Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams (BDDs)

Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams (BDDs) PDF Author: Rüdiger Ebendt
Publisher:
ISBN: 9783937729022
Category :
Languages : en
Pages : 147

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Book Description
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.

Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams (BDDs)

Heuristic and Exact Optimization of Reduced Ordered Binary Decision Diagrams (BDDs) PDF Author: Rüdiger Ebendt
Publisher:
ISBN: 9783937729022
Category :
Languages : en
Pages : 147

Get Book Here

Book Description
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.

Heuristics to Optimize the Variable Ordering in Binary Decision Diagrams

Heuristics to Optimize the Variable Ordering in Binary Decision Diagrams PDF Author: Marvin Caspar
Publisher: GRIN Verlag
ISBN: 3346517241
Category : Computers
Languages : en
Pages : 26

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Book Description
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.

Advanced BDD Optimization

Advanced BDD Optimization PDF Author: Rudiger Ebendt
Publisher: Springer Science & Business Media
ISBN: 0387254544
Category : Technology & Engineering
Languages : en
Pages : 225

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Book Description
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.

Binary Decision Diagrams

Binary Decision Diagrams PDF Author: Rolf Drechsler
Publisher: Springer Science & Business Media
ISBN: 1475728921
Category : Technology & Engineering
Languages : en
Pages : 205

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Book Description
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.

Decision Diagrams for Optimization

Decision Diagrams for Optimization PDF Author: David Bergman
Publisher: Springer
ISBN: 3319428497
Category : Computers
Languages : en
Pages : 262

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Book Description
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]

Binary Decision Diagrams and Applications for VLSI CAD

Binary Decision Diagrams and Applications for VLSI CAD PDF Author: Shin-ichi Minato
Publisher: Springer Science & Business Media
ISBN: 1461313031
Category : Technology & Engineering
Languages : en
Pages : 151

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Book Description
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.

Symbolic Bidirectional Breadth-first Heuristic Search

Symbolic Bidirectional Breadth-first Heuristic Search PDF Author: Simon Kim Richards
Publisher:
ISBN:
Category : Decision logic tables
Languages : en
Pages :

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Book Description
A Reduced Ordered Binary Decision Diagram (BDD) is a symbolic data structure introduced to the model checking community by Bryant in 1986 to help verify properties of systems with very large state spaces. Recently, BDDs have been used in heuristic search algorithms as an approach to representing and solving search problems with very large state spaces. However, these algorithms are still not memory efficient. This thesis presents a symbolic heuristic search algorithm that uses BDDs in a memory efficient way by performing bidirectional breadth-first heuristic search. The approach is evaluated empirically against existing symbolic methods and is shown to provide a significant improvement in performance.

VLSI-SoC: From Systems to Silicon

VLSI-SoC: From Systems to Silicon PDF Author: Ricardo Reis
Publisher: Springer
ISBN: 0387736611
Category : Technology & Engineering
Languages : en
Pages : 342

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Book Description
This book contains extended and revised versions of the best papers that were presented during the thirteenth edition of the IFIP TC 10 International Conference on Very Large Scale Integration, a Global System-on-Chip Design and CAD conference. This conference provides a forum to exchange ideas and show industrial and academic research results in the field of microelectronics design.

Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems

Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems PDF Author: Nicolas Beldiceanu
Publisher: Springer
ISBN: 3642298281
Category : Computers
Languages : en
Pages : 420

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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2012, held in Nantes, France, in May/June 2012. The 26 revised full papers presented were carefully reviewed and selected from 64 submissions. The papers are focused on both theoretical and practical, application-oriented issues in combinatorial optimization and feature current research with a special focus on inference and relaxation methods, integration methods, modeling methods, innovative applications of CP/AI/OR techniques, and implementation of CP/AI/OR techniques and optimization systems.

Symbolic Bidirectional Breadth-First Search

Symbolic Bidirectional Breadth-First Search PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
A Reduced Ordered Binary Decision Diagram (BDD) is a symbolic data structure introduced to the model checking community by Bryant in 1986 to help verify properties of systems with very large state spaces. Recently, BDDs have been used in heuristic search algorithms as an approach to representing and solving search problems with very large state spaces. However, these algorithms are still not memory efficient. This thesis presents a symbolic heuristic search algorithm that uses BDDs in a memory efficient way by performing bidirectional breadth-first heuristic search. The approach is evaluated empirically against existing symbolic methods and is shown to provide a significant improvement in performance.