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P (complexity)

In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that can be solved by a deterministic Turing machine using a polynomial amount of computation time, or polynomial time.

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Overview

Definition

Notable problems in P

Relationships to other classes

Properties

Pure existence proofs of polynomial-time algorithms

Alternative characterizations

History

Advanced semantic analysis

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Map overview Semantic statistics

P (complexity)

Nodes76
Edges75
Triples3
Avg. degree1.97
Density0.026316
Components1

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Important terminology Word statistics

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Important terminology

problems class polynomial time complexity also known polynomial-time problem np algorithm decision machine turing computational pspace displaystyle whether one deterministic

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the unary version of any undecidable problem.In 1999instance ofincluding some undecidable problems0.80text
Jin-Yi Caiinstance ofincluding some undecidable problems0.80text
Dinstance ofincluding some undecidable problems0.80text

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