Institution-independent Model Theory
By: Diaconescu, Răzvan [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Studies in Universal Logic: Publisher: Basel : Birkhäuser Basel, 2008.Description: XI, 376 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764387082.Subject(s): Mathematics | Logic | Mathematical logic | Mathematics | Mathematical Logic and Foundations | Mathematical Logic and Formal Languages | LogicDDC classification: 511.3 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK10454 |
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.
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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