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Author : Heribert Vollmer
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 45,7 Mb
Release : 2013-04-17
Category : Computers
ISBN : 9783662039274
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 : Peter Clote,Evangelos Kranakis
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 52,8 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662049433
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 : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 46,9 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780521424264
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Author : Johannes A. Buchmann
Publisher : American Mathematical Society
Page : 391 pages
File Size : 42,9 Mb
Release : 2024-03-18
Category : Mathematics
ISBN : 9781470473983
Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a major threat to today's cybersecurity and at the same time promise great benefits by potentially solving previously intractable computational problems with reasonable effort. The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. Introduction to Quantum Algorithms offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for one- or two-semester introductory courses on quantum computing algorithms. Instructors can tailor their approach to emphasize theoretical understanding and proofs or practical applications of quantum algorithms, depending on the course's goals and timeframe.
Author : Daniel Pierre Bovet,Pierluigi Crescenzi
Publisher : Prentice Hall PTR
Page : 304 pages
File Size : 42,8 Mb
Release : 1994
Category : Computers
ISBN : UCSC:32106010406533
Using a balanced approach that is partly algorithmic and partly structuralist, this book systematically reviews the most significant results obtained in the study of computational complexity theory. Features over 120 worked examples, over 200 problems, and 400 figures.
Author : Stasys Jukna
Publisher : Springer Science & Business Media
Page : 618 pages
File Size : 55,7 Mb
Release : 2012-01-06
Category : Mathematics
ISBN : 9783642245084
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 : Ian Parberry
Publisher : MIT Press
Page : 312 pages
File Size : 44,5 Mb
Release : 1994
Category : Computers
ISBN : 0262161486
Neural networks usually work adequately on small problems but can run into trouble when they are scaled up to problems involving large amounts of input data. Circuit Complexity and Neural Networks addresses the important question of how well neural networks scale - that is, how fast the computation time and number of neurons grow as the problem size increases. It surveys recent research in circuit complexity (a robust branch of theoretical computer science) and applies this work to a theoretical understanding of the problem of scalability. Most research in neural networks focuses on learning, yet it is important to understand the physical limitations of the network before the resources needed to solve a certain problem can be calculated. One of the aims of this book is to compare the complexity of neural networks and the complexity of conventional computers, looking at the computational ability and resources (neurons and time) that are a necessary part of the foundations of neural network learning. Circuit Complexity and Neural Networks contains a significant amount of background material on conventional complexity theory that will enable neural network scientists to learn about how complexity theory applies to their discipline, and allow complexity theorists to see how their discipline applies to neural networks.
Author : Bruno Durand
Publisher : Springer Science & Business Media
Page : 730 pages
File Size : 53,7 Mb
Release : 2006-02-14
Category : Computers
ISBN : 9783540323013
This book constitutes the refereed proceedings of the 23rd Annual Symposium on Theoretical Aspects of Computer Science, held in February 2006. The 54 revised full papers presented together with three invited papers were carefully reviewed and selected from 283 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, and logic in computer science.
Author : Paul W. Beame,Samuel R. Buss
Publisher : American Mathematical Soc.
Page : 340 pages
File Size : 44,7 Mb
Release : 2024-06-26
Category : Mathematics
ISBN : 0821870823
Questions of mathematical proof and logical inference have been a significant thread in modern mathematics and have played a formative role in the development of computer science and artificial intelligence. Research in proof complexity and feasible theories of arithmetic aims at understanding not only whether or not logical inferences can be made but also what resources are required to carry them out. Understanding the resources required for logical inferences has major implications for some of the most important problems in computational complexity, particularly the problem of whether or not NP is equal to co-NP. In addition, these have important implications for the efficiency of automated reasoning systems. The last dozen years have seen several breakthroughs in the study of these resource requirement. Papers in this volume represent the proceedings of the DIMACS workshop on "Feasible Arithmetics and Proof Complexity" held in April 1996 in Rutgers, NJ, as part of the DIMACS Institute's Special Year on Logic and Algorithms. This book brings together some of the most recent work of leading researchers in proof complexity and feasible arithmetic reflecting many of these advances. It covers a number of aspects of the field including lower bounds in proof complexity, witnessing theorems and proof systems for feasible arithmetic, algebraic and combinatorial proof systems, interpolation theorems, and the relationship between proof complexity and Boolean circuit complexity.
Author : Ingo Wegener
Publisher : Unknown
Page : 502 pages
File Size : 42,6 Mb
Release : 1987
Category : Algebra, Boolean
ISBN : STANFORD:36105032371630
Author : Aart Middeldorp
Publisher : Springer
Page : 368 pages
File Size : 43,6 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540451273
This book constitutes the refereed proceedings of the 12th International Conference on Rewriting Techniques and Applications, RTA 2001, held in Utrecht, The Netherlands, in May 2001. The 23 revised full papers presented together with two system descriptions were carefully reviewed and selected from 55 submissions. All current aspects of rewriting are addressed.
Author : Adrian-Horia Dediu,Jan Janoušek,Carlos Martín-Vide,Bianca Truthe
Publisher : Springer
Page : 618 pages
File Size : 41,9 Mb
Release : 2016-02-29
Category : Computers
ISBN : 9783319300009
This book constitutes the refereed proceedings of the 10th International Conference on Language and Automata Theory and Applications, LATA 2016, held in Prague, Czech Republic, in March 2016. The 42 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 119 submissions. The papers cover the following topics: algebraic language theory; algorithms for semi-structured data mining, algorithms on automata and words; automata and logic; automata for system analysis and program verification; automata networks, concurrency and Petri nets; automatic structures; cellular automata, codes, combinatorics on words; computational complexity; data and image compression; descriptional complexity; digital libraries and document engineering; foundations of finite state technology; foundations of XML; fuzzy and rough languages; grammatical inference and algorithmic learning; graphs and graph transformation; language varieties and semigroups; parallel and regulated rewriting; parsing; patterns; string and combinatorial issues in computational biology and bioinformatics; string processing algorithms; symbolic dynamics; term rewriting; transducers; trees, tree languages and tree automata; weighted automata.
Author : Chaochen Zhou,Michael R. Hansen
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 52,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662067840
A comprehensive introduction to interval logic and duration calculus for modelling, analysing and verifying real-time systems. The Duration Calculus (DC) represents a logical approach to formal design of real-time systems. In DC real numbers are used to model time and Boolean-valued (i.e. {0,1}-valued) functions over time to model states of real-time systems. The duration of a state in a time interval is the accumulated presence time of the state in the interval. DC extends interval logic to a calculus to specify and reason about properties of state durations. The text covers theory (completeness, decidability, undecidability, model-checking), results, as well as case studies (Deadline Driven Scheduler).
Author : Eugene Fink,Derick Wood
Publisher : Springer Science & Business Media
Page : 102 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642188497
Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to that of standard convexity.
Author : Martin Große-Rhode
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 46,9 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662098530
The first book to integrate various model-based software specification approaches. The integration approach is based on a common semantic domain of abstract systems, their composition and development. Its applicability is shown through semantic interpretations and compositional comparisons of different specification approaches. These range from formal specification techniques like process calculi, Petri nets and rule-based formalisms to semiformal software modeling languages like those in the UML family.
