Model-Theoretic Logics

doi:10.1017/9781316717158

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

Makowsky, J.A. and Shelah, S. 1983. Positive results in abstract model theory: a theory of compact logics. Annals of Pure and Applied Logic, Vol. 25, Issue. 3, p. 263.

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Alechina, Natasha and Lambalgen, Michiel Van 1996. Generalized quantification as substructural logic. Journal of Symbolic Logic, Vol. 61, Issue. 3, p. 1006.

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Žáček, Martin Lukasová, Alena Vajgl, Marek and Telnarová, Zdeňka 2020. Intelligent Information and Database Systems: Recent Developments. Vol. 830, Issue. , p. 123.

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BELLAS ACOSTA, IGNACIO and VENEMA, YDE 2024. COUNTING TO INFINITY: GRADED MODAL LOGIC WITH AN INFINITY DIAMOND. The Review of Symbolic Logic, Vol. 17, Issue. 1, p. 1.

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ten Cate, Balder and Comer, Jesse 2024. Foundations of Software Science and Computation Structures. Vol. 14575, Issue. , p. 137.

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Edited by J. Barwise, Stanford University, California, S. Feferman, Stanford University, California

Publisher:: Cambridge University Press
Online publication date:: March 2017
Print publication year:: 2017
Online ISBN:: 9781316717158
DOI:: https://doi.org/10.1017/9781316717158

Subjects:: Mathematics, Logic, Categories and Sets, Geometry and Topology, Programming Languages and Applied Logic
Series:: Perspectives in Logic (8)

190.00 (GBP)

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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.

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Model-Theoretic Logics

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

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Contents

Frontmatter
pp i-iv

Preface to the Series Perspectives in Mathematical Logic
pp v-vi

Preface
pp vii-x

Contents
pp xi-xvi

List of Contributors
pp xvii-xviii

Part A - Introduction, Basic Theory and Examples
pp 1-2

Chapter I - Model-Theoretic Logics: Background and Aims
pp 3-24

Chapter II - Extended Logics: The General Framework
pp 25-76

Chapter III - Characterizing Logics
pp 77-120

Part B - Finitary Languages with Additional Quantifiers
pp 121-122

Chapter IV - The Quantifier “There Exist Uncountably Many” and Some of Its Relatives
pp 123-176

Chapter V - Transfer Theorems and Their Applications to Logics
pp 177-210

Chapter VI - Other Quantifiers: An Overview
pp 211-234

Chapter VII - Decidability and Quantifier-Elimination
pp 235-268

Part C - Infinitary Languages
pp 269-270

Chapter VIII - Lω1ω and Admissible Fragments
pp 271-316

Chapter IX - Larger Infinitary Languages
pp 317-364

Chapter X - Game Quantification
pp 365-422

Chapter XI - Applications to Algebra
pp 423-442

Part D - Second-Order Logic
pp 443-444

Chapter XII - Definable Second-Order Quantifiers
pp 445-478

Chapter XIII - Monadic Second-Order Theories
pp 479-506

Part E - Logics of Topology and Analysis
pp 507-508

Chapter XIV - Probability Quantifiers
pp 509-556

Chapter XV - Topological Model Theory
pp 557-578

Chapter XVI - Borel Structures and Measure and Category Logics
pp 579-596

Part F - Advanced Topics in Abstract Model Theory
pp 597-598

Chapter XVII - Set-Theoretic Definability of Logics
pp 599-644

Chapter XVIII - Compactness, Embeddings and Definability
pp 645-716

Chapter XIX - Abstract Equivalence Relations
pp 717-746

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Model-Theoretic Logics

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