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Binary Decision Diagrams
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Book Synopsis Binary Decision Diagrams by : Rolf Drechsler
Download or read book Binary Decision Diagrams written by Rolf Drechsler and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: For someone with a hammer the whole world looks like a nail. Within the last 10-13 years Binar·y Decision Diagmms (BDDs) have become the state-of-the-art data structure in VLSI CAD for representation and ma nipulation of Boolean functions. Today, BDDs are widely used and in the meantime have also been integrated in commercial tools, especially in the area of verijication and synthesis. The interest in BDDs results from the fact that the data structure is generally accepted as providing a good compromise between conciseness of representation and efficiency of manipulation. With increasing number of applications, also in non CAD areas, classical methods to handle BDDs are being improved and new questions and problems evolve and have to be solved. The book should help the reader who is not familiar with BDDs (or DDs in general) to get a quick start. On the other hand it will discuss several new aspects of BDDs, e.g. with respect to minimization and implementation of a package. This will help people working with BDDs (in industry or academia) to keep informed about recent developments in this area.
Book Synopsis Binary Decision Diagrams and Applications for VLSI CAD by : Shin-ichi Minato
Download or read book Binary Decision Diagrams and Applications for VLSI CAD written by Shin-ichi Minato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic Boolean manipulation using binary decision diagrams (BDDs) has been successfully applied to a wide variety of tasks, particularly in very large scale integration (VLSI) computer-aided design (CAD). The concept of decision graphs as an abstract representation of Boolean functions dates back to the early work by Lee and Akers. In the last ten years, BDDs have found widespread use as a concrete data structure for symbolic Boolean manipulation. With BDDs, functions can be constructed, manipulated, and compared by simple and efficient graph algorithms. Since Boolean functions can represent not just digital circuit functions, but also such mathematical domains as sets and relations, a wide variety of CAD problems can be solved using BDDs. `Binary Decision Diagrams and Applications for VLSI CAD provides valuable information for both those who are new to BDDs as well as to long time aficionados.' -from the Foreword by Randal E. Bryant. `Over the past ten years ... BDDs have attracted the attention of many researchers because of their suitability for representing Boolean functions. They are now widely used in many practical VLSI CAD systems. ... this book can serve as an introduction to BDD techniques and ... it presents several new ideas on BDDs and their applications. ... many computer scientists and engineers will be interested in this book since Boolean function manipulation is a fundamental technique not only in digital system design but also in exploring various problems in computer science.' - from the Preface by Shin-ichi Minato.
Book Synopsis Branching Programs and Binary Decision Diagrams by : Ingo Wegener
Download or read book Branching Programs and Binary Decision Diagrams written by Ingo Wegener and published by SIAM. This book was released on 2000-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite functions (in particular, Boolean functions) play a fundamental role in computer science and discrete mathematics. This book describes representations of Boolean functions that have small size for many important functions and which allow efficient work with the represented functions. The representation size of important and selected functions is estimated, upper and lower bound techniques are studied, efficient algorithms for operations on these representations are presented, and the limits of those techniques are considered. This book is the first comprehensive description of theory and applications. Research areas like complexity theory, efficient algorithms, data structures, and discrete mathematics will benefit from the theory described in this book. The results described within have applications in verification, computer-aided design, model checking, and discrete mathematics. This is the only book to investigate the representation size of Boolean functions and efficient algorithms on these representations.
Book Synopsis Handbook of Model Checking by : Edmund M. Clarke
Download or read book Handbook of Model Checking written by Edmund M. Clarke and published by Springer. This book was released on 2018-05-18 with total page 1210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model checking is a computer-assisted method for the analysis of dynamical systems that can be modeled by state-transition systems. Drawing from research traditions in mathematical logic, programming languages, hardware design, and theoretical computer science, model checking is now widely used for the verification of hardware and software in industry. The editors and authors of this handbook are among the world's leading researchers in this domain, and the 32 contributed chapters present a thorough view of the origin, theory, and application of model checking. In particular, the editors classify the advances in this domain and the chapters of the handbook in terms of two recurrent themes that have driven much of the research agenda: the algorithmic challenge, that is, designing model-checking algorithms that scale to real-life problems; and the modeling challenge, that is, extending the formalism beyond Kripke structures and temporal logic. The book will be valuable for researchers and graduate students engaged with the development of formal methods and verification tools.
