Block, SkipCaptcha, apieditor, Automoderated users, Bots, edit, ratelimit-exempt
58,196
edits
Changes
Jump to navigation
Jump to search
Line 1:
Line 1: − +
→top: Spelling/Grammar Check, typos fixed: which which → which
Whether '''P=NP''' is an unsolved problem in computer science. Informally, the problem asks if all problems whose solutions can be checked quickly can have those solutions found quickly. More formally, a collection of yes or no questions is said to be in P if there exists a [[Turing machine]] T, an integer k and constant C such that which which will correctly answer whether the answer is yes or no, and the Turing machine will always terminate after a number of steps bounded by <math>Cn^k</math> where n is the length of the input. A problem is said to be in NP if the same holds true for a non-deterministic Turing machine. It is not hard to see that any problem in P is also in NP. It is unknown if P=NP or not. This problem is one of the seven [[Millennium problems]], for which each has a million dollar prize.
Whether '''P=NP''' is an unsolved problem in computer science. Informally, the problem asks if all problems whose solutions can be checked quickly can have those solutions found quickly. More formally, a collection of yes or no questions is said to be in P if there exists a [[Turing machine]] T, an integer k and constant C such that which will correctly answer whether the answer is yes or no, and the Turing machine will always terminate after a number of steps bounded by <math>Cn^k</math> where n is the length of the input. A problem is said to be in NP if the same holds true for a non-deterministic Turing machine. It is not hard to see that any problem in P is also in NP. It is unknown if P=NP or not. This problem is one of the seven [[Millennium problems]], for which each has a million dollar prize.
* Before consideration, a proposed solution must be published in a refereed mathematics publication of worldwide repute (or such other form as the SAB shall determine qualifies), and it must also have general acceptance in the mathematics community two years after. [http://www.claymath.org/millennium/Rules_etc/ Clay Mathematics Institute]
* Before consideration, a proposed solution must be published in a refereed mathematics publication of worldwide repute (or such other form as the SAB shall determine qualifies), and it must also have general acceptance in the mathematics community two years after. [http://www.claymath.org/millennium/Rules_etc/ Clay Mathematics Institute]