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Satisfiability problem is given a Boolean formula, and decide if a satisfying truth assignment exists. ((x12)macr or x5) nland ((x24)macr or x3 or (x13)macr or x9) nland ... nland (x12) nland (x17 or x8 or (x18)macr) is an example of Boolean formula. k-SAT means that each clause has exactly k literals. Not-all-equal (NAE) 3-SAT problem is defined by Garey and Johnson in 1979 as follows: There is a...
The hitting-set problem is an NP-complete problem in set theory. Assume that we have collection C of subsets of a finite set S, and a positive integer K les |S|, and we would like to know if there is a subset S' sube S with |S'| les K such that S' hits (contains) at least one element from each subset in C. In this paper, the DNA-based algorithm is proposed to solve the hitting-set problem. Furthermore,...
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