The Complexity Of Boolean Functions

The Complexity of Boolean Functions PDF
Author: Ingo Wegener
Publisher: Wiley
ISBN: 9780471915553
Size: 49.45 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 470
View: 6161

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Book Description: Presents a large number of recent research results previously unavailable in book form. Initially deals with the wee-known computation models, and goes on to special types of circuits, parallel computers, and branching programs. Includes basic theory as well recent research findings. Each chapter includes exercises.

Boolean Function Complexity

Boolean Function Complexity PDF
Author: Stasys Jukna
Publisher: Springer
ISBN: 9783642431449
Size: 39.22 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 620
View: 2647

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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.

Boolean Functions And Computation Models

Boolean Functions and Computation Models PDF
Author: Peter Clote
Publisher: Springer Science & Business Media
ISBN: 3662049430
Size: 31.13 MB
Format: PDF
Category : Computers
Languages : en
Pages : 602
View: 5640

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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.

Lower Bounds On The Complexity Of Boolean Functions

Lower Bounds on the Complexity of Boolean Functions PDF
Author: Uri Zwick
Publisher:
ISBN:
Size: 23.93 MB
Format: PDF
Category :
Languages : en
Pages : 78
View: 4097

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Book Description:

On The Complexity Of Modal Logic Variants And Their Fragments

On the Complexity of Modal Logic Variants and their Fragments PDF
Author: Arne Meier
Publisher: Cuvillier Verlag
ISBN: 3736939299
Size: 29.66 MB
Format: PDF, Kindle
Category : Computers
Languages : en
Pages : 148
View: 7651

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Book Description: The automatic verification of computer programs is an important step in software engineering. In this regard temporal logics have been invented as an extension of modal logic which itself is an extension of propositional logic. Therefore, one may call them \emph{modal logic variants}. The first part of this thesis will investigate the two temporal logics CTL and CTL* with respect to their model-checking and satisfiability problem. We will analyze the complexity of fragments of these problems by means of operator and Boolean function restrictions. There we will see for the satisfiability problem, how the operator fragments form a trichotomy and the Boolean fragments form a quartering. The model-checking problem for CTL is divided into three types: monotone, atomic negation, and positive fragments. Surprisingly, we will see that these three fragments are computationally equivalent. Furthermore, several prominent extensions of CTL will be visited and classified with respect to their Boolean and operator fragments. In the second part we will concentrate on description logics which are modal logic extensions settled in the area of semantic web, databases, and artificial intelligence. These types of logics are used to express, and work on, large sets of data. Besides the usual satisfiability problems, we will work with some special kind of implication problem, which is called subsumption. We will see that these logics combine two very strong Boolean concepts, namely implication and conjunction, such that restricting large sets of Boolean functions do not reduce the complexity of the problems significantly.

Data Structures Minimization And Complexity Of Boolean Functions

Data Structures  Minimization and Complexity of Boolean Functions PDF
Author:
Publisher:
ISBN:
Size: 11.18 MB
Format: PDF, Mobi
Category :
Languages : en
Pages :
View: 4712

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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.

Introduction To Circuit Complexity

Introduction to Circuit Complexity PDF
Author: Heribert Vollmer
Publisher: Springer Science & Business Media
ISBN: 3662039273
Size: 26.26 MB
Format: PDF, ePub, Mobi
Category : Computers
Languages : en
Pages : 272
View: 1723

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Book Description: An advanced textbook giving a broad, modern view of the computational complexity theory of boolean circuits, with extensive references, for theoretical computer scientists and mathematicians.

The Complexity Of Boolean Networks

The Complexity of Boolean Networks PDF
Author: Paul E. Dunne
Publisher:
ISBN:
Size: 14.91 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 490
View: 4317

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Book Description:

Algorithmische Geometrie

Algorithmische Geometrie PDF
Author: Michael Joswig
Publisher: Springer-Verlag
ISBN: 3834894400
Size: 27.22 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : de
Pages : 266
View: 6027

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Book Description: In dem Lehrbuch wird eine mathematisch orientierte Einführung in die algorithmische Geometrie gegeben. Im ersten Teil werden „klassische“ Probleme und Techniken behandelt, die sich auf polyedrische (= linear begrenzte) Objekte beziehen. Hierzu gehören beispielsweise Algorithmen zur Berechnung konvexer Hüllen und die Konstruktion von Voronoi-Diagrammen. Im zweiten Teil werden grundlegende Methoden der algorithmischen algebraischen Geometrie entwickelt und anhand von Anwendungen aus Computergrafik, Kurvenrekonstruktion und Robotik illustriert. Das Buch eignet sich für ein fortgeschrittenes Modul in den derzeit neu konzipierten Bachelor-Studiengängen in Mathematik und Informatik.