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Author: Stasys Jukna Publisher: Springer Science & Business Media ISBN: 3642245080 Category : Mathematics Languages : en Pages : 620
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.
Author: Stasys Jukna Publisher: Springer Science & Business Media ISBN: 3642245080 Category : Mathematics Languages : en Pages : 620
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.
Author: Michael S. Paterson Publisher: Cambridge University Press ISBN: 0521408261 Category : Computers Languages : en Pages : 216
Book Description
Here Professor Paterson brings together papers from the 1990 Durham symposium on Boolean function complexity. The participants include many well known figures in the field.
Author: Ryan O'Donnell Publisher: Cambridge University Press ISBN: 1107038324 Category : Computers Languages : en Pages : 445
Book Description
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.
Author: Stasys Jukna Publisher: Foundations and Trends(r) in T ISBN: 9781601987266 Category : Computers Languages : en Pages : 138
Book Description
Complexity of Linear Boolean Operators is the first thorough survey of the research in this area. The book is intended for students and researchers in discrete mathematics and theoretical computer science.
Author: Heribert Vollmer Publisher: Springer Science & Business Media ISBN: 3662039273 Category : Computers Languages : en Pages : 277
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.
Author: Yves Crama Publisher: Cambridge University Press ISBN: 1139498630 Category : Mathematics Languages : en Pages : 711
Book Description
Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.
Author: Peter Clote Publisher: Springer Science & Business Media ISBN: 3662049430 Category : Computers Languages : en Pages : 612
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.
Author: Stasys Jukna
Author: Stasys Jukna
Author: Ingo Wegener
Author: Michael S. Paterson
Author: Ryan O'Donnell
Author: Paul E. Dunne
Author: Nadia Creignou
Author: Stasys Jukna
Author: Heribert Vollmer
Author: Yves Crama
Author: Peter Clote