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Computational complexity theory and Theory of computation

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

Difference between Computational complexity theory and Theory of computation

Computational complexity theory vs. Theory of computation

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. 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.

Similarities between Computational complexity theory and Theory of computation

Computational complexity theory and Theory of computation have 16 things in common (in Unionpedia): Alan Turing, Algorithm, Big O notation, Church–Turing thesis, Clay Mathematics Institute, Computability theory, Formal language, Introduction to Automata Theory, Languages, and Computation, Linear bounded automaton, Millennium Prize Problems, Model of computation, NP (complexity), Stephen Cook, String (computer science), Theoretical computer science, 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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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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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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Clay Mathematics Institute

The Clay Mathematics Institute (CMI) is a private, non-profit foundation, based in Peterborough, New Hampshire, United States.

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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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Introduction to Automata Theory, Languages, and Computation

Introduction to Automata Theory, Languages, and Computation is an influential computer science textbook by John Hopcroft and Jeffrey Ullman on formal languages and the theory of computation.

Computational complexity theory and Introduction to Automata Theory, Languages, and Computation · Introduction to Automata Theory, Languages, and Computation and Theory of computation · See more »

Linear bounded automaton

In computer science, a linear bounded automaton (plural linear bounded automata, abbreviated LBA) is a restricted form of Turing machine.

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Millennium Prize Problems

The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000.

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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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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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Stephen Cook

Stephen Arthur Cook, (born December 14, 1939) is an American-Canadian computer scientist and mathematician who has made major contributions to the fields of complexity theory and proof complexity.

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String (computer science)

In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable.

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Theoretical computer science

Theoretical computer science, or TCS, is a subset of general computer science and mathematics that focuses on more mathematical topics of computing and includes the theory of computation.

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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

Computational complexity theory and Theory of computation Comparison

Computational complexity theory has 164 relations, while Theory of computation has 68. As they have in common 16, the Jaccard index is 6.90% = 16 / (164 + 68).

References

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

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