ • Lecturer: • Hung-Min Sun (孫宏民), hmsun@cs • TA: • 陳宣同, rickrick@is.cs.nthu.edu.tw • Meeting times: • Tue 1410 — 1500, Fri 1520 —1710 • Consultation: • Send us email for appointments!!

  3. What will you learn from this course? • How to define a computer? • Are there problems that a computer cannot solve? If so, can we find one such problem? Automata theory Computability theory

  4. Part I: Automata Theory • Study very simple “computer” called automaton (plural: automata) • Though very simple, they can solve some decision problems. E.g., is an input sequence of 0s and 1s, such as 101110101, representing a binary number divisible by 5? • Study what kind of decision problems can be solved by automaton? What kind of decision problems cannot be solved?

  5. Part II: Computability Theory • Introduce a slightly more complicated computer called “Turing Machine” • We will show that (in some sense) Turing Machine has the same power as an ordinary computer • Show that some problems (although sounds like easy) cannot be solved by computers

  6. Textbook & References • Textbook • Introduction to the Theory of Computation (2nd Edition), by Michael Sipser • We will follow very closely to this book • References • Computational Complexity, by C. Papadimitiou • Introduction to Automata Theory, Languages, and Computation, by J. Hopcroft, R. Motwani, and J. Ullman.

  7. Assessment Assignments + Quits: 40% Midterm: 30% Final Exam: 30% ------------------------------------------ Total 100%

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