Boolean Function Complexity

Boolean Function Complexity PDF
Author: Stasys Jukna
Publisher: Springer
ISBN: 9783642431449
Size: 17.64 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 620
View: 599

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Book Description: Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.

The Complexity Of Boolean Functions

The Complexity of Boolean Functions PDF
Author: Ingo Wegener
Publisher:
ISBN:
Size: 75.17 MB
Format: PDF
Category : Algebra, Boolean
Languages : en
Pages : 457
View: 2880

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Book Description:

Lower Bounds On The Complexity Of Boolean Functions

Lower Bounds on the Complexity of Boolean Functions PDF
Author: Uri Zwick
Publisher:
ISBN:
Size: 73.90 MB
Format: PDF, Kindle
Category :
Languages : en
Pages : 78
View: 1973

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Book Description:

Complexity Of Boolean Functions

Complexity of Boolean functions PDF
Author:
Publisher:
ISBN:
Size: 50.83 MB
Format: PDF, ePub, Mobi
Category :
Languages : de
Pages : 26
View: 1361

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Book Description:

The Complexity Of Boolean Functions From Cryptographic Viewpoint

The Complexity of Boolean Functions from Cryptographic Viewpoint PDF
Author:
Publisher:
ISBN:
Size: 78.44 MB
Format: PDF, Mobi
Category :
Languages : en
Pages :
View: 6212

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Book Description:

Gate Complexity Of Boolean Functions

Gate Complexity of Boolean Functions PDF
Author: Karin Sommer
Publisher:
ISBN:
Size: 44.36 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 180
View: 7711

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Book Description:

Data Structures Minimization And Complexity Of Boolean Functions

Data Structures  Minimization and Complexity of Boolean Functions PDF
Author:
Publisher:
ISBN:
Size: 76.64 MB
Format: PDF, Docs
Category :
Languages : en
Pages :
View: 7287

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Book Description: Boolean function manipulation is an important component of computer science. This thesis presents results related to Boolean function representation and minimization. The Boolean function minimization problem is re-defined. A new Boolean function classification theory based on permutation and extension is developed. More efficient Boolean function minimization algorithms can be derived based on the classification theory. The thesis also examines the complexity issues and graph structure of OBDDs of some special Boolean functions. Moreover, some new data structures for Boolean functions are reported in this thesis. Some functions are found to have constant complexity in the new data structure while having exponential complexity in existing data structures.

Information Theory And The Complexity Of Boolean Functions

Information Theory and the Complexity of Boolean Functions PDF
Author: International Business Machines Corporation. Research Division
Publisher:
ISBN:
Size: 28.81 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages : 71
View: 2702

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Book Description:

Boolean Functions And Computation Models

Boolean Functions and Computation Models PDF
Author: Peter Clote
Publisher: Springer Science & Business Media
ISBN: 3662049430
Size: 11.79 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 602
View: 1342

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Book Description: The two internationally renowned authors elucidate the structure of "fast" parallel computation. Its complexity is emphasised through a variety of techniques ranging from finite combinatorics, probability theory and finite group theory to finite model theory and proof theory. Non-uniform computation models are studied in the form of Boolean circuits; uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems. Providing a survey of research in the field, the book will benefit advanced undergraduates and graduate students as well as researchers.

The Complexity Of Boolean Networks

The Complexity of Boolean Networks PDF
Author: Paul E. Dunne
Publisher:
ISBN:
Size: 43.15 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 490
View: 1529

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Book Description:

Algorithmen Und Datenstrukturen Im Vlsi Design

Algorithmen und Datenstrukturen im VLSI Design PDF
Author: Christoph Meinel
Publisher: Springer-Verlag
ISBN: 3642587739
Size: 80.65 MB
Format: PDF, Kindle
Category : Computers
Languages : de
Pages : 286
View: 2404

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Book Description: Eines der Hauptprobleme beim Chipentwurf besteht darin, daß die Anzahl der zu bewältigenden Kombinationen der einzelnen Chipbausteine ins Unermeßliche steigt. Hier hat sich eine sehr fruchtbare Verbindung zu einem Kerngebiet der Theoretischen Informatik, dem Gebiet des Entwurfs von Datenstrukturen und effizienten Algorithmen, herstellen lassen: das Konzept der geordneten binären Entscheidungsgraphen, das in zahlreichen CAD-Projekten zu einer beträchtlichen Leistungssteigerung geführt hat. Die Autoren stellen die Grundlagen dieses interdisziplinären Forschungsgebiets dar und behandeln wichtige Anwendungen aus dem rechnergestützten Schaltkreisentwurf.

