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Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 48,7 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 : Bruce M. Kapron
Publisher : Morgan & Claypool
Page : 424 pages
File Size : 49,6 Mb
Release : 2023-05-22
Category : Computers
ISBN : 9798400707803
Professor Stephen A. Cook is a pioneer of the theory of computational complexity. His work on NP-completeness and the P vs. NP problem remains a central focus of this field. Cook won the 1982 Turing Award for “his advancement of our understanding of the complexity of computation in a significant and profound way.” This volume includes a selection of seminal papers embodying the work that led to this award, exemplifying Cook’s synthesis of ideas and techniques from logic and the theory of computation including NP-completeness, proof complexity, bounded arithmetic, and parallel and space-bounded computation. These papers are accompanied by contributed articles by leading researchers in these areas, which convey to a general reader the importance of Cook’s ideas and their enduring impact on the research community. The book also contains biographical material, Cook’s Turing Award lecture, and an interview. Together these provide a portrait of Cook as a recognized leader and innovator in mathematics and computer science, as well as a gentle mentor and colleague.
Author : C. Calude
Publisher : Elsevier
Page : 486 pages
File Size : 53,8 Mb
Release : 2011-08-18
Category : Mathematics
ISBN : 0080867758
This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before. In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.
Author : Howard Straubing
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461202899
The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.
Author : Egon Börger
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 47,8 Mb
Release : 1987-07-29
Category : Computers
ISBN : 3540181709
In Memory of Dieter Rötting. 24.8.1937 - 4.6.1984. On the Occasion of the 50th Anniversary of His Birth
Author : Prof Martin Davis,Ron Sigal,Elaine J Weyuker
Publisher : Morgan Kaufmann Publishers
Page : 609 pages
File Size : 42,7 Mb
Release : 1994-02-17
Category : Computers
ISBN : 1493300342
This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. * Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. * The number of exercises included has more than tripled. * Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.
Author : Arto Salomaa
Publisher : Cambridge University Press
Page : 304 pages
File Size : 40,9 Mb
Release : 1985-05-23
Category : Computers
ISBN : 0521302455
In this book, which was originally published in 1985, Arto Salomaa gives an introduction to certain mathematical topics central to theoretical computer science: computability and recursive functions, formal languages and automata, computational complexity and cryptography.
Author : D. Gnanaraj Thomas,Robinson Thamburaj
Publisher : Unknown
Page : 250 pages
File Size : 53,5 Mb
Release : 2019-10-23
Category : Electronic
ISBN : 8184876491
Automata, graphs, and logic are three key areas of current research in theoretical computer science and discrete mathematics. This book addresses important issues like automata and verification, automata and computational complexity, connections among automata, logic and graphs, applications of logic in software testing and certain interesting results on these topics. Exhibiting interconnections among these topics are of great benefit to the students, teachers and research community.
Author : Martin Davis,Ron Sigal,Elaine J. Weyuker
Publisher : Academic Press
Page : 631 pages
File Size : 52,5 Mb
Release : 1994-02-03
Category : Computers
ISBN : 9780122063824
This introductory text covers the key areas of computer science, including recursive function theory, formal languages, and automata. Additions to the second edition include: extended exercise sets, which vary in difficulty; expanded section on recursion theory; new chapters on program verification and logic programming; updated references and examples throughout.
