Logic Automata And Computational Complexity

Author : Sanjeev Arora
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.64/5 ( download)

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Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.03/5 ( download)

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Download or read book Logic, Automata, and Computational Complexity written by Bruce M. Kapron and published by Morgan & Claypool. This book was released on 2023-05-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Elaine Rich
Publisher : Prentice Hall
ISBN 13 : 0132288060
Total Pages : 1120 pages
Book Rating : 4.64/5 ( download)

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Download or read book Automata, Computability and Complexity written by Elaine Rich and published by Prentice Hall. This book was released on 2008 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: For upper level courses on Automata. Combining classic theory with unique applications, this crisp narrative is supported by abundant examples and clarifies key concepts by introducing important uses of techniques in real systems. Broad-ranging coverage allows instructors to easily customise course material to fit their unique requirements.

Author : C. Calude
Publisher : Elsevier
ISBN 13 : 9780080867755
Total Pages : 486 pages
Book Rating : 4.58/5 ( download)

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Download or read book Theories of Computational Complexity written by C. Calude and published by Elsevier. This book was released on 2011-08-18 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Daniel Leivant
Publisher : Springer
ISBN 13 : 9783540601784
Total Pages : 520 pages
Book Rating : 4.83/5 ( download)

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Download or read book Logic and Computational Complexity written by Daniel Leivant and published by Springer. This book was released on 1995-08-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Egon Börger
Publisher : Springer Science & Business Media
ISBN 13 : 9783540181705
Total Pages : 456 pages
Book Rating : 4.09/5 ( download)

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Download or read book Computation Theory and Logic written by Egon Börger and published by Springer Science & Business Media. This book was released on 1987-07-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Memory of Dieter Rötting. 24.8.1937 - 4.6.1984. On the Occasion of the 50th Anniversary of His Birth

Author : D. Gnanaraj Thomas
Publisher :
ISBN 13 : 9788184876499
Total Pages : 250 pages
Book Rating : 4.91/5 ( download)

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Download or read book Automata, Graphs and Logic written by D. Gnanaraj Thomas and published by . This book was released on 2019-10-23 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 D. Davis
Publisher : Academic Press
ISBN 13 : 1483264580
Total Pages : 448 pages
Book Rating : 4.85/5 ( download)

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Download or read book Computability, Complexity, and Languages written by Martin D. Davis and published by Academic Press. This book was released on 2014-05-10 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability, Complexity, and Languages: Fundamentals of Theoretical Computer Science provides an introduction to the various aspects of theoretical computer science. Theoretical computer science is the mathematical study of models of computation. This text is composed of five parts encompassing 17 chapters, and begins with an introduction to the use of proofs in mathematics and the development of computability theory in the context of an extremely simple abstract programming language. The succeeding parts demonstrate the performance of abstract programming language using a macro expansion technique, along with presentations of the regular and context-free languages. Other parts deal with the aspects of logic that are important for computer science and the important theory of computational complexity, as well as the theory of NP-completeness. The closing part introduces the advanced recursion and polynomial-time computability theories, including the priority constructions for recursively enumerable Turing degrees. This book is intended primarily for undergraduate and graduate mathematics students.

Author : Christos H. Papadimitriou
Publisher : Pearson
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.89/5 ( download)

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Download or read book Computational Complexity written by Christos H. Papadimitriou and published by Pearson. This book was released on 1994 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Carlo A. Furia
Publisher : Springer Science & Business Media
ISBN 13 : 3642323324
Total Pages : 430 pages
Book Rating : 4.24/5 ( download)

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Download or read book Modeling Time in Computing written by Carlo A. Furia and published by Springer Science & Business Media. This book was released on 2012-10-19 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.