Is complexity theory important in computer science?
One of the roles of computational complexity theory is to determine the practical limits on what computers can and cannot do.
The P versus NP problem, one of the seven Millennium Prize Problems, is dedicated to the field of computational complexity..
Is computational complexity theory useful?
Essentially, computational complexity theory is rather important because both in theory as well as in practice, it helps computer scientists understand the limits of what computers can do and what they cannot do..
What is complexity theory for coding?
Complexity theory is the theory of determining the necessary resources for the solution of algorithmic problems and, therefore, the limits of what is possible with the available resources.
An understanding of these limits prevents the search for non-existing efficient algorithms..
What is complexity theory in theory of computation?
Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
It is concerned with algorithms, which are computational methods for solving problems..
- Complexity theory is the theory of determining the necessary resources for the solution of algorithmic problems and, therefore, the limits of what is possible with the available resources.
An understanding of these limits prevents the search for non-existing efficient algorithms. - Complexity-Based Cryptography.
As described above, a major aim of complexity theory is to identify problems that cannot be solved in polynomial time and a major aim of cryptography is to construct protocols that cannot be broken in polynomial time.
These two goals are clearly well-matched.
