Computer Science – Artificial Intelligence
Scientific paper
2010-06-08
Computer Science
Artificial Intelligence
6 pages; proceedings of AAAI 2010
Scientific paper
The rigorous theoretical analyses of algorithms for #SAT have been proposed in the literature. As we know, previous algorithms for solving #SAT have been analyzed only regarding the number of variables as the parameter. However, the time complexity for solving #SAT instances depends not only on the number of variables, but also on the number of clauses. Therefore, it is significant to exploit the time complexity from the other point of view, i.e. the number of clauses. In this paper, we present algorithms for solving #2-SAT and #3-SAT with rigorous complexity analyses using the number of clauses as the parameter. By analyzing the algorithms, we obtain the new worst-case upper bounds O(1.1892m) for #2-SAT and O(1.4142m) for #3-SAT, where m is the number of clauses.
Yin Minghao
Zhou Chunguang
Zhou Junping
No associations
LandOfFree
New worst upper bound for #SAT does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with New worst upper bound for #SAT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New worst upper bound for #SAT will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-30133