Boolean satisfiability problem and Decision problem

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Difference between Boolean satisfiability problem and Decision problem

Boolean satisfiability problem vs. Decision 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. 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.

Similarities between Boolean satisfiability problem and Decision problem

Boolean satisfiability problem and Decision problem have 9 things in common (in Unionpedia): Algorithm, Co-NP-complete, Complexity class, Computational complexity theory, Linear programming, NP (complexity), NP-completeness, Polynomial-time reduction, Time complexity.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Co-NP-complete

In complexity theory, computational problems that are co-NP-complete are those that are the hardest problems in co-NP, in the sense that any problem in co-NP can be reformulated as a special case of any co-NP-complete problem with only polynomial overhead.

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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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Linear programming

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

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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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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-time reduction

In computational complexity theory, a polynomial-time reduction is a method of solving one problem by means of a hypothetical subroutine for solving a different problem (that is, a reduction), that uses polynomial time excluding the time within the subroutine.

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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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The list above answers the following questions

What Boolean satisfiability problem and Decision problem have in common
What are the similarities between Boolean satisfiability problem and Decision problem

Boolean satisfiability problem and Decision problem Comparison

Boolean satisfiability problem has 121 relations, while Decision problem has 46. As they have in common 9, the Jaccard index is 5.39% = 9 / (121 + 46).

References

This article shows the relationship between Boolean satisfiability problem and Decision problem. To access each article from which the information was extracted, please visit:

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