Author : Carlo A. Furia,Dino Mandrioli,Angelo Morzenti,Matteo Rossi
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 49,7 Mb
Release : 2012-10-19
Category : Computers
ISBN : 9783642323324
Models that include a notion of time are ubiquitous in disciplines such as the natural sciences, engineering, philosophy, and linguistics, but in computing the abstractions provided by the traditional models are problematic and the discipline has spawned many novel models. This book is a systematic thorough presentation of the results of several decades of research on developing, analyzing, and applying time models to computing and engineering. After an opening motivation introducing the topics, structure and goals, the authors introduce the notions of formalism and model in general terms along with some of their fundamental classification criteria. In doing so they present the fundamentals of propositional and predicate logic, and essential issues that arise when modeling time across all types of system. Part I is a summary of the models that are traditional in engineering and the natural sciences, including fundamental computer science: dynamical systems and control theory; hardware design; and software algorithmic and complexity analysis. Part II covers advanced and specialized formalisms dealing with time modeling in heterogeneous software-intensive systems: formalisms that share finite state machines as common “ancestors”; Petri nets in many variants; notations based on mathematical logic, such as temporal logic; process algebras; and “dual-language approaches” combining two notations with different characteristics to model and verify complex systems, e.g., model-checking frameworks. Finally, the book concludes with summarizing remarks and hints towards future developments and open challenges. The presentation uses a rigorous, yet not overly technical, style, appropriate for readers with heterogeneous backgrounds, and each chapter is supplemented with detailed bibliographic remarks and carefully chosen exercises of varying difficulty and scope. The book is aimed at graduate students and researchers in computer science, while researchers and practitioners in other scientific and engineering disciplines interested in time modeling with a computational flavor will also find the book of value, and the comparative and conceptual approach makes this a valuable introduction for non-experts. The authors assume a basic knowledge of calculus, probability theory, algorithms, and programming, while a more advanced knowledge of automata, formal languages, and mathematical logic is useful.
Author : F. Gecseg
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 44,8 Mb
Release : 1981-08
Category : Computers
ISBN : 3540108548
Author : Daniel Leivant
Publisher : Springer
Page : 520 pages
File Size : 41,9 Mb
Release : 1995-08-02
Category : Computers
ISBN : 3540601783
This book contains revised versions of papers invited for presentation at the International Workshop on Logic and Computational Complexity, LCC '94, held in Indianapolis, IN in October 1994. The synergy between logic and computational complexity has gained importance and vigor in recent years, cutting across many areas. The 25 revised full papers in this book contributed by internationally outstanding researchers document the state-of-the-art in this interdisciplinary field of growing interest; they are presented in sections on foundational issues, applicative and proof-theoretic complexity, complexity of proofs, computational complexity of functionals, complexity and model theory, and finite model theory.
Author : Jeffrey Shallit,Alexander Okhotin
Publisher : Springer
Page : 293 pages
File Size : 54,9 Mb
Release : 2015-06-15
Category : Computers
ISBN : 9783319192253
This book constitutes the refereed proceedings of the 17th International Conference on Descriptional Complexity of Formal Systems, DCFS 2015, held in Waterloo, ON, Canada, in June 2015. The 23 full papers presented together with 2 invited talks were carefully reviewed and selected from 29 submissions. The subject of the workshop was descriptional complexity. Roughly speaking, this field is concerned with the size of objects in various mathematical models of computation, such as finite automata, pushdown automata, and Turing machines. Descriptional complexity serves as a theoretical representation of physical realizations, such as the engineering complexity of computer software and hardware. It also models similar complexity phenomena in other areas of computer science, including unconventional computing and bioinformatics.
Author : Christos H. Papadimitriou
Publisher : Pearson
Page : 552 pages
File Size : 44,8 Mb
Release : 1994
Category : Computers
ISBN : STANFORD:36105003441289
The first unified introduction and reference for the field of computational complexity. Virtually non-existent only 25 years ago, computational complexity has expanded tremendously and now comprises a major part of the researh activity in theoretical science.
Author : Arindama Singh
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 43,7 Mb
Release : 2009-04-30
Category : Computers
ISBN : 9781848824973
The foundation of computer science is built upon the following questions: What is an algorithm? What can be computed and what cannot be computed? What does it mean for a function to be computable? How does computational power depend upon programming constructs? Which algorithms can be considered feasible? For more than 70 years, computer scientists are searching for answers to such qu- tions. Their ingenious techniques used in answering these questions form the theory of computation. Theory of computation deals with the most fundamental ideas of computer s- ence in an abstract but easily understood form. The notions and techniques employed are widely spread across various topics and are found in almost every branch of c- puter science. It has thus become more than a necessity to revisit the foundation, learn the techniques, and apply them with con?dence. Overview and Goals This book is about this solid, beautiful, and pervasive foundation of computer s- ence. It introduces the fundamental notions, models, techniques, and results that form the basic paradigms of computing. It gives an introduction to the concepts and mathematics that computer scientists of our day use to model, to argue about, and to predict the behavior of algorithms and computation. The topics chosen here have shown remarkable persistence over the years and are very much in current use.