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Arithmétique --- Logica --- Logique --- Rekenkunde
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This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to integrate their articles and make them accessible to mathematicians new to the area.
Mathematical analysis. --- Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- 517.1 Mathematical analysis --- Mathematical analysis --- Logic, symbolic and mathematical
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"Intended for researchers and graduate students in theoretical computer science and mathematical logic, this volume contains accessible surveys by leading researchers from areas of current work in logical aspects of computer science, where both finite and infinite model-theoretic methods play an important role. Notably, the articles in this collection emphasize points of contact and connections between finite and infinite model theory in computer science that may suggest new directions for interaction. Among the topics discussed are: algorithmic model theory, descriptive complexity theory, finite model theory, finite variable logic, model checking, model theory for restricted classes of finite structures, and spatial databases. The chapters all include extensive bibliographies facilitating deeper exploration of the literature and further research"--Provided by publisher.
Finite model theory. --- Computer science --- Computer mathematics --- Electronic data processing --- Mathematics --- Model theory --- Mathematics.
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Computable functions. --- Model theory. --- Logic, Symbolic and mathematical. --- Fonctions calculables. --- Théorie des modèles. --- Logique mathématique.
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Analyse fonctionnelle --- Functional analysis. --- Logique mathématique --- Analyse mathematique --- Analyse mathematique
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