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RP (complexity)

Index 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. [1]

16 relations: Algorithm, BPP (complexity), Co-NP, Complexity class, Computational complexity theory, Independence (probability theory), Michael O. Rabin, Non-deterministic Turing machine, NP (complexity), P (complexity), P versus NP problem, Polynomial identity testing, Probabilistic Turing machine, Randomized algorithm, Recursive language, ZPP (complexity).

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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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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Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.

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Michael O. Rabin

Michael Oser Rabin (מִיכָאֵל עוזר רַבִּין, born September 1, 1931) is an Israeli computer scientist and a recipient of the Turing Award.

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Non-deterministic Turing machine

In theoretical computer science, a Turing machine is a theoretical machine that is used in thought experiments to examine the abilities and limitations of computers.

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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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P (complexity)

In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class.

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P versus NP problem

The P versus NP problem is a major unsolved problem in computer science.

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Polynomial identity testing

In mathematics, polynomial identity testing (PIT) is the problem of efficiently determining whether two multivariate polynomials are identical.

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Probabilistic Turing machine

In computability theory, a probabilistic Turing machine is a non-deterministic Turing machine which chooses between the available transitions at each point according to some probability distribution.

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Randomized algorithm

A randomized algorithm is an algorithm that employs a degree of randomness as part of its logic.

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Recursive language

In mathematics, logic and computer science, a formal language (a set of finite sequences of symbols taken from a fixed alphabet) is called recursive if it is a recursive subset of the set of all possible finite sequences over the alphabet of the language.

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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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Redirects here:

Co-RP, RP (class), RP (complexity class), Randomized polynomial time, Randomized polynomial-time.

References

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

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