Abstract. In this paper we give a short overview of the decision diagrams, and define a special class of high-level decision diagrams (HLDD) for formal representation of digital systems. We show how the HLDDs can be used for high-level verification of digital systems. For this purpose, HLDDs are represented by characteristic polynomials as a canonical form of HLDDs. The polynomials can be used for proving the equivalence between two HLDDs, which have the same functionalities but may have different internal structures. Some possibilities are shown how to cope with the complexity of the verification problem.

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