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Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.
Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.
Until now, there was no single resource for actual digital system design. Using both basic and advanced concepts, Sequential Logic: Analysis and Synthesis offers a thorough exposition of the analysis and synthesis of both synchronous and asynchronous sequential machines. With 25 years of experience in designing computing equipment, the author stresses the practical design of state machines. He clearly delineates each step of the structured and rigorous design principles that can be applied to practical applications. The book begins by reviewing the analysis of combinatorial logic and Boolean algebra, and goes on to define sequential machines and discuss traditional and alternative methods for synthesizing synchronous sequential machines. The final chapters deal with asynchronous sequential machines and pulse-mode asynchronous sequential machines. Because this volume is technology-independent, these techniques can be used in a variety of fields, such as electrical and computer engineering as well as nanotechnology. By presenting each method in detail, expounding on several corresponding examples, and providing over 500 useful figures, Sequential Logic is an excellent tutorial on analysis and synthesis procedures.
This volume contains selected papers from LOPSTR 2003, the 13th Inter- tional Symposium on Logic-Based Program Synthesis and Transformation. The LOPSTR series is devoted to research in logic-based program development. P- ticular topics of interest are speci?cation, synthesis, veri?cation, transformation, specialization, analysis, optimization, composition, reuse, component-based so- ware development, agent-based software development, software architectures, design patterns and frameworks, program re?nement and logics for re?nement, proofs as programs, and applications and tools. LOPSTR 2003 took place at the University of Uppsala from August 25 to August 27 as part of PLI 2003 (Principles, Logics, and Implementations of High- Level Programming Languages). PLI was an ACM-organized confederation of conferences and workshops with ICFP 2003 (ACM-SIGPLAN International C- ference on Functional Programming) and PPDP 2003 (ACM-SIGPLAN Inter- tional Conference on Principles and Practice of Declarative Programming) as the main events. The LOPSTR community pro?ted from the shared lectures of the invited speakers, and the active scienti?c discussions enabled by the co-location. LOPSTR 2003 was the thirteenth in a series of events. Past events were held in Manchester, UK (1991, 1992, 1998), Louvain-la-Neuve, Belgium (1993), Pisa, Italy (1994), Arnhem, The Netherlands (1995), Stockholm, Sweden (1996), L- ven, Belgium (1997), Venice, Italy (1999), London, UK (2000), Paphos, Cyprus (2001), and Madrid, Spain (2002).
This book provides a single-source reference to the state-of-the-art in logic synthesis. Readers will benefit from the authors’ expert perspectives on new technologies and logic synthesis, new data structures, big data and logic synthesis, and convergent logic synthesis. The authors describe techniques that will enable readers to take advantage of recent advances in big data techniques and frameworks in order to have better logic synthesis algorithms.
Logic Synthesis Using Synopsys®, Second Edition is for anyone who hates reading manuals but would still like to learn logic synthesis as practised in the real world. Synopsys Design Compiler, the leading synthesis tool in the EDA marketplace, is the primary focus of the book. The contents of this book are specially organized to assist designers accustomed to schematic capture-based design to develop the required expertise to effectively use the Synopsys Design Compiler. Over 100 `Classic Scenarios' faced by designers when using the Design Compiler have been captured, discussed and solutions provided. These scenarios are based on both personal experiences and actual user queries. A general understanding of the problem-solving techniques provided should help the reader debug similar and more complicated problems. In addition, several examples and dc_shell scripts (Design Compiler scripts) have also been provided. Logic Synthesis Using Synopsys®, Second Edition is an updated and revised version of the very successful first edition. The second edition covers several new and emerging areas, in addition to improvements in the presentation and contents in all chapters from the first edition. With the rapid shrinking of process geometries it is becoming increasingly important that `physical' phenomenon like clusters and wire loads be considered during the synthesis phase. The increasing demand for FPGAs has warranted a greater focus on FPGA synthesis tools and methodology. Finally, behavioral synthesis, the move to designing at a higher level of abstraction than RTL, is fast becoming a reality. These factors have resulted in the inclusion of separate chapters in the second edition to cover Links to Layout, FPGA Synthesis and Behavioral Synthesis, respectively. Logic Synthesis Using Synopsys®, Second Edition has been written with the CAD engineer in mind. A clear understanding of the synthesis tool concepts, its capabilities and the related CAD issues will help the CAD engineer formulate an effective synthesis-based ASIC design methodology. The intent is also to assist design teams to better incorporate and effectively integrate synthesis with their existing in-house design methodology and CAD tools.
This volume contains a selection of the papers presented at LOPSTR 2004, the 14th International Symposium on Logic-Based Program Synthesis and Transformation. LOPSTR 2004 took place in Verona, Italy, and was co-located with the International Static Analysis Symposium (SAS 2004), the ACM SIGPLAN 2004 Workshop on Partial Evaluation and Semantics Based Program Manipulation (PEPM 2004), and the 6th ACM-SIGPLAN International Conference on Principles and Practice of Declarative Programming (PPDP 2004).
In The Mathematical Analysis of Logic, mathematician George Boole persuasively argues that logic should be aligned with mathematics, not philosophy.