Book Synopsis Decision Diagrams for Optimization by : David Bergman
Download or read book Decision Diagrams for Optimization written by David Bergman and published by Springer. This book was released on 2016-11-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a novel approach to discrete optimization, providing both theoretical insights and algorithmic developments that lead to improvements over state-of-the-art technology. The authors present chapters on the use of decision diagrams for combinatorial optimization and constraint programming, with attention to general-purpose solution methods as well as problem-specific techniques. The book will be useful for researchers and practitioners in discrete optimization and constraint programming. "Decision Diagrams for Optimization is one of the most exciting developments emerging from constraint programming in recent years. This book is a compelling summary of existing results in this space and a must-read for optimizers around the world." [Pascal Van Hentenryck]
Book Synopsis Symbolic Model Checking by : Kenneth L. McMillan
Download or read book Symbolic Model Checking written by Kenneth L. McMillan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal verification means having a mathematical model of a system, a language for specifying desired properties of the system in a concise, comprehensible and unambiguous way, and a method of proof to verify that the specified properties are satisfied. When the method of proof is carried out substantially by machine, we speak of automatic verification. Symbolic Model Checking deals with methods of automatic verification as applied to computer hardware. The practical motivation for study in this area is the high and increasing cost of correcting design errors in VLSI technologies. There is a growing demand for design methodologies that can yield correct designs on the first fabrication run. Moreover, design errors that are discovered before fabrication can also be quite costly, in terms of engineering effort required to correct the error, and the resulting impact on development schedules. Aside from pure cost considerations, there is also a need on the theoretical side to provide a sound mathematical basis for the design of computer systems, especially in areas that have received little theoretical attention.
Book Synopsis Logic Synthesis and Verification by : Soha Hassoun
Download or read book Logic Synthesis and Verification written by Soha Hassoun and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development of logic synthesis and verification have matured considerably over the past two decades. Many commercial products are available, and they have been critical in harnessing advances in fabrication technology to produce today's plethora of electronic components. While this maturity is assuring, the advances in fabrication continue to seemingly present unwieldy challenges. Logic Synthesis and Verification provides a state-of-the-art view of logic synthesis and verification. It consists of fifteen chapters, each focusing on a distinct aspect. Each chapter presents key developments, outlines future challenges, and lists essential references. Two unique features of this book are technical strength and comprehensiveness. The book chapters are written by twenty-eight recognized leaders in the field and reviewed by equally qualified experts. The topics collectively span the field. Logic Synthesis and Verification fills a current gap in the existing CAD literature. Each chapter contains essential information to study a topic at a great depth, and to understand further developments in the field. The book is intended for seniors, graduate students, researchers, and developers of related Computer-Aided Design (CAD) tools. From the foreword: "The commercial success of logic synthesis and verification is due in large part to the ideas of many of the authors of this book. Their innovative work contributed to design automation tools that permanently changed the course of electronic design." by Aart J. de Geus, Chairman and CEO, Synopsys, Inc.
Book Synopsis Representations of Discrete Functions by : Tsutomu Sasao
Download or read book Representations of Discrete Functions written by Tsutomu Sasao and published by Springer Science & Business Media. This book was released on 1996-04-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Dirk Beyer
Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Dirk Beyer and published by Springer. This book was released on 2018-04-11 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Open Access under a CC BY licence. The LNCS 10805 and 10806 proceedings set constitutes the proceedings of the 24th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2018, which took place in Thessaloniki, Greece, in April 2018, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2018. The total of 43 full and 11 short papers presented in these volumes was carefully reviewed and selected from 154submissions. The papers are organized in topical sections as follows: Part I: theorem proving; SAT and SMT I; deductive verification; software verification and optimization; model checking; and machine learning. Part II: concurrent and distributed systems; SAT and SMT II; security and reactive systems; static and dynamic program analysis; hybrid and stochastic systems; temporal logic and mu-calculus; 7th Competition on Software Verification – SV-COMP.
Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Tomáš Vojnar
Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Tomáš Vojnar and published by Springer. This book was released on 2019-04-03 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Open Access under a CC BY licence. The LNCS 11427 and 11428 proceedings set constitutes the proceedings of the 25th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019. The total of 42 full and 8 short tool demo papers presented in these volumes was carefully reviewed and selected from 164 submissions. The papers are organized in topical sections as follows: Part I: SAT and SMT, SAT solving and theorem proving; verification and analysis; model checking; tool demo; and machine learning. Part II: concurrent and distributed systems; monitoring and runtime verification; hybrid and stochastic systems; synthesis; symbolic verification; and safety and fault-tolerant systems.
Book Synopsis Algorithms and Data Structures in VLSI Design by : Christoph Meinel
Download or read book Algorithms and Data Structures in VLSI Design written by Christoph Meinel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main problems in chip design is the enormous number of possible combinations of individual chip elements within a system, and the problem of their compatibility. The recent application of data structures, efficient algorithms, and ordered binary decision diagrams (OBDDs) has proven vital in designing the computer chips of tomorrow. This book provides an introduction to the foundations of this interdisciplinary research area, emphasizing its applications in computer aided circuit design.
