rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Computability and Complexity Theory
  name:
    name part: Homer, Steven.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Selman, Alan L.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2011
    edition: 2.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 300 p. online resource.
  abstract: This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the quantitative aspects of complexity theory. Dedicated chapters on undecidability, NP-completeness, and relative computability focus on the limitations of computability and the distinctions between feasible and intractable. Substantial new content in this edition includes: a chapter on nonuniformity studying Boolean circuits, advice classes and the important result of Karp─Lipton. a chapter studying properties of the fundamental probabilistic complexity classes a study of the alternating Turing machine and uniform circuit classes. an introduction of counting classes, proving the famous results of Valiant and Vazirani and of Toda a thorough treatment of the proof that IP is identical to PSPACE With its accessibility and well-devised organization, this text/reference is an excellent resource and guide for those looking to develop a solid grounding in the theory of computing. Beginning graduates, advanced undergraduates, and professionals involved in theoretical computer science, complexity theory, and computability will find the book an essential and practical learning tool. Topics and features: Concise, focused materials cover the most fundamental concepts and results in the field of modern complexity theory, including the theory of NP-completeness, NP-hardness, the polynomial hierarchy, and complete problems for other complexity classes Contains information that otherwise exists only in research literature and presents it in a unified, simplified manner Provides key mathematical background information, including sections on logic and number theory and algebra Supported by numerous exercises and supplemen…
  table of contents: Preliminaries -- Introduction to Computability -- Undecidability -- Introduction to Complexity Theory -- Basic Results of Complexity Theory -- Nondeterminism and NP-Completeness -- Relative Computability -- Nonuniform Complexity -- Parallelism -- Probabilistic Complexity Classes -- Introduction to Counting Classes -- Interactive Proof Systems -- References -- Author Index -- Subject Index.
  note: by Steven Homer, Alan L. Selman.
  subject:
    topic: Computer science
  subject:
    topic: Computers
  subject:
    topic: Algorithms
  subject:
    topic: Computer Science
  subject:
    topic: Theory of Computation
  subject:
    topic: Algorithm Analysis and Problem Complexity
  classification: QA75.5-76.95
  classification: 004.0151
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Texts in Computer Science
  identifier: 9781461406822
  identifier: http://dx.doi.org/10.1007/978-1-4614-0682-2
  record info:
    record creation date: 111209
    record change date: 20151204164446.0
    record identifier: 978-1-4614-0682-2