Let S be the set of computing problems that can be solved by a Turing machine. This chapter introduces how to further classify this set using complexity as a new characteristic based on computational resources. Complexity can be defined in many ways. As a consequence, a significant number of subsets of solvable computing problems can be derived from the set S.

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Computational Complexity

  • Fuchun Guo,
  • Willy Susilo,
  • Khoa Nguyen,
  • Xiaofeng Chen,
  • Zhen Zhao

摘要

Let S be the set of computing problems that can be solved by a Turing machine. This chapter introduces how to further classify this set using complexity as a new characteristic based on computational resources. Complexity can be defined in many ways. As a consequence, a significant number of subsets of solvable computing problems can be derived from the set S.