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Author:
Publisher: Elsevier
ISBN: 9780080533698
Category : Computers
Languages : en
Pages : 619
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Book Description
Recursive Model Theory
Author:
Publisher: Elsevier
ISBN: 9780080533698
Category : Computers
Languages : en
Pages : 619
Get Book Here
Book Description
Recursive Model Theory
Author:
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 620
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Book Description
Author:
Publisher:
ISBN: 9780444500038
Category : Recursion theory
Languages : en
Pages : 1372
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Book Description
Author: Cyrus F. Nourani
Publisher: Apple Academic Press
ISBN: 9781771882477
Category : Mathematics
Languages : en
Pages : 0
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Book Description
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: Carl Smith
Publisher: Springer Science & Business Media
ISBN: 1441985018
Category : Computers
Languages : en
Pages : 155
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Book Description
The aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for constructing and manipulating algorithms. From there the book considers the complexity of computations and the notion of a complexity measure is introduced. Finally, the book culminates in considering time and space measures and in classifying computable functions as being either feasible or not. The author assumes only a basic familiarity with discrete mathematics and computing, making this textbook ideal for a graduate-level introductory course. It is based on many such courses presented by the author and so numerous exercises are included. In addition, the solutions to most of these exercises are provided.
Author: Yu L. Ershov
Publisher: North-Holland
ISBN: 9780444500038
Category : Recursion theory
Languages : en
Pages : 664
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Book Description
Author: Raymond M. Smullyan
Publisher: Oxford University Press
ISBN: 0195344812
Category : Mathematics
Languages : en
Pages : 180
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Book Description
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: Hartley Rogers (Jr.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 482
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Book Description
Author: Lars Ljungqvist
Publisher: MIT Press
ISBN: 9780262122740
Category : Business & Economics
Languages : en
Pages : 1120
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Book Description
A significant new edition of a text that offers both tools and sample applications; extensive revisions and seven new chapters improve and expand upon the original treatment.
Author: Ann Yasuhara
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 370
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Book Description
