Solving Satisfiability Problems Using Logic Synthesis and Reconfigurable Hardware
Takayuki Suyama, Makoto Yokoo, Hiroshi Sawada
Proceedings of the 31st Hawaii International Conference on System Sciences (HICSS-31), 1998.

This paper presents new results on an innovative approach for solving satisfiability problems (SAT), i.e., creating a logic circuit that is specialized to solve each problem instance on Field Programmable Gate Arrays (FPGAs). This approach becomes feasible due to the recent advances in FPGA technologies and automatic logic synthesis technologies.

We have developed an algorithm which is suitable for implementing on a logic circuit. This algorithm is equivalent to the Davis-Putnam procedure with a powerful dynamic variable ordering heuristic. The algorithm does not have a large memory structure like a stack; thus sequential accesses to the memory do not become a bottleneck in algorithm execution.

Simulation results show that this method can solve a hard random 3-SAT problem with 400 variables within 20 minutes at a clock rate of 1MHz.