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1.1 Matching: Computability Theory Deals with the definitions and properties of mathematical models of computation Complexity Theory What are the fundamental capabilities and limitations of
1.1 Matching: Computability Theory Deals with the definitions and properties of mathematical models of computation Complexity Theory What are the fundamental capabilities and limitations of computers? Automata Theory What makes some problems computational hard and others easy? 1.2 The three basic set operations are union,and 1.3 T/F: Does ()? 1.4 Let A 10,1). Then |IA3 (a) 1 (b) 2 (c) 6 (d) 8? 1.5 T/F: The following function f: (0,1,2,3)-> (A,B,C,D,E) is one-one; is onto. (Answer: both are false.) fn) 1.6 T/F: The beats relation we just covered is an equivalent relation. 1.7 Given an undirected graph with n vertices, how many edges can it have at most? (a) 2n (b) n2 1.8 Which of the following string does not belong to the language L (wl lw is even or w begins with 0)? (a) (b) 10 (c) 0 (d) 1 1.9 T/F: The value of (0 v 1) ^ (1 v 1) is 0
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