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flacmtr2004
Course: CS 4410, Fall 2009School: CSU Stanislaus
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Theory, Automata Computability and Formal Languages Midterm Review, Spring 2004 1. Prove by induction that: (a) n i(i + 1) = i=1 n(n + 1)(n + 2) 3 (b) n (2i 1) = n2 i=1 2. What are the denitions of DFA, NFA, NFA with epsilon moves? Draw examples of each. 3. Describe how to extend the transitions functions to strings in each of the cases of problem 3. 4. Give a DFA accepting all strings of 0s and 1s ending...
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Theory, Automata Computability and Formal Languages
Midterm Review, Spring 2004
1. Prove by induction that: (a)
n
i(i + 1) =
i=1
n(n + 1)(n + 2) 3
(b)
n
(2i 1) = n2
i=1
2. What are the denitions of DFA, NFA, NFA with epsilon moves? Draw examples of each. 3. Describe how to extend the transitions functions to strings in each of the cases of problem 3. 4. Give a DFA accepting all strings of 0s and 1s ending in either 000 or 111. 5. What is the denition of a regular (regular expression set)? 6. Construct a nite automaton accepting 0 1 + 1 0 7. Which of the following are regular sets (over (0 + 1) ): (a) The set of strings which end in 001. (b) The set of strings which do not end in 000 or 111. (c) The set of all strings of length less th...
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