Complexity Of Boolean Functions

Complexity of Boolean Functions PDF
Author:
Publisher:
ISBN:
Size: 56.15 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages :
View: 5164

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Book Description:

Complexity Of Boolean Functions

Complexity of Boolean Functions PDF
Author:
Publisher:
ISBN:
Size: 64.94 MB
Format: PDF, ePub
Category :
Languages : en
Pages :
View: 4474

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Book Description:

A 2 75n Lower Bound On The Network Complexity Of Boolean Functions

A 2 75n lower bound on the network complexity of Boolean functions PDF
Author: Norbert Blum
Publisher:
ISBN:
Size: 66.19 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 32
View: 7652

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Book Description:

The Horn Complexity Of Boolean Functions And Cook S Problem

The Horn complexity of Boolean functions and Cook s problem PDF
Author: Stal O. Aanderaa
Publisher:
ISBN:
Size: 79.20 MB
Format: PDF, ePub, Docs
Category :
Languages : de
Pages : 52
View: 320

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Book Description:

Harmonic Analysis Real Approximation And The Communication Complexity Of Boolean Functions

Harmonic Analysis  Real Approximation  and the Communication Complexity of Boolean Functions PDF
Author: Vince Grolmusz
Publisher:
ISBN:
Size: 33.95 MB
Format: PDF, ePub, Mobi
Category : Computer network protocols
Languages : en
Pages : 30
View: 3854

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Book Description: This result, along with our upper bounds, shows that for almost all Boolean function no real approximating function of small L1 norm can be found, or: almost all Boolean function has exponential L1 norm, or: for almost all Boolean function the distribution of the Fourier-coefficients is "even": they cannot be divided into two classes: one with small L1, the other with small L2 norms. Our results suggest that in the multi-party communication theory, instead of the well-studied degree of a polynomial representation of a Boolean function, its L1 norm can be an important measure of complexity."

Complexity Of Boolean Functions

Complexity of Boolean Functions PDF
Author: David Mix Barrington
Publisher:
ISBN:
Size: 39.96 MB
Format: PDF
Category :
Languages : en
Pages : 24
View: 742

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Book Description:

Boolean Function Complexity

Boolean Function Complexity PDF
Author: Stasys Jukna
Publisher: Springer Science & Business Media
ISBN: 3642245080
Size: 45.35 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 620
View: 206

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Book Description: Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.

On The Multiplicative Complexity Of Boolean Functions Over The Basis And Xor 1

On the Multiplicative Complexity of Boolean Functions Over the Basis   AND  XOR   1  PDF
Author: Denis Pochuev
Publisher:
ISBN:
Size: 79.80 MB
Format: PDF, ePub
Category : Algebra, Boolean
Languages : en
Pages : 42
View: 4668

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Book Description:

Data Structures Minimization And Complexity Of Boolean Functions

Data Structures  Minimization and Complexity of Boolean Functions PDF
Author:
Publisher:
ISBN:
Size: 14.21 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages :
View: 2571

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Book Description: Boolean function manipulation is an important component of computer science. This thesis presents results related to Boolean function representation and minimization. The Boolean function minimization problem is re-defined. A new Boolean function classification theory based on permutation and extension is developed. More efficient Boolean function minimization algorithms can be derived based on the classification theory. The thesis also examines the complexity issues and graph structure of OBDDs of some special Boolean functions. Moreover, some new data structures for Boolean functions are reported in this thesis. Some functions are found to have constant complexity in the new data structure while having exponential complexity in existing data structures.