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P-complete

Definition of the adjective P-Complete

What does P-Complete mean as an attribute of a noun?

adjective

  1. [computing theory] Describing any problem in the complexity class P to which there exists a polynomial time mapping from any other problem in P.

Definition of the noun P-Complete

What does P-Complete mean as a name of something?

proper noun

  1. [computing theory] The set of such problems.

Explanation

  1. P-complete a.k.a. #P-complete, pronounced "sharp P complete" or "number P complete" is a complexity class in computational complexity theory. By definition, a problem is #P-complete if and only if it is in #P, and every problem in #P can be reduced to it by a polynomial-time counting reduction, i.e. a polynomial-time Turing reduction relating the cardinalities of solution sets. Equivalently, a problem is #P-complete if and only if it is in #P, and for any non-deterministic Turing machine, the problem of computing its number of accepting paths can be reduced to this problem.
    • also known as ♯P-complete, Sharp-P-complete
  2. P-complete: In complexity theory, the notion of P-complete decision problems is useful in the analysis of both: which problems are difficult to parallelize effectively, and; which problems are difficult to solve in limited space. Formally, a decision problem is P-complete if it is in P and that every problem in P can be reduced to it by using an appropriate reduction. The specific type of reduction used varies and may affect the exact set of problems.

Printed dictionaries and other books with definitions for P-complete

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Google previewConcise Dictionary of Library and Information Science (2000)

by Stella Keenan, Colin Johnston

Full text P-complete document that contains the information required. Many information services will supply a reference to the item required, and it may be necessary to obtain the complete item to satisfy the information need. Full-text database ...

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Video about P-complete

P-complete Meaning

Video shows what P-complete means. Describing any problem in the complexity class P to which there exists a polynomial time mapping from any other problem ...

Quotes about P-complete

I really think that living is the process of going from complete certainty to complete ignorance. (Richard Dreyfuss)
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