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Author : G. Lolli
Publisher :
ISBN 13 : 9783642110757
Total Pages : 242 pages
Book Rating : 4.1/5 (17 download)
Download or read book Recursion Theory and Computational Complexity written by G. Lolli and published by . This book was released on 2011-03-30 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrea Sorbi
Publisher : CRC Press
ISBN 13 : 1482269759
Total Pages : 380 pages
Book Rating : 4.4/5 (822 download)
Download or read book Complexity, Logic, and Recursion Theory written by Andrea Sorbi and published by CRC Press. This book was released on 2019-05-07 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."
Author : G. Lolli
Publisher : Springer Science & Business Media
ISBN 13 : 364211072X
Total Pages : 228 pages
Book Rating : 4.6/5 (421 download)
Download or read book Recursion Theory and Computational Complexity written by G. Lolli and published by Springer Science & Business Media. This book was released on 2011-06-17 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion.- G.E. Sacks: Priority arguments in Higgler recursion.- R.I. Soare: Construction in the recursively enumerable degrees.- W. Maass: Recursively invariant recursion theory.
Author : Gabriele Lolli
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (878 download)
Download or read book Recursion Theory and Computational Complexity written by Gabriele Lolli and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cyrus F. Nourani
Publisher : Apple Academic Press
ISBN 13 : 9781771882477
Total Pages : 0 pages
Book Rating : 4.8/5 (824 download)
Download or read book Algebraic Computability and Enumeration Models written by Cyrus F. Nourani and published by Apple Academic Press. This book was released on 2015-11-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint. The reader is first introduced to categories and functorial models, with Kleene algebra examples for languages. Functorial models for Peano arithmetic are described toward important computational complexity areas on a Hilbert program, leading to computability with initial models. Infinite language categories are also introduced to explain descriptive complexity with recursive computability with admissible sets and urelements. Algebraic and categorical realizability is staged on several levels, addressing new computability questions with omitting types realizably. Further applications to computing with ultrafilters on sets and Turing degree computability are examined. Functorial models computability is presented with algebraic trees realizing intuitionistic types of models. New homotopy techniques are applied to Marin Lof types of computations with model categories. Functorial computability, induction, and recursion are examined in view of the above, presenting new computability techniques with monad transformations and projective sets. This informative volume will give readers a complete new feel for models, computability, recursion sets, complexity, and realizability. This book pulls together functorial thoughts, models, computability, sets, recursion, arithmetic hierarchy, filters, with real tree computing areas, presented in a very intuitive manner for university teaching, with exercises for every chapter. The book will also prove valuable for faculty in computer science and mathematics.
Author : Marat M. Arslanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110807483
Total Pages : 248 pages
Book Rating : 4.1/5 (18 download)
Download or read book Recursion Theory and Complexity written by Marat M. Arslanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-10 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.
Author : Sanjeev Arora
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)
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 : Martin D. Davis
Publisher : Academic Press
ISBN 13 : 1483264580
Total Pages : 448 pages
Book Rating : 4.4/5 (832 download)
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 : Herbert B. Enderton
Publisher : Academic Press
ISBN 13 : 9780123849595
Total Pages : 192 pages
Book Rating : 4.8/5 (495 download)
Download or read book Computability Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 2010-12-30 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level. The text includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science. Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable way. Frequent historical information presented throughout More extensive motivation for each of the topics than other texts currently available Connects with topics not included in other textbooks, such as complexity theory
Author : G. Lolli
Publisher : Springer
ISBN 13 : 9783642110719
Total Pages : 236 pages
Book Rating : 4.1/5 (17 download)
Download or read book Recursion Theory and Computational Complexity written by G. Lolli and published by Springer. This book was released on 2010-11-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion.- G.E. Sacks: Priority arguments in Higgler recursion.- R.I. Soare: Construction in the recursively enumerable degrees.- W. Maass: Recursively invariant recursion theory.
