Models and Computability

doi:10.1017/CBO9780511565670

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This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Rips, Lance J. 2008. Reasoning. p. 187.

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Tarantino, Umberto 2025. A category of arrow algebras for modified realizability. Theory and Applications of Categories, Vol. 44, Issue. , p. 132.

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Edited by S. Barry Cooper, University of Leeds, John K. Truss, University of Leeds

Publisher:: Cambridge University Press
Online publication date:: May 2010
Print publication year:: 1999
Online ISBN:: 9780511565670
DOI:: https://doi.org/10.1017/CBO9780511565670

Subjects:: Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Logic, Categories and Sets, Computer Science
Series:: London Mathematical Society Lecture Note Series (259)

US$75.00

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Together, Models and Computability and its sister volume Sets and Proofs will provide readers with a comprehensive guide to the current state of mathematical logic. All the authors are leaders in their fields and are drawn from the invited speakers at 'Logic Colloquium '97' (the major international meeting of the Association of Symbolic Logic). It is expected that the breadth and timeliness of these two volumes will prove an invaluable and unique resource for specialists, post-graduate researchers, and the informed and interested nonspecialist.

‘ … will prove an invaluable and unique resource for specialists, post-graduate researchers, and the informed and interested nonspecialist.’

Source: Extrait de L’Enseignement Mathématique

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Models and Computability

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-x

Continuous Functionals of Dependent and Transfinite Types
pp 1-22

Degree-Theoretic Aspects of Computably Enumerable Reals
pp 23-40

Simplicity and Independence for Pseudo-Algebraically Closed Fields
pp 41-62

Clockwork or Turing U/universe? - Remarks on Causal Determinism and Computability
pp 63-116

A Techniques Oriented Survey of Bounded Queries
pp 117-156

Relative Categoricity in Abelian Groups
pp 157-168

Computability and Complexity Revisited
pp 169-192

Effective Model Theory: The Number of Models and Their Complexity
pp 193-240

A Survey on Canonical Bases in Simple Theories
pp 241-254

True Approximations and Models of Arithmetic
pp 255-278

On the Topological Stability Conjecture
pp 279-292

A Mahlo-Universe of Effective Domains with Totality
pp 293-312

Logic and Decision Making
pp 313-338

The Sheaf of Locally Definable Scalars over a Ring
pp 339-352

Human Styles of Quantificational Reasoning
pp 353-366

Recursion Theoretic Memories 1954–1978
pp 367-376

Fields Definable in Simple Groups
pp 377-388

A Combinatory Algebra for Sequential Functionals of Finite Type
pp 389-406

Model Theory of Analytic and Smooth Functions
pp 407-419

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Models and Computability

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