Describe the hierarchy of computational complexity classes

By vivek kumar in 22 Jul 2024 | 02:59 am
vivek kumar

vivek kumar

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Describe the hierarchy of computational complexity classes

22 Jul 2024 | 02:59 am
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Prince

Prince

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The hierarchy of computational complexity classes organizes problems based on their computational difficulty and the resources required to solve them:


1. **P**: Problems solvable in polynomial time by a deterministic Turing machine.

2. **NP**: Problems for which a proposed solution can be verified in polynomial time by a deterministic Turing machine.

3. **NP-complete**: NP problems that are at least as hard as any problem in NP; if any NP-complete problem can be solved in polynomial time, then all NP problems can be.

4. **NP-hard**: Problems at least as hard as NP-complete problems but not necessarily in NP.

5. **PSPACE**: Problems solvable in polynomial space, which may require more time than NP problems.


This hierarchy reflects increasing levels of computational difficulty and resource requirements.

24 Jul 2024 | 02:04 pm
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