Representations of Discrete Functions

1. Front Matter

   Pages i-xvi

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2. Graph-Based Representations of Discrete Functions

   • Shin-ichi Minato

   Pages 1-28

3. Representations of Logic Functions Using EXOR Operators

   • Tsutomu Sasao

   Pages 29-54

4. Spectral Transform Decision Diagrams

   • Radomir S. Stanković, Tsutomu Sasao, Claudio Moraga

   Pages 55-92

5. Multi-Terminal Binary Decision Diagrams and Hybrid Decision Diagrams

   • Edmund M. Clarke, Masahiro Fujita, Xudong Zhao

   Pages 93-108

6. Edge Valued Binary Decision Diagrams

   • Sarma B. K. Vrudhula, Massoud Pedram, Yung-Te Lai

   Pages 109-132

7. Arithmetic Transform of Boolean Functions

   • Jawahar Jain

   Pages 133-161

8. OKFDDs — Algorithms, Applications and Extensions

   • Rolf Drechsler, Bernd Becker

   Pages 163-190

9. Exact Minimization of FPRMs Using Multi-Terminal Exor TDDs

   • Tsutomu Sasao, Fumitaka Izuhara

   Pages 191-210

10. Multiple Domain Logic Synthesis

    • Jörg Bullmann, Udo Kebschull

    Pages 211-232

11. Satisfiability Problems for OFDDs

    • Ralph Werchner, Thilo Harich, Rolf Drechsler, Bernd Becker

    Pages 233-248

12. Complexity Theoretical Aspects of OFDDs

    • Beate Bollig, Martin Löbbing, Martin Sauerhoff, Ingo Wegener

    Pages 249-268

13. Ternary Decision Diagrams and their Applications

    • Tsutomu Sasao

    Pages 269-292

14. Or-and-Or Three-Level Networks

    • Tsutomu Sasao

    Pages 293-310

15. Back Matter

    Pages 311-331

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Representations of Discrete Functions 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 oflogic 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.

• CAD
• algorithms
• complexity
• computer
• computer-aided design (CAD)
• integrated circuit
• logic

• Department of Computer Science and Electronics, Kyushu Institute of Technology, Iizuka, Japan

  Tsutomu Sasao

• Fujitsu Laboratories of America Inc., Santa Clara, USA

  Masahiro Fujita

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