Representations of Discrete Functions

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This is an edited volume containing 13 chapter contributions from leading researchers, with a focus on the latest research results. The first three chapters are introductions and contain many illustrations to clarify concepts presented in the text. It is recommended that these chapters are read first. The book then deals with the following topics: binary decision diagrams (BDDs); multi-terminal binary decision diagrams (MTBDDs); edge-valued binary decision diagrams (EVBDDs); functional decision diagrams (FDDs); Kronecker decision diagrams (KDDs); binary moment diagrams (BMDs); spectral transform decision diagrams (STDDs); ternary decision diagrams (TDDs); spectral transformation of logic functions; other transformations of logic functions; EXOR-based two-level expressions; FPRM minimization with TDDs and MTBDDs; complexity theories on FDDs; multi-level logic synthesis; and complexity of three-level logic networks. The book is designed for CAD researchers and engineers and should also be of interest to computer scientists who are interested in combinatorial problems. Exercises prepared by the editors help make this book useful as a graduate-level textbook.