Abstract-Simulation and Boolean satisfiability (SAT) checking are common techniques used in logic verification. This paper shows how simulation and satisfiability (S&S) can be tightly integrated to efficiently compute flexibilities in a multilevel Boolean network, including the following: 1) complete "don't cares" (CDCs); 2) sets of pairs of functions to be distinguished (SPFDs); and 3) sets of candidate nodes for resubstitution. These flexibilities can be used in network optimization to change the network structure while preserving its functionality. In the first two applications, simulation quickly enumerates most of the solutions while SAT detects the remaining solutions. In the last application, simulation efficiently filters out most of the infeasible solutions while SAT checks the remaining candidates. The experimental results confirm that the combination of simulation and SAT offers a computation engine that outperforms binary decision diagrams, which are traditionally used in such applications.
Abstract-This paper describes linear cofactor relationships (LCRs), which are defined as the exclusive sums of cofactors with respect to a pair of variables in Boolean functions. These relationships subsume classical symmetries and single-variable symmetries. The paper proposes an efficient algorithm to detect LCRs and discusses their potential applications in Boolean matching, minimization of decision diagrams, synthesis of regular layout-friendly logic circuits, and detection of support-reducing bound sets.Index Terms-Boolean functions, linear cofactor relationship (LCR), logic synthesis, symmetry.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.