Title: Maximum Satisfiability Problem : Computational complexity theory, Propositional formula, NP-hard, Boolean satisfiability problem, NP-complete, APX
Publisher: Omniscriptum
Publication Date: 2010
Language: English
ISBN 10: 6132868178
ISBN 13: 9786132868176
Binding: Taschenbuch
Condition: Neu
Dimensions: 220 millimeters width by 150 millimeters height by 5 millimeters depth
Weight: 131 grams

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computational complexity theory, the Maximum Satisfiability problem, or MAX-SAT, is the problem of determining the maximum number of clauses, of a given Boolean formula, that can be satisfied by some assignment. The MAX-SAT problem is NP-hard, since its solution easily leads to the solution of the boolean satisfiability problem, which is NP-complete. It is also APX-complete, and thus does not admit a PTAS unless P = NP. MAX-SAT is one of the optimization extensions of the boolean satisfiability problem, which is the problem of determining if the variables of a given Boolean formula can be assigned in such a way as to make the formula evaluate to TRUE. If the clauses are restricted to have at most 2 literals, as in 2-satisfiability, we get the MAX-2SAT problem. If they are restricted to at most 3 literals per clause, as in 3-satisfiability, we get the MAX-3SAT problem.

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