Perspectives in Logic

Model-Theoretic Logics

Editor: J. Barwise
Editor: S. Feferman

Perspectives in Mathematical Logic, Volume 8
New York: Springer-Verlag, 1985.
893 pp.

Subjects:

03CXX (primary)
Permanent link to this monograph: http://projecteuclid.org/euclid.pl/1235417263
Mathmatical Reviews number (MathSciNet): MR0819531
ISBN:0-387-90936-2
ISBN:3-540-90936-2

Copyright © 1985, Association for Symbolic Logic.

Miscellaneous Frontmatter

List of Contributors

xvii-xviii

Part A: Introduction, Basic Theory and Examples

Chapter I: Model-Theoretic Logics: Background and Aims

J. Barwise; 3-23

Chapter II: Extended Logics: The General Framework

H.-D. Ebbinghaus; 25-76

Chapter III: Characterizing Logics

J. Flum; 77-120

Part B: Finitary Languages with Additional Quantifiers

Chapter IV: The Quantifier "There Exist Uncountably Many" and Some of Its Relatives

M. Kaufmann; 123-176

Chapter V: Transfer Theorems and Their Applications to Logics

J. H. Schmerl; 177-209

Chapter VI: Other Quantifiers: An Overview

D. Mundici; 211-233

Chapter VII: Decidability and Quantifier-Elimination

A. Baudisch, D. Seese, P. Tuschik, and M. Weese; 235-268

Part C: Infinitary Languages

Chapter VIII: ${\scr L}_{\omega_1\omega}$ and Admissible Fragments; Part I: Compactness Lost

M. Nadel; 271-287

Chapter VIII: ${\scr L}_{\omega_1\omega}$ and Admissible Fragments; Part II: Compactness Regained

M. Nadel; 288-316

Chapter IX: Larger Infinitary Languages

M. A. Dickmann; 317-363

Chapter X: Game Quantification

Ph. G. Kolaitis; 365-421

Chapter XI: Applications to Algebra

P. C. Eklof; 423-442

Part D: Second-Order Logic

Chapter XII: Definable Second-Order Quantifiers

J. Baldwin; 445-477

Chapter XIII: Monadic Second-Order Theories

Y. Gurevich; 479-506

Part E: Logics of Topology and Analysis

Chapter XIV: Probability Quantifiers

H. J. Keisler; 507-556

Chapter XV: Topological Model Theory

M. Ziegler; 557-577

Chapter XVI: Borel Structures and Measure and Category Logics

C. I. Steinhorn; 579-596

Part F: Advanced Topics in Abstract Model Theory

Chapter XVII: Set-Theoretic Definability of Logics

J. Väänänen; 599-643

Chapter XVIII: Compactness, Embeddings and Definability

J. A. Makowsky; 645-716

Chapter XIX: Abstract Equivalence Relations

J. A. Makowsky, and D. Mundici; 717-746

Chapter XX: Abstract Embedding Relations

J. A. Makowsky; 747-791

Bibliography

D. S. Scott, D. C. McCarty, and J. F. Horty; 793-893

Miscellaneous Backmatter

Perspectives in Logic

Perspectives in Logic