Technical Models and Computability: Invited Papers from Logic Colloquium'97 (0521635500)

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S. Barry Cooper, John K. Truss, "Models and Computability: Invited Papers from Logic Colloquium'97"

Together, Models and Computability and its sister volume Sets and Proofs 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.

Contents

Continuous Functionals of Dependent and Transfinite Types 1

Degree-Theoretic Aspects of Computably Enumerable Reals 23

Simplicity and Independence for Pseudo-Algebraically Closed Fields 41

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

A Techniques Oriented Survey of Bounded Queries 117

Relative Categoricity in Abelian Groups 157

Computability and Complexity Revisited 169

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

A Survey on Canonical Bases in Simple Theories 241

True Approximations and Models of Arithmetic 255

On the Topological Stability Conjecture 279

A Mahlo-Universe of Effective Domains with Totality 293

Logic and Decision Making 313

The Sheaf of Locally Definable Scalars over a Ring 339

Human Styles of Quantificational Reasoning 353

Recursion Theoretic Memories 1954-1978 367

Fields Definable in Simple Groups 377

A Combinatory Algebra for Sequential Functionals of Finite Type 389

Model Theory of Analytic and Smooth Functions 407

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