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Algorithm and Complexity class

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algorithm and Complexity class

Algorithm vs. Complexity class

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems. In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.

Similarities between Algorithm and Complexity class

Algorithm and Complexity class have 12 things in common (in Unionpedia): Abstract machine, Algorithm, Big O notation, Computability theory, Computational complexity theory, Optimization problem, P (complexity), RP (complexity), Time complexity, Turing machine, Turing reduction, ZPP (complexity).

Abstract machine

An abstract machine, also called an abstract computer, is a theoretical model of a computer hardware or software system used in automata theory.

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Algorithm

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

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Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

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Computability theory

Computability theory, also known as recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.

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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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Optimization problem

In mathematics and computer science, an optimization problem is the problem of finding the best solution from all feasible solutions.

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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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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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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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Turing machine

A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

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Turing reduction

In computability theory, a Turing reduction from a problem A to a problem B, is a reduction which solves A, assuming the solution to B is already known (Rogers 1967, Soare 1987).

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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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The list above answers the following questions

Algorithm and Complexity class Comparison

Algorithm has 288 relations, while Complexity class has 77. As they have in common 12, the Jaccard index is 3.29% = 12 / (288 + 77).

References

This article shows the relationship between Algorithm and Complexity class. To access each article from which the information was extracted, please visit:

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