Oracle machine and Polynomial hierarchy

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

Difference between Oracle machine and Polynomial hierarchy

Oracle machine vs. Polynomial hierarchy

In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems. 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.

Similarities between Oracle machine and Polynomial hierarchy

Oracle machine and Polynomial hierarchy have 10 things in common (in Unionpedia): Arithmetical hierarchy, Boolean satisfiability problem, Complete (complexity), Complexity class, Computational complexity theory, Decision problem, P versus NP problem, PSPACE, Time complexity, Turing machine.

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.

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Boolean satisfiability problem

In computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated as SATISFIABILITY or SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula.

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Complete (complexity)

In computational complexity theory, a computational problem is complete for a complexity class if it is, in a technical sense, among the "hardest" (or "most expressive") problems in the complexity class.

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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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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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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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P versus NP problem

The P versus NP problem is a major unsolved problem in computer science.

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PSPACE

In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space.

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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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The list above answers the following questions

What Oracle machine and Polynomial hierarchy have in common
What are the similarities between Oracle machine and Polynomial hierarchy

Oracle machine and Polynomial hierarchy Comparison

Oracle machine has 34 relations, while Polynomial hierarchy has 41. As they have in common 10, the Jaccard index is 13.33% = 10 / (34 + 41).

References

This article shows the relationship between Oracle machine and Polynomial hierarchy. To access each article from which the information was extracted, please visit:

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