Institution-independent Model Theory / by Răzvan Diaconescu
(Studies in Universal Logic)
データ種別 | 電子ブック |
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出版者 | Basel : Birkhäuser Basel |
出版年 | 2008 |
本文言語 | 英語 |
大きさ | XI, 376 p : online resource |
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内容注記 | 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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一般注記 | 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 |
著者標目 | *Diaconescu, Răzvan author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Logic LCSH:Mathematical logic FREE:Mathematics FREE:Mathematical Logic and Foundations FREE:Mathematical Logic and Formal Languages FREE:Logic |
分 類 | DC23:511.3 |
巻冊次 | ISBN:9783764387082 |
ISBN | 9783764387082 |
URL | http://dx.doi.org/10.1007/978-3-7643-8708-2 |
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