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＜電子ブック＞
Institution-independent Model Theory / by Razvan Diaconescu
(Studies in Universal Logic. ISSN:22970290)

版	1st ed. 2008.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2008
本文言語	英語
大きさ	XI, 376 p : online resource
著者標目	*Diaconescu, Razvan author SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Machine theory LCSH:Logic FREE:Mathematical Logic and Foundations FREE:Formal Languages and Automata Theory FREE:Logic
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-7643-8708-2

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