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02675nam a22004815i 4500 |
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978-3-7643-8708-2 |
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DE-He213 |
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20151204142026.0 |
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100301s2008 sz | s |||| 0|eng d |
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|a 9783764387082
|9 978-3-7643-8708-2
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|a 10.1007/978-3-7643-8708-2
|2 doi
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|d GrThAP
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|a QA8.9-10.3
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|a MAT018000
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|a 511.3
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|a Diaconescu, Răzvan.
|e author.
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|a Institution-independent Model Theory
|h [electronic resource] /
|c by Răzvan Diaconescu.
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|a Basel :
|b Birkhäuser Basel,
|c 2008.
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|a XI, 376 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a text file
|b PDF
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|a Studies in Universal Logic
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|a 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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|a 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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|a Mathematics.
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|a Logic.
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|a Mathematical logic.
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|a Mathematics.
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|a Mathematical Logic and Foundations.
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|a Mathematical Logic and Formal Languages.
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|a Logic.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783764387075
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|a Studies in Universal Logic
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|u http://dx.doi.org/10.1007/978-3-7643-8708-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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