2015Computer Knowledge and TechnologyRequires access

Class Spectrogram of Computational Complexity

Ji Zhang

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Abstract

The computational complexity of a problem is the complexity of solving it with a computer.One of its measures is to calculate the required number of steps or instructions(that is, the time complexity),the other is to calculate the number of storage unit(i.e., space complexity).The set of all the problems with similar complexity is a complexity class.In this paper,we discussed severalcommon and important computational complexity classes in computational complexity theory,and studied the significance of theclassification of computational complexity and some relations between the complexity classes.

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What this paper is about

The computational complexity of a problem is the complexity of solving it with a computer.One of its measures is to calculate the required number of steps or instructions(that is, the time complexity),the other is to calculate the number of storage unit(i.e., space complexity).The set of all the problems with similar complexity is a complexity class.In this paper,we discussed severalcommon and important computational complexity classes in computational complexity theory,and studied the significance of theclassification of computational complexity and some relations between the complexity classes.

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Available abstract

The computational complexity of a problem is the complexity of solving it with a computer.One of its measures is to calculate the required number of steps or instructions(that is, the time complexity),the other is to calculate the number of storage unit(i.e., space complexity).The set of all the problems with similar complexity is a complexity class.In this paper,we discussed severalcommon and important computational complexity classes in computational complexity theory,and studied the significance of theclassification of computational complexity and some relations between the complexity classes.

Key concepts: Computational complexity theory, Asymptotic computational complexity, Computer science, Structural complexity theory, Computational resource, Worst-case complexity, Descriptive complexity theory, Quantum complexity theory

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