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The new edition deals with all aspects of theoretical computer science, namely automata, formal languages, computability and complexity, Very few books combine all these theories and give/adequate examples. A section on Quantum Computation is added as the last section in this chapter. The multitape Turing machine and the nondeterministic Turing machine are discussed in Section 9.7. In this section, functions, asymptotics, and equivalence relations will be discussed. 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