A method of incrementally reducing a design is disclosed. A logic verification tool receives a design and a property for verification with respect to the design, and then selects one or more of a plurality of diverse techniques for reducing the design. The logic verification tool then reduces the design to create a reduced design using the one or more techniques and attempts to generate a valid solution for the property on the reduced design. The logic verification tool determines whether a valid solution is generated, and, if not, replaces the design with the reduced design. Until a valid solution is generated, the logic verification tool iteratively performs the selecting, reducing, determining and replacing steps.