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Complete (complexity)

Index Complete (complexity)

In computational complexity theory, a computational problem is complete for a complexity class if it is, in a technical sense, among the "hardest" (or "most expressive") problems in the complexity class. [1]

15 relations: BPP (complexity), Co-NP, Complexity class, Computational complexity theory, Computational problem, NP (complexity), NP-completeness, NP-hardness, Oracle machine, PLS (complexity), PPA (complexity), Reduction (complexity), RP (complexity), TFNP, ZPP (complexity).

BPP (complexity)

In computational complexity theory, BPP, which stands for bounded-error probabilistic polynomial time is the class of decision problems solvable by a probabilistic Turing machine in polynomial time with an error probability bounded away from 1/2 for all instances.

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Co-NP

In computational complexity theory, co-NP is a complexity class.

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Complexity class

In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.

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Computational complexity theory

Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.

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Computational problem

In theoretical computer science, a computational problem is a mathematical object representing a collection of questions that computers might be able to solve.

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NP (complexity)

In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.

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NP-completeness

In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.

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NP-hardness

NP-hardness (''n''on-deterministic ''p''olynomial-time hardness), in computational complexity theory, is the defining property of a class of problems that are, informally, "at least as hard as the hardest problems in NP".

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Oracle machine

In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems.

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PLS (complexity)

In computational complexity theory, Polynomial Local Search (PLS) is a complexity class that models the difficulty of finding a locally optimal solution to an optimization problem.

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PPA (complexity)

In computational complexity theory, PPA is a complexity class, standing for "Polynomial Parity Argument" (on a graph).

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Reduction (complexity)

In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem.

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RP (complexity)

In computational complexity theory, randomized polynomial time (RP) is the complexity class of problems for which a probabilistic Turing machine exists with these properties.

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TFNP

In computational complexity theory, the complexity class TFNP is a subclass of FNP where a solution is guaranteed to exist.

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ZPP (complexity)

In complexity theory, ZPP (zero-error probabilistic polynomial time) is the complexity class of problems for which a probabilistic Turing machine exists with these properties.

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Complete problem, Hard (complexity).

References

[1] https://en.wikipedia.org/wiki/Complete_(complexity)

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