Using SAT for combinational equivalence checking

Abstract

This paper addresses the problem of combinational equivalence checking (CEC) which forms one of the key components of the current verification methodology for digital systems. A number of recently proposed BDD based approaches have met with considerable success in this area. However, the growing gap between the capability of current solvers and the complexity of verification instances necessitates the exploration of alternative, better solutions. This paper revisits the application of Satisfiability (SAT) algorithms to the combinational equivalence checking (CEC) problem. We argue that SAT is a more robust and flexible engine of Boolean reasoning for the CEC application than BDDs, which have traditionally been the method of choice. Preliminary results on a simple framework for SAT based CEC show a speedup of up to two orders of magnitude compared to state-of-the-art SAT based methods for CEC and also demonstrate that even with this simple algorithm and untuned prototype implementation it is only moderately slower and sometimes faster than a state-of-the-art BDD based mixed engine commercial CEC tool. While SAT based CEC methods need further research and tuning before they can surpass almost a decade of research in BDD based CEC, the recent progress is very promising and merits continued research.