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Computational complexity theory and List of mathematical logic topics

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

Difference between Computational complexity theory and List of mathematical logic topics

Computational complexity theory vs. List of mathematical logic topics

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. This is a list of mathematical logic topics, by Wikipedia page.

Similarities between Computational complexity theory and List of mathematical logic topics

Computational complexity theory and List of mathematical logic topics have 19 things in common (in Unionpedia): Alan Turing, Algorithm, Church–Turing thesis, Complexity class, Computability theory, Cook–Levin theorem, Decision problem, Descriptive complexity theory, Formal language, Interactive proof system, List of complexity classes, List of computability and complexity topics, NP-completeness, Polynomial hierarchy, Presburger arithmetic, Space hierarchy theorem, Time complexity, Time hierarchy theorem, 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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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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Complexity class

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

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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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Cook–Levin theorem

In computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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Descriptive complexity theory

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic needed to express the languages in them.

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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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Interactive proof system

In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties.

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List of complexity classes

This is a list of complexity classes in computational complexity theory.

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List of computability and complexity topics

This is a list of computability and complexity topics, by Wikipedia page.

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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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Polynomial hierarchy

In computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes P, NP and co-NP to oracle machines.

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Presburger arithmetic

Presburger arithmetic is the first-order theory of the natural numbers with addition, named in honor of Mojżesz Presburger, who introduced it in 1929.

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Space hierarchy theorem

In computational complexity theory, the space hierarchy theorems are separation results that show that both deterministic and nondeterministic machines can solve more problems in (asymptotically) more space, subject to certain conditions.

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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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Time hierarchy theorem

In computational complexity theory, the time hierarchy theorems are important statements about time-bounded computation on Turing machines.

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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 List of mathematical logic topics Comparison

Computational complexity theory has 164 relations, while List of mathematical logic topics has 354. As they have in common 19, the Jaccard index is 3.67% = 19 / (164 + 354).

References

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

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