Researchers find the conditions which make a regular balanced random (k,2s)-CNF formula (1,0)-unsatisfiable with high probability. The conditions also make a random instance of the regular balanced (k-1,2(k-1)s)-SAT problem unsatisfiable with high probability, where the instance obeys a distribution which differs from the distribution obeyed by a regular balanced random (k-1,2(k-1)s)-CNF formula. So, the researchers actually provide a class of new random instances for designing algorithms for the k-SAT problem. The findings were published on 15 August 2024 in Frontiers of Computer Science co-published by Higher Education Press and Springer Nature.
Journal
Frontiers of Computer Science
Method of Research
Experimental study
Subject of Research
Not applicable
Article Title
On the upper bounds of (1,0)-super solutions for the regular balanced random (k,2s)-SAT problem
Article Publication Date
15-Aug-2024