# P-complete

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## Definition of the adjective P-Complete

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

**adjective**

- [
*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**

- [
*computing theory*] The set of such problems.

## Explanation

**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

**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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### Concise Dictionary of Library and Information Science (2000)

by Stella Keenan, Colin Johnston

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## Online dictionaries and encyclopedias with entries for P-complete

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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)*more quotes about p-complete...*

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