Recursive Macroeconomic Theory
Recursive Macroeconomic Theory

Author: Lars Ljungqvist

Publisher: MIT Press

Published: 2004

Total Pages: 1120

ISBN-13: 9780262122740

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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.

Higher Recursion Theory
Higher Recursion Theory

Author: Gerald E. Sacks

Publisher: Cambridge University Press

Published: 2017-03-02

Total Pages: 361

ISBN-13: 1107168430

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This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.

Recursion Theory for Metamathematics
Recursion Theory for Metamathematics

Author: Raymond M. Smullyan

Publisher: Oxford University Press

Published: 1993-01-28

Total Pages: 180

ISBN-13: 0195344812

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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.

Computability Theory
Computability Theory

Author: Herbert B. Enderton

Publisher: Academic Press

Published: 2010-12-30

Total Pages: 193

ISBN-13: 0123849594

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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

A Recursive Introduction to the Theory of Computation
A Recursive Introduction to the Theory of Computation

Author: Carl Smith

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 155

ISBN-13: 1441985018

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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.

Model Theory
Model Theory

Author: C.C. Chang

Publisher: Courier Corporation

Published: 2013-10-03

Total Pages: 674

ISBN-13: 0486310957

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This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.