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Mathematical logic --- 510.6 --- Logic, Symbolic and mathematical --- Congresses. --- 510.6 Mathematical logic --- Logique mathématique
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Model theory --- Game theory --- Game theory. --- Model theory.
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Logique --- Logic --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Methodology --- Logique. --- Logic.
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This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.
Model theory --- Logic, Symbolic and mathematical --- Model theory. --- Mathematical logic
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wiskunde --- Mathematical logic --- Model theory --- Model theory. --- Théorie des modèles --- Logic, Symbolic and mathematical --- Logique mathématique --- Logic, Symbolic and mathematical. --- Logique mathématique --- Théorie des modèles
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Logic, Symbolic and mathematical. --- Logic. --- Logik. --- Logic --- Logic, symbolic and mathematical
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This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.
Model theory. --- Logic, Symbolic and mathematical --- Model theory
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Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic.
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