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To ease hardware design process, circuits are normally designed in description languages such as Verilog and VHDL. The correctness of circuits is normally checked by exhaustive simulation in simulators such as Icarus and VCS. Both the description languages Verilog/VHDL and simulators Icarus/VCS do not have mathematical foundations and hence are not reliable and cannot be used to mathematically prove correctness of circuit designs. Hardware description languages with mathematical (formal) foundation such as VeriFormal, on the other hand, are more reliable, trustworthy and can be used for robust design. In this paper, we report our results of formal verifications of two simple hardware circuits designed in the formal description language VeriFormal. Using the VeriFormal simulator and the accompanied type checker tools, we prove reliability properties type safety, functional correctness and functional equivalence of the digital circuits.

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