Abstract: Disclosed is a slave processor (100) for a multiprocessor logic circuit fault simulator. The slave processor has a hardware-based list processor (110) for performing set algebra operations on fault lists (300). The operation of the list processor centers on a characteristic vector (A) that has a bit (360) for each fault number (310) that can appear in a fault list. The bits are implemented in bit locations (210) of a register (201). The list processor also has a second vector (B), implemented in a register (202), whose bit locations form shift register pairs (208) with locations of vector A bits to store values of vector A bits shifted out by entry of new values. The list processor further has two stacks (A, B), implemented in memories (203, 204), for storing fault numbers. As fault numbers of a first fault list are loaded into the list processor, corresponding vector A bits are set, and the fault numbers are pushed onto the stack A.