Self-referential verification of gate-level implementations of arithmetic circuits

In this paper, we propose a self-referential functional verification approach which uses the gate-level implementation of the arithmetic circuit under verification to verify itself. Specifically, the verification task is decomposed into a sequence of equivalence checking subproblems, each of which compares circuit pairs derived from the implementation under verification based on the proposed self-referential functional equations. A decomposition-based heuristic using structural information is employed to guide the verification process for better efficiency. Experimental results on a number of implementations of multiply-add units and inner product units with different architectures demonstrate the versatility of this approach.