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Unformatted text preview: CSCI 2670 Introduction to Theory of Computing Instructor: Shelby Funk Today • Syllabus • Chapter 0 • Homework due Tuesday, August 23 – Read pages Chapter 0 • You are responsible for all this material even if I don’t cover it in class – Send me an email telling me your favorite thing about Athens • If you’re new to Athens, tell me your favorite thing about your most recent hometown Course goals • Theoretically explore the capabilities and limitations of computers – Complexity theory • What makes some problems computationally hard and others easy? – Computability theory • What problems can be solved by a computer? – Automata theory • How can we mathematically model computation? Sets, multisets and sequences • Set – Order and repetition don’t matter • {7,4,7,3} = {3,4,7} • Multiset – Order doesn’t matter, repetition does • {7,4,7,3} = {3,4,7,7} ≠ {3,4,7} • Sequence – Order and repetition matter • (7,4,7,3) ≠ (3,4,7,7) • Finite sequence of k elements may be called a ktuple Set notation...
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