Recursive Model Theory
Author:
Publisher: Elsevier
Published: 1998-11-30
Total Pages: 619
ISBN-13: 9780080533698
DOWNLOAD EBOOK →Recursive Model Theory
Author:
Publisher: Elsevier
Published: 1998-11-30
Total Pages: 619
ISBN-13: 9780080533698
DOWNLOAD EBOOK →Recursive Model Theory
Author: Raymond M. Smullyan
Publisher: Oxford University Press
Published: 1993-01-28
Total Pages: 184
ISBN-13: 9780195344813
DOWNLOAD EBOOK →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
Publisher: National Geographic Books
Published: 1987-04-22
Total Pages: 0
ISBN-13: 0262680521
DOWNLOAD EBOOK →(Reprint of the 1967 edition)
Author: Yu L. Ershov
Publisher: North-Holland
Published: 1998-11-30
Total Pages: 664
ISBN-13: 9780444500038
DOWNLOAD EBOOK →Author: Gerald E. Sacks
Publisher: Cambridge University Press
Published: 2017-03-02
Total Pages: 361
ISBN-13: 1107168430
DOWNLOAD EBOOK →This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Author: Lars Ljungqvist
Publisher: MIT Press
Published: 2018-09-11
Total Pages: 1477
ISBN-13: 0262038668
DOWNLOAD EBOOK →The substantially revised fourth edition of a widely used text, offering both an introduction to recursive methods and advanced material, mixing tools and sample applications. Recursive methods provide powerful ways to pose and solve problems in dynamic macroeconomics. Recursive Macroeconomic Theory offers both an introduction to recursive methods and more advanced material. Only practice in solving diverse problems fully conveys the advantages of the recursive approach, so the book provides many applications. This fourth edition features two new chapters and substantial revisions to other chapters that demonstrate the power of recursive methods. One new chapter applies the recursive approach to Ramsey taxation and sharply characterizes the time inconsistency of optimal policies. These insights are used in other chapters to simplify recursive formulations of Ramsey plans and credible government policies. The second new chapter explores the mechanics of matching models and identifies a common channel through which productivity shocks are magnified across a variety of matching models. Other chapters have been extended and refined. For example, there is new material on heterogeneous beliefs in both complete and incomplete markets models; and there is a deeper account of forces that shape aggregate labor supply elasticities in lifecycle models. The book is suitable for first- and second-year graduate courses in macroeconomics. Most chapters conclude with exercises; many exercises and examples use Matlab or Python computer programming languages.
Author: Cyrus F. Nourani
Publisher: Apple Academic Press
Published: 2015-11-30
Total Pages: 0
ISBN-13: 9781771882477
DOWNLOAD EBOOK →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.