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Razvan Diaconescu 
Institution-independent Model Theory [PDF ebook] 

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A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies and sometimes even enables a concise model-theoretic analysis of the system. Besides incorporating important methods and concepts from conventional model theory, the proposed top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. As a consequence, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained.

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Table des matières

Categories.- Institutions.- Theories and Models.- Internal Logic.- Model Ultraproducts.- Saturated Models.- Preservation and Axiomatizability.- Interpolation.- Definability.- Possible Worlds.- Grothendieck Institutions.- Institutions with Proofs.- Specification.- Logic Programming.

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Langue Anglais ● Format PDF ● Pages 376 ● ISBN 9783764387082 ● Taille du fichier 2.7 MB ● Maison d’édition Springer Basel ● Lieu Basel ● Pays CH ● Publié 2008 ● Téléchargeable 24 mois ● Devise EUR ● ID 2205887 ● Protection contre la copie DRM sociale

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