Optimization Of Binary Decision Diagrams
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| Author | : David Bergman |
| Publisher | : Springer |
| Total Pages | : 262 |
| Release | : 2016-11-01 |
| Genre | : Computers |
| ISBN | : 3319428497 |
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]
| Author | : Marvin Caspar |
| Publisher | : GRIN Verlag |
| Total Pages | : 26 |
| Release | : 2021-10-19 |
| Genre | : Computers |
| ISBN | : 3346517241 |
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.
| Author | : Rüdiger Ebendt |
| Publisher | : |
| Total Pages | : 147 |
| Release | : 2004 |
| Genre | : |
| ISBN | : 9783937729022 |
Computer-Aided Design of Very Large Scale Integrated Circuits (VLSI CAD) has greatly benefited from the use of reduced ordered Binary Decision Diagrams (BDDs), e.g. in logic synthesis, verification or design-for-testability. In recent methods, BDDs are optimized with respect to new objective functions, exploring the respective design spaces. Today, design space exploration and multi-objective design goals are important for many applications. New algorithms for BDD optimization have to be considered. This book is dedicated to the idea of moving towards new optimization goals and design spaces different from those considered so far. The book closes the gap between theory and practice by transferring the latest theoretical insights into recent practical applications. In this, a solid, thorough analysis of the theory is presented, which is completed by experimental studies. The basic concepts have been known and understood for a short time, and they will have wide impact on further developments in the field. As logic synthesis, verification and design-for-testability are "standard" topics in graduate courses, the book also can be used as a text book for advanced courses in this field.
| Author | : Kwang Teng Tan |
| Publisher | : |
| Total Pages | : 160 |
| Release | : 1990 |
| Genre | : |
| ISBN | : |
| Author | : Ingo Wegener |
| Publisher | : SIAM |
| Total Pages | : 418 |
| Release | : 2000-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719789 |
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.
| Author | : Rudiger Ebendt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 225 |
| Release | : 2005-12-05 |
| Genre | : Technology & Engineering |
| ISBN | : 0387254544 |
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.
| Author | : Tsutomu Sasao |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461531543 |
Logic Synthesis and Optimization presents up-to-date research information in a pedagogical form. The authors are recognized as the leading experts on the subject. The focus of the book is on logic minimization and includes such topics as two-level minimization, multi-level minimization, application of binary decision diagrams, delay optimization, asynchronous circuits, spectral method for logic design, field programmable gate array (FPGA) design, EXOR logic synthesis and technology mapping. Examples and illustrations are included so that each contribution can be read independently. Logic Synthesis and Optimization is an indispensable reference for academic researchers as well as professional CAD engineers.
| Author | : Shin-ichi Minato |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 151 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461313031 |
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.
| Author | : Tomáš Vojnar |
| Publisher | : Springer |
| Total Pages | : 413 |
| Release | : 2019-04-03 |
| Genre | : Computers |
| ISBN | : 3030174654 |
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.
| Author | : Karl S. Brace |
| Publisher | : |
| Total Pages | : 142 |
| Release | : 1992 |
| Genre | : Computer-aided design |
| ISBN | : |
Furthermore, the novel techniques presented here for controlling OBDD size will likely generalize to other applications as well."
