Representations of Discrete Functions / Edition 1

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Representations of Discrete Functions 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. Representations of Discrete Functions is designed for CAD researchers and engineers and will 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.
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Editorial Reviews

A collection of 13 papers, most from an August 1995 workshop in Makuhari, Japan, subsequently tested and revised as a text for a graduate course in computer-aided design and combinatorial problems. After three introductory chapters, treats a wide range of decision diagrams, including binary, multi-terminal binary, edge-valued binary, functional, Kranecker, binary moment, spectral transform, and ternary. Other topics include the spectral and other transformation of logic functions, multi- level logic synthesis, and the complexity of three-level logic networks. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780792397205
  • Publisher: Springer US
  • Publication date: 4/30/1996
  • Edition description: 1996
  • Edition number: 1
  • Pages: 336
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.81 (d)

Table of Contents

1 Graph-Based Representations of Discrete Functions 1
2 Representations of Logic Functions Using Exor Operators 29
3 Spectral Transform Decision Diagrams 55
4 Multi-Terminal Binary Decision Diagrams and Hybrid Decision Diagrams 93
5 Edge Valued Binary Decision Diagrams 109
6 Arithmetic Transform of Boolean Functions 133
7 OKFDDS - Algorithms, Applications and Extensions 163
8 Exact Minimization of FPRMS Using Multi-Terminal Exor TDDS 191
9 Multiple Domain Logic Synthesis 211
10 Satisfiability Problems for OFDDS 233
11 Complexity Theoretical Aspects of OFDDS 249
12 Ternary Decision Diagrams and their Applications 269
13 OR-and-OR Three-Level Networks 293
Exercise 311
Appendix 317
Index 327
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