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Record Nr. |
UNINA9910782098603321 |
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Autore |
Diaconescu Răzvan |
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Titolo |
Institution-independent model theory [[electronic resource] /] / Răzvan Diaconescu |
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Pubbl/distr/stampa |
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Basel ; ; Boston, : Birkhäuser, c2008 |
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ISBN |
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1-281-86259-2 |
9786611862596 |
3-7643-8708-4 |
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Edizione |
[1st ed. 2008.] |
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Descrizione fisica |
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1 online resource (386 p.) |
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Collana |
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Studies in universal logic |
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Disciplina |
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Soggetti |
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Model theory |
Logic, Symbolic and mathematical |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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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