Book Synopsis Mathematical Logic for Computer Science by : Mordechai Ben-Ari
Download or read book Mathematical Logic for Computer Science written by Mordechai Ben-Ari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.
Book Synopsis Contrast Data Mining by : Guozhu Dong
Download or read book Contrast Data Mining written by Guozhu Dong and published by CRC Press. This book was released on 2016-04-19 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Fruitful Field for Researching Data Mining Methodology and for Solving Real-Life ProblemsContrast Data Mining: Concepts, Algorithms, and Applications collects recent results from this specialized area of data mining that have previously been scattered in the literature, making them more accessible to researchers and developers in data mining and
Book Synopsis Advanced BDD Optimization by : Rudiger Ebendt
Download or read book Advanced BDD Optimization written by Rudiger Ebendt and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: VLSI CADhas greatly bene?ted from the use of reduced ordered Binary Decision Diagrams (BDDs) and the clausal representation as a problem of Boolean Satis?ability (SAT), e.g. in logic synthesis, ver- cation or design-for-testability. In recent practical applications, BDDs are optimized with respect to new objective functions for design space exploration. The latest trends show a growing number of proposals to fuse the concepts of BDD and SAT. This book gives a modern presentation of the established as well as of recent concepts. Latest results in BDD optimization are given, c- ering di?erent aspects of paths in BDDs and the use of e?cient lower bounds during optimization. The presented algorithms include Branch ? and Bound and the generic A -algorithm as e?cient techniques to - plore large search spaces. ? The A -algorithm originates from Arti?cial Intelligence (AI), and the EDA community has been unaware of this concept for a long time. Re- ? cently, the A -algorithm has been introduced as a new paradigm to explore design spaces in VLSI CAD. Besides AI search techniques, the book also discusses the relation to another ?eld of activity bordered to VLSI CAD and BDD optimization: the clausal representation as a SAT problem.
Book Synopsis Decision-Making Management by : Alberto Pliego Marugan
Download or read book Decision-Making Management written by Alberto Pliego Marugan and published by Academic Press. This book was released on 2017-07-20 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision-Making Management: A Tutorial and Applications provides practical guidance for researchers seeking to optimizing business-critical decisions employing Logical Decision Trees thus saving time and money. The book focuses on decision-making and resource allocation across and between the manufacturing, product design and logistical functions. It demonstrates key results for each sector with diverse real-world case studies drawn primarily from EU projects. Theory is accompanied by relevant analysis techniques, with a progressional approach building from simple theory to complex and dynamic decisions with multiple data points, including big data and lot of data. Binary Decision Diagrams are presented as the operating approach for evaluating large Logical Decision Trees, helping readers identify Boolean equations for quantitative analysis of multifaceted problem sets. Computational techniques, dynamic analysis, probabilistic methods, and mathematical optimization techniques are expertly blended to support analysis of multi-criteria decision-making problems with defined constraints and requirements. The final objective is to optimize dynamic decisions with original approaches employing useful tools, including Big Data analysis. Extensive annexes provide useful supplementary information for readers to follow methods contained in the book. Explores the use of logical decision trees to solve business problems Uses mathematical optimization techniques to resolve ‘big data’ or other multi-criteria problems Provides annexes showcasing application in manufacturing, product design and logistics Shows case examples in telecommunications, renewable energy and aerospace Supplies introduction by Benjamin Lev, Editor-in-Chief of Omega, the highest-ranked journal in management science (JCR)
Book Synopsis Heuristics to Optimize the Variable Ordering in Binary Decision Diagrams by : Marvin Caspar
Download or read book Heuristics to Optimize the Variable Ordering in Binary Decision Diagrams written by Marvin Caspar and published by GRIN Verlag. This book was released on 2021-10-19 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2019 in the subject Computer Science - Commercial Information Technology, grade: 1,0, University of Kaiserslautern, language: English, abstract: In this paper, two fault trees are examined, for which five heuristics are applied to evaluate and compare their effectiveness. The arrangement of variables in a Binary Decision Diagram (BDD) determines the size of the BDD after applying reduction rules and thus plays a decisive role in finding a compact representation of the Boolean function. Since there are already many possible arrangements with only a few variables and techniques for finding the optimal solution requiring too much time, the use of heuristics is needed. The main focus is on known approaches and especially on the dynamic method of the sifting algorithm.
Book Synopsis Decision Procedures by : Daniel Kroening
Download or read book Decision Procedures written by Daniel Kroening and published by Springer. This book was released on 2016-11-22 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.
