Analytical hierarchy and Computability theory

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

Difference between Analytical hierarchy and Computability theory

Analytical hierarchy vs. Computability theory

In mathematical logic and descriptive set theory, the analytical hierarchy is an extension of the arithmetical hierarchy. 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.

Similarities between Analytical hierarchy and Computability theory

Analytical hierarchy and Computability theory have 6 things in common (in Unionpedia): Arithmetical hierarchy, Cantor space, Hyperarithmetical theory, Mathematical logic, Natural number, Second-order arithmetic.

Arithmetical hierarchy

In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy classifies certain sets based on the complexity of formulas that define them.

Analytical hierarchy and Arithmetical hierarchy · Arithmetical hierarchy and Computability theory · See more »

Cantor space

In mathematics, a Cantor space, named for Georg Cantor, is a topological abstraction of the classical Cantor set: a topological space is a Cantor space if it is homeomorphic to the Cantor set.

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Hyperarithmetical theory

In recursion theory, hyperarithmetic theory is a generalization of Turing computability.

Analytical hierarchy and Hyperarithmetical theory · Computability theory and Hyperarithmetical theory · See more »

Mathematical logic

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

Analytical hierarchy and Mathematical logic · Computability theory and Mathematical logic · See more »

Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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Second-order arithmetic

In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets.

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The list above answers the following questions

What Analytical hierarchy and Computability theory have in common
What are the similarities between Analytical hierarchy and Computability theory

Analytical hierarchy and Computability theory Comparison

Analytical hierarchy has 18 relations, while Computability theory has 101. As they have in common 6, the Jaccard index is 5.04% = 6 / (18 + 101).

References

This article shows the relationship between Analytical hierarchy and Computability theory. To access each article from which the information was extracted, please visit:

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