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Yes, but only if any language in NP has small uniform circuits.

Hope this helps. This is a famous unsolved problem, as whoever posted it here probably knows. A prize of one million US dollars has been offered for a solution. There are details at http://www.claymath.org/millennium/P_vs_NP/ At the top right of this page there is a link to the "Official problem description" by Stephen Cook, one of the people who first posed the problem in 1971, and also a more informal description under the heading "Minesweeper". Anyone who solves this problem will get not only a million dollars, but also enduring fame among mathematicians and computer scientists. It won't be easy, since a lot of clever people have worked on it since 1971. Most people believe that P is not equal to NP, but a belief is not the same as a proof.

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16y ago

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Is the complexity class P equal to the complexity class NP?

The question of whether the complexity class P is equal to the complexity class NP is one of the most important unsolved problems in computer science. It is not known if P is equal to NP, and this question is at the heart of the famous P vs. NP problem.


Does the complexity class P equal the complexity class NP?

The question of whether the complexity class P equals the complexity class NP is one of the most important unsolved problems in computer science. It is not known if P is equal to NP or not. If P equals NP, it would mean that every problem for which a solution can be verified quickly can also be solved quickly. This would have significant implications for cryptography, optimization, and many other fields. However, as of now, it remains an open question.


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What does NP equal P mean?

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What is the difference between P and NP complexity classes?

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What is the answer to P equals NP?

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