Augmenting all solution SAT solving for circuits with structural information

Abstract

All solutions SAT (All-SAT) is important in applications where we require enumerating all satisfying assignments of a propositional formula, e.g., when reasoning over many or all possible test patterns in Automatic Test Pattern Generation (ATPG). We applied structural analysis starting from primary inputs or primary outputs to generalize a current total assignment to a partial assignment. This speeds up the determination of all satisfying assignments. The experiments were conducted using a large number of random instances and different available All-SAT solvers. We show that structural analysis techniques can significantly speed up enumeration of all satisfying assignments of combinational circuits and yield the the second largest number of total satisfying assignments from all compared All-SAT solvers.