Author : Martin Davis
Publisher : Academic Press
ISBN 13 : 0122063821
Total Pages : 631 pages
Book Rating : 4.1/5 (22 download)
Download or read book Computability, Complexity, and Languages written by Martin Davis and published by Academic Press. This book was released on 1994-02-03 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Klaus Ambos-Spies
Publisher : Springer
ISBN 13 : 3540471421
Total Pages : 398 pages
Book Rating : 4.5/5 (44 download)
Download or read book Recursion Theory Week written by Klaus Ambos-Spies and published by Springer. This book was released on 2006-11-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics.
Author : Neil D. Jones
Publisher : MIT Press
ISBN 13 : 9780262100649
Total Pages : 494 pages
Book Rating : 4.1/5 (6 download)
Download or read book Computability and Complexity written by Neil D. Jones and published by MIT Press. This book was released on 1997 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially programming. In a shift away from the Turing machine- and G�del number-oriented classical approaches, Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists and more applicable to practical programming problems. According to Jones, the fields of computability and complexity theory, as well as programming languages and semantics, have a great deal to offer each other. Computability and complexity theory have a breadth, depth, and generality not often seen in programming languages. The programming language community, meanwhile, has a firm grasp of algorithm design, presentation, and implementation. In addition, programming languages sometimes provide computational models that are more realistic in certain crucial aspects than traditional models. New results in the book include a proof that constant time factors do matter for its programming-oriented model of computation. (In contrast, Turing machines have a counterintuitive "constant speedup" property: that almost any program can be made to run faster, by any amount. Its proof involves techniques irrelevant to practice.) Further results include simple characterizations in programming terms of the central complexity classes PTIME and LOGSPACE, and a new approach to complete problems for NLOGSPACE, PTIME, NPTIME, and PSPACE, uniformly based on Boolean programs. Foundations of Computing series
Author : Piergiorgio Odifreddi
Publisher :
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4.3/5 (91 download)
Download or read book Classical Recursion Theory written by Piergiorgio Odifreddi and published by . This book was released on 1989 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of the study of classical recursion theory describes the universe from a local (bottom-up or synthetical) point of view, and covers the whole spectrum, from the recursive to the arithmetical sets. The text ends with a treatment of the enumeration degrees.
Author : Piergiorgio Odifreddi
Publisher :
ISBN 13 : 9780444589439
Total Pages : 668 pages
Book Rating : 4.5/5 (894 download)
Download or read book Classical recursion theory : the theory of functions and sets of natural numbers written by Piergiorgio Odifreddi and published by . This book was released on 1999 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raymond M. Smullyan
Publisher : Oxford University Press
ISBN 13 : 9780195344813
Total Pages : 184 pages
Book Rating : 4.3/5 (448 download)
Download or read book Recursion Theory for Metamathematics written by Raymond M. Smullyan and published by Oxford University Press. This book was released on 1993-01-28 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Author : Joseph R. Shoenfield
Publisher : Springer
ISBN 13 : 9783540570936
Total Pages : 84 pages
Book Rating : 4.5/5 (79 download)
Download or read book Recursion Theory written by Joseph R. Shoenfield and published by Springer. This book was released on 1993-11-03 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes originated in a one semester course given several times at Duke University. Students were generally graduate students in mathematics or computer science. They were expected to have a considerable degree of mathematical maturity. While there were no specific prerequisites, it was desirable that the student has some knowledge of elementary logic and computer programming. To appreciate some of the applications, it was desirable to have at least a slight acquaintance with some other mathematical topics, such as group theory and Borel sets. My main object was to prepare the student for studying advanced books and journal articles in recursion theory. I therefore attempted to introduce as many as possible of the topics which are of interest in contemporary research without going deeply into any of them. One topic usually treated in the course which did not make its way into these notes is complexity theory; I hope that someone more competent than I will write an introduction to this topic suitable for serious mathematicians. CONTENTS 1. Computability. . . . . · 1 2. Functions and Relations · 2 .3 3. The Basic Machine . 4. Macros ....... . · 5 5. Closure Properties . . .
