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Mathematical logic --- Logic, Symbolic and mathematical --- Logique symbolique et mathématique --- Logic, symbolic and mathematical --- Logic, Symbolic and mathematical. --- Logique symbolique et mathématique

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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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This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.

Model theory. --- Model theory --- Logic, Symbolic and mathematical

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Computer science - Mathematics --- Mathematics --- Logic, symbolic and mathematical --- Computer science

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Mathematical logic --- Logique mathématique --- Calcul des prédicats --- Calcul des propositions --- Logic, Symbolic and mathematical. --- Logic, symbolic and mathematical --- Logic, Symbolic and mathematical --- Logique symbolique et mathématique --- Logique mathématique. --- Calcul des prédicats. --- Calcul des propositions.