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Logic Synthesis and Verification
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Table of Contents

1 Two-Level Logic Minimization.- 1.1 Introduction.- 1.2 Exact Logic Minimization.- 1.3 Heuristic Logic Minimization.- 1.4 Conclusion.- 2 Multi-Level Logic Optimization.- 2.1 Introduction.- 2.2 Algebraic Methods.- 2.3 Boolean Methods.- 2.4 Functional Decomposition.- 2.5 Conclusions and Perspectives.- 2.6 Acknowledgments.- 3 Flexibility in Logic.- 3.1 Introduction.- 3.2 Environment.- 3.3 Types of Flexibility.- 3.4 Historical Perspective.- 4 Multiple-Valued Logic Synthesis and Optimization.- 4.1 Introduction.- 4.2 Multiple-Valued Functions.- 4.3 Functional Completeness.- 4.4 Chain-Based Post Algebra.- 4.5 Representations of Multiple-Valued Functions.- 4.6 Two-level Logic Optimization.- 4.7 Multi-Level Logic Optimization.- 4.8 Summary.- 4.9 Historical Perspectives.- 5 Technology Mapping.- 5.1 Introduction.- 5.2 Decomposition.- 5.3 Pattern Matching.- 5.4 Covering.- 5.5 Other Costs.- 5.6 Conclusions and Perspectives.- 6 Technology-based Transformations.- 6.1 Introduction.- 6.2 Gate Delay Models.- 6.3 Logic Transformations.- 6.4 Trends.- 7 Logical and Physical Design: A flow Perspective.- 7.1 Introduction.- 7.2 Logical and Physical Design Challenges.- 7.3 Survey of Current Design Flows.- 7.4 Refinement-based Flow.- 7.5 Conclusion & Perspective.- 8 Logic Synthesis for Low Power.- 8.1 Introduction.- 8.2 Gate-Level Techniques.- 8.3 Register-Transfer Level Techniques.- 8.4 The Evolution of Low-Power Synthesis.- 8.5 Conclusions.- 9 Optimization of Synchronous Circuits.- 9.1 Introduction.- 9.2 State-Based Techniques.- 9.3 Structural Techniques.- 9.4 Future Challenges.- 10 Asynchronous Control Circuits.- 10.1 Introduction.- 10.2 Burst-Mode Circuits.- 10.3 Speed-Independent Circuits.- 10.4 Conclusions.- 11 Ordered Binary Decision Diagrams.- 11.1 Introduction.- 11.2 Data Structures forSwitching Functions.- 11.3 OBDDs — Ordered Binary Decision Diagrams.- 11.4 Paradigmatic Applications of OBDDs.- 11.5 Optimization of Variable Ordering.- 11.6 Various Improvements of the BDD Data Structure.- 11.7 WWW-Portal for BDD Research.- 12 SAT and ATPG: Algorithms for Boolean Decision Problems.- 12.1 Introduction.- 12.2 SAT and ATPG Problem Formulations.- 12.3 Combinational Deterministic ATPG.- 12.4 SAT Algorithms: A Taxonomy.- 12.5 Search Acceleration Techniques.- 12.6 Implementation Issues.- 12.7 Historical Perspectives and Open Problems.- 13 Combinational and Sequential Equivalence Checking.- 13.1 Introduction.- 13.2 Problem Definition.- 13.3 General Approach to Formal Equivalence Checking.- 13.4 Deriving the Invariant ?.- 13.5 Combinational Equivalence Checking.- 13.6 Sequential Equivalence Checking.- 13.7 Implementation and Application Issues.- 13.8 Summary and Future Problems.- 14 Static Timing Analysis.- 14.1 Introduction.- 14.2 Basics.- 14.3 Path Exceptions.- 14.4 Transparent Latches.- 14.5 Incremental Timing Analysis.- 14.6 Statistical Timing Analysis.- 14.7 Summary and Future Challenges.- 14.8 Historical Perspective.- 15 The Future of Logic Synthesis and Verification.- 15.1 Logic Synthesis – Introduction.- 15.2 Techniques On The Edge.- 15.3 Physical/Logical Design.- 15.4 DSM Issues.- 15.5 Design For Low Power.- 15.6 Use In Software Compilers.- 15.7 Sequential Issues.- 15.8 Implementation Issues.- 15.9 Additional Challenges.- 15.10 Verification: Introduction.- 15.11 Static Timing.- 15.12 ATPG and SAT.- 15.13 BDDs.- 15.14 Equivalence Checking.- Appendices.- Appendix A: About the Authors.- Appendix B: Author Contact Information.

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