Parameterized Algorithm for 3-SAT

The SAT problem is the classical NP-complete problem. In the past, many methods have been proposed for solving this problem. We investigated a new method for 3-SAT problem, which is a fixed parameterized algorithm proposed in this paper first. This method uses a fixed parameter k, where k is the number of true values in an assignment for checking whether the formula is satisfied or not. The complexity of our algorithm is O(3k ), which is exponentially independent of the number of variables. Theoretical analysis shows that when k is small, this method has smaller search space and higher speed