DocumentCode
532303
Title
Delay of SAT-algorithms by Schuler and his derandomization by Dantsin and Wolpert
Author
Gong, Wei ; Lian, Bin
Author_Institution
Dept. of Electron. & Inf., Tianjin Inst. of Urban Constr., Tianjin, China
Volume
8
fYear
2010
fDate
22-24 Oct. 2010
Abstract
The satisfaction problem (SAT-problem) for propositional formulas one of the most common NP-hard problems: for a propositional formula F the problem is to determine if F is satisfiable or not. There are two groups of algorithms that can solve this problem - deterministic and randomized algorithms. In this proposal we will analyze two of the most common algorithms, the randomized algorithm by Rainer Schuler and its derandomization by Evgeny Dantsin and Alexander Wolpert. Both theoretical have the delay of equation with a polynomial p, n as the number of variables in the formula and m as the number of clauses in the formula. But there is no practical analysis and this will show you here. The explanation of these algorithms is not part of this work. First of all some notations will be introduced. A clause K is the disjunction of literals. A formula F is a propositional formula in conjunctive normal form (CNF). A configuration of the variables x1,...,xn is a map to logical value. The number of variable in a formula is n and the number of clauses in a formula is m.
Keywords
computability; computational complexity; deterministic algorithms; randomised algorithms; NP-hard problems; SAT algorithms; conjunctive normal form; derandomization; deterministic algorithms; polynomial; randomized algorithms; satisfaction problem; deterministic algorithms; non-satisfiable formulas; randomized algorithms; satisfiable formulas;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location
Taiyuan
Print_ISBN
978-1-4244-7235-2
Electronic_ISBN
978-1-4244-7237-6
Type
conf
DOI
10.1109/ICCASM.2010.5620303
Filename
5620303
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