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Book Structural Complexity I

    Book Details:
  • Author : Jose L. Balcazar
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 3642970621
  • Pages : 201 pages

Download or read book Structural Complexity I written by Jose L. Balcazar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the achievement of a fonnal definition of the concept of "algorithm", the Mathematical Theory of Computation has developed into a broad and rich discipline. The notion of "complexity of an algorithm" yields an important area of research, known as Complexity Theory, that can be approached from several points of view. Some of these are briefly discussed in the Introduction and, in particular, our view of the "Structural" approach is outlined there. We feel the subject is mature enough to permit collecting and interrelating many of the results in book fonn. Let us point out that a substantial part of the knowledge in Structural Complexity Theory can be found only in specialized journals, symposia proceedings, and monographs like doctoral dissertations or similar texts, mostly unpublished. We believe that a task to be done soon is a systematization of the interconnections between all the research lines; this is a serious and long task. We hope that the two volumes of this book can serve as a starting point for this systematization process.

Book Structure in Complexity Theory

Download or read book Structure in Complexity Theory written by Alan L. Selman and published by . This book was released on 2014-01-15 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Computational Complexity

    Book Details:
  • Author : Sanjeev Arora
  • Publisher : Cambridge University Press
  • Release : 2009-04-20
  • ISBN : 0521424267
  • Pages : 609 pages

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.

Book Completeness and Reduction in Algebraic Complexity Theory

Download or read book Completeness and Reduction in Algebraic Complexity Theory written by Peter Bürgisser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thorough and comprehensive treatment of the theory of NP-completeness in the framework of algebraic complexity theory. Coverage includes Valiant's algebraic theory of NP-completeness; interrelations with the classical theory as well as the Blum-Shub-Smale model of computation, questions of structural complexity; fast evaluation of representations of general linear groups; and complexity of immanants.

Book Complexity Theory and the Social Sciences

Download or read book Complexity Theory and the Social Sciences written by David Byrne and published by Routledge. This book was released on 2002-01-04 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and complexity are the new buzz words in both science and contemporary society. The ideas they represent have enormous implications for the way we understand and engage with the world. Complexity Theory and the Social Sciences introduces students to the central ideas which surround the chaos/complexity theories. It discusses key concepts before using them as a way of investigating the nature of social research. By applying them to such familiar topics as urban studies, education and health, David Byrne allows readers new to the subject to appreciate the contribution which complexity theory can make to social research and to illuminating the crucial social issues of our day.

Book Structure in Complexity Theory

Download or read book Structure in Complexity Theory written by A. L. Selman and published by . This book was released on 1993 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Computational Complexity Theory

Download or read book Computational Complexity Theory written by Juris Hartmanis and published by American Mathematical Soc.. This book was released on 1989 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational complexity theory is the study of the quantitative laws that govern computing. This book contains the proceedings of the AMS Short Course on Computational Complexity Theory, held at the Joint Mathematics Meetings in Atlanta in January 1988.

Book Structure in Complexity Theory

Download or read book Structure in Complexity Theory written by Alan L. Selman and published by Springer Science & Business Media. This book was released on 1986-05 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Structure in Complexity Theory Conference

Download or read book Structure in Complexity Theory Conference written by Structure in Complexity Theory Conference and published by . This book was released on 1989 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theory of Computational Complexity

Download or read book Theory of Computational Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete treatment of fundamentals and recent advances in complexity theory Complexity theory studies the inherent difficulties of solving algorithmic problems by digital computers. This comprehensive work discusses the major topics in complexity theory, including fundamental topics as well as recent breakthroughs not previously available in book form. Theory of Computational Complexity offers a thorough presentation of the fundamentals of complexity theory, including NP-completeness theory, the polynomial-time hierarchy, relativization, and the application to cryptography. It also examines the theory of nonuniform computational complexity, including the computational models of decision trees and Boolean circuits, and the notion of polynomial-time isomorphism. The theory of probabilistic complexity, which studies complexity issues related to randomized computation as well as interactive proof systems and probabilistically checkable proofs, is also covered. Extraordinary in both its breadth and depth, this volume: * Provides complete proofs of recent breakthroughs in complexity theory * Presents results in well-defined form with complete proofs and numerous exercises * Includes scores of graphs and figures to clarify difficult material An invaluable resource for researchers as well as an important guide for graduate and advanced undergraduate students, Theory of Computational Complexity is destined to become the standard reference in the field.

Book Complexity and Postmodernism

Download or read book Complexity and Postmodernism written by Paul Cilliers and published by Routledge. This book was released on 2002-09-11 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Complexity and Postmodernism, Paul Cilliers explores the idea of complexity in the light of contemporary perspectives from philosophy and science. Cilliers offers us a unique approach to understanding complexity and computational theory by integrating postmodern theory (like that of Derrida and Lyotard) into his discussion. Complexity and Postmodernism is an exciting and an original book that should be read by anyone interested in gaining a fresh understanding of complexity, postmodernism and connectionism.

Book Structure in Complexity Theory

Download or read book Structure in Complexity Theory written by and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Proceeding Structure in Complexity Theory

Download or read book Proceeding Structure in Complexity Theory written by and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Proceedings of the     Annual Structure in Complexity Theory Conference

Download or read book Proceedings of the Annual Structure in Complexity Theory Conference written by Structure in Complexity Theory Conference and published by . This book was released on 1990 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Crude Look at the Whole

Download or read book A Crude Look at the Whole written by John H. Miller and published by Basic Books. This book was released on 2016-01-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: A top expert explains why a social and economic understanding of complex systems will help society to anticipate and confront our biggest challenges Imagine trying to understand a stained glass window by breaking it into pieces and examining it one shard at a time. While you could probably learn a lot about each piece, you would have no idea about what the entire picture looks like. This is reductionism -- the idea that to understand the world we only need to study its pieces -- and it is how most social scientists approach their work. In A Crude Look at the Whole, social scientist and economist John H. Miller shows why we need to start looking at whole pictures. For one thing, whether we are talking about stock markets, computer networks, or biological organisms, individual parts only make sense when we remember that they are part of larger wholes. And perhaps more importantly, those wholes can take on behaviors that are strikingly different from that of their pieces. Miller, a leading expert in the computational study of complex adaptive systems, reveals astounding global patterns linking the organization of otherwise radically different structures: It might seem crude, but a beehive's temperature control system can help predict market fluctuations and a mammal's heartbeat can help us understand the "heartbeat" of a city and adapt urban planning accordingly. From enduring racial segregation to sudden stock market disasters, once we start drawing links between complex systems, we can start solving what otherwise might be totally intractable problems. Thanks to this revolutionary perspective, we can finally transcend the limits of reductionism and discover crucial new ideas. Scientifically founded and beautifully written, A Crude Look at the Whole is a powerful exploration of the challenges that we face as a society. As it reveals, taking the crude look might be the only way to truly see.

Book The Foundations of Computability Theory

Download or read book The Foundations of Computability Theory written by Borut Robič and published by Springer. This book was released on 2015-09-14 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism; in Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early successes such as defining incomputable problems, c.e. (computably enumerable) sets, and developing methods for proving incomputability; in Part III he explains relative computability, with chapters on computation with external help, degrees of unsolvability, the Turing hierarchy of unsolvability, the class of degrees of unsolvability, c.e. degrees and the priority method, and the arithmetical hierarchy. This is a gentle introduction from the origins of computability theory up to current research, and it will be of value as a textbook and guide for advanced undergraduate and graduate students and researchers in the domains of computability theory and theoretical computer science.