A method for verifying a design through symbolic simulation is disclosed. The method comprises creating one or more binary decision diagram variables for one or more inputs in a design containing one or more state variables and building a binary decision diagram for a first node of one or more nodes of the design. A binary decision diagram for the initial state function of one or more state variables of the design is generated and the design is subsequently initialized. Binary decisions diagrams for one or more constraints are synthesized. A set of constraint values is accumulated over time by combining the binary decision diagrams for the one or more constraints with a set of previously generated binary decision diagrams for a set of constraints previously used in one or more previous time-steps. A binary decision diagram for the next state function of the one or more state variables in the design is constructed in the presence of the constraints. The one or more state variables in the design are updated by propagating the binary decision diagram for the next state function to the one or more state variables and a set of binary decision diagrams for the one or more targets in the presence of the one or more constraints is calculated. The set of binary decision diagrams for one or more targets is constrained and the design is verified by determining whether the one or more targets were hit.