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Computable function and Computational complexity theory

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

Difference between Computable function and Computational complexity theory

Computable function vs. Computational complexity theory

Computable functions are the basic objects of study in computability 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.

Similarities between Computable function and Computational complexity theory

Computable function and Computational complexity theory have 11 things in common (in Unionpedia): Alan Turing, Algorithm, Blum axioms, Church–Turing thesis, Computability theory, Formal language, Function problem, Model of computation, Partial function, Theory of computation, Turing machine.

Alan Turing

Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst, philosopher, and theoretical biologist.

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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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Blum axioms

In computational complexity theory the Blum axioms or Blum complexity axioms are axioms that specify desirable properties of complexity measures on the set of computable functions.

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Church–Turing thesis

In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a hypothesis about the nature of computable functions.

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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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Formal language

In mathematics, computer science, and linguistics, a formal language is a set of strings of symbols together with a set of rules that are specific to it.

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Function problem

In computational complexity theory, a function problem is a computational problem where a single output (of a total function) is expected for every input, but the output is more complex than that of a decision problem.

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Model of computation

In computer science, and more specifically in computability theory and computational complexity theory, a model of computation is a model which describes how a set of outputs are computed given a set of inputs.

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Partial function

In mathematics, a partial function from X to Y (written as or) is a function, for some subset X ′ of X.

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Theory of computation

In theoretical computer science and mathematics, the theory of computation is the branch that deals with how efficiently problems can be solved on a model of computation, using 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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The list above answers the following questions

Computable function and Computational complexity theory Comparison

Computable function has 69 relations, while Computational complexity theory has 164. As they have in common 11, the Jaccard index is 4.72% = 11 / (69 + 164).

References

This article shows the relationship between Computable function and Computational complexity theory. To access each article from which the information was extracted, please visit:

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