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1. (12 points) Consider the state diagram of the DFA M in Figure 1 and answer the following questions. 0 0 0,1 0 1
1. (12 points) Consider the state diagram of the DFA M in Figure 1 and answer the following questions. 0 0 0,1 0 1 91 92 93 94 1 0,1 95 Figure 1: A DFA M for Question 1. (a) Give the formal definition of M. (b) What sequence of states does M go through on input 0101? (c) Which (possibly more than one) of the following strings are accepted by M? (1) 00111 (2) 100 (3) 00100 (4) 0100 (5) 011 (d) What language does M accept?
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Introduction to the theory of computation
Authors: Michael Sipser
3rd edition
1133187790, 113318779X, 9781285401065 , 978-